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Number of items: 79.
Article
| Clarkson, Peter (2019) Open Problems for Painlevé Equations. Symmetry, Integrability and Geometry: Methods and Applications, 15 . 006. ISSN 1815-0659. (doi:https://doi.org/10.3842/SIGMA.2019.006) (Full text available) |
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| Clarkson, Peter A. and Daalhuis, Adri B. Olde (2018) Preface: Orthogonal polynomials, special functions, and applications. Studies in Applied Mathematics, 141 (4). pp. 421-423. ISSN 0022-2526. (doi:https://doi.org/10.1111/sapm.12244) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) |
![[img]](https://kar.kent.ac.uk/style/images/fileicons/application_pdf.png)
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| Rogers, Colin and Clarkson, Peter (2018) Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation. Journal of Nonlinear Mathematical Physics, 25 (2). pp. 247-261. ISSN 1402-9251. (doi:https://doi.org/10.1080/14029251.2018.1452672) (Full text available) |
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| Rogers, Colin and Bassom, Andrew P. and Clarkson, Peter (2018) On integrable Ermakov-Painlevé IV systems. Journal of Mathematical Analysis and Applications, 462 (2). pp. 1225-1241. ISSN 0022-247X. (doi:https://doi.org/10.1016/j.jmaa.2018.02.025) (Full text available) |
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| Clarkson, Peter and Jordaan, Kerstin (2017) Properties of Generalized Freud Polynomials. Journal of Approximation Theory, 225 . pp. 148-175. ISSN 0021-9045. (doi:https://doi.org/10.1016/j.jat.2017.10.001) (Full text available) |
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| Liu, T. Y. and Chiu, T. L. and Clarkson, Peter and Chow, K. W. (2017) A connection between the maximum displacements of rogue waves and the dynamics of poles in the complex plane. Chaos: An Interdisciplinary Journal of Nonlinear Science, 27 (9). 091103. ISSN 1054-1500. E-ISSN 1089-7682. (doi:https://doi.org/10.1063/1.5001007) (Full text available) |
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| Clarkson, Peter and Dowie, Ellen (2017) Rational solutions of the Boussinesq equation and applications to rogue waves. Transactions of Mathematics and Its Applications, 1 (1). ISSN 2398-4945. E-ISSN 2398-4945. (doi:https://doi.org/10.1093/imatrm/tnx003) (Full text available) |
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| Ankiewicz, Adrian and Bassom, Andrew P. and Clarkson, Peter and Dowie, Ellen (2017) Conservation Laws and Integral Relations for the Boussinesq Equation. Studies in Applied Mathematics, . ISSN 0022-2526. E-ISSN 1467-9590. (doi:https://doi.org/10.1111/sapm.12174) (Full text available) |
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| Rogers, Colin and Clarkson, Peter (2017) Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System. Symmetry, Integrability and Geometry: Methods and Applications, 13 (18). ISSN 1815-0659. (doi:https://doi.org/10.3842/SIGMA.2017.018) (Full text available) |
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| Clarkson, Peter (2016) On Airy Solutions of the Second Painleve Equation. Studies in Applied Mathematics, 137 (1). pp. 93-109. ISSN 0022-2526. (doi:https://doi.org/10.1111/sapm.12123) (Full text available) |
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| Clarkson, Peter and Loureiro, Ana F. and Van Assche, Walter (2016) Unique positive solution for an alternative discrete Painlevé I equation. Journal of Difference Equations and Applications, . ISSN 1563-5120 (electronic) 1023-6198 (paper). (doi:https://doi.org/10.1080/10236198.2015.1127917) (Full text available) |
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| Clarkson, Peter and Jordaan, Kerstin and Kelil, Abey (2015) A Generalized Freud Weight. Studies in Applied Mathematics, 136 (3). pp. 288-320. ISSN 0022-2526. E-ISSN 1467-9590. (doi:https://doi.org/10.1111/sapm.12105) (Full text available) |
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| Clarkson, Peter and Jordaan, Kerstin (2014) The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation. Constructive Approximation, 39 (1). pp. 223-254. ISSN 0176-4276. (doi:https://doi.org/10.1007/s00365-013-9220-4) (Full text available) |
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| Clarkson, Peter and Jordaan, Kerstin (2014) The relationship between semi-classical Laguerre polynomials and the fourth Painlevé equation. Constructive Approximation, 39 (1). pp. 223-254. ISSN 0176-4276. (doi:https://doi.org/10.1007/s00365-013-9220-4) (Full text available) |
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| Clarkson, Peter (2013) Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations. Journal of Physics A: Mathematical and Theoretical, 46 (18). ISSN 1751-8113. (doi:https://doi.org/10.1088/1751-8113/46/18/185205) (Full text available) |
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| Ankiewicz, Adrian and Clarkson, Peter and Akhmediev, Nail (2010) Rogue waves, rational solutions, the patterns of their zeros and integral relations. Journal of Physics A: Mathematical and Theoretical, 43 (12). p. 122002. ISSN 1751-8113. (doi:https://doi.org/10.1088/1751-8113/43/12/122002) (Full text available) |
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| Clarkson, Peter (2009) Rational solutions of the classical Boussinesq system. Nonlinear Analysis: Real World Applications, 10 (6 Spec). pp. 3360-3371. ISSN 1468-1218. (doi:https://doi.org/10.1016/j.nonrwa.2008.09.019) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2009) Vortices and Polynomials. Studies in Applied Mathematics, 123 (1). pp. 37-62. ISSN 0022-2526. (doi:https://doi.org/10.1111/j.1467-9590.2009.00446.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2008) Rational Solutions Of The Boussinesq Equation. Analysis and Applications, 6 (4). pp. 349-369. ISSN 0219-5305. (doi:https://doi.org/10.1142/S0219530508001250) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Filipuk, Galina V. (2008) The symmetric fourth Painleve hierarchy and associated special polynomials. Studies in Applied Mathematics, 121 (2). pp. 157-188. ISSN 0022-2526. (doi:https://doi.org/10.1111/j.1467-9590.2008.00410.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Joshi, Nalini and Mazzocco, M. and Nijhoff, Frank W. and Noumi, M. (2006) One hundred years of PVI, the Fuchs–Painlevé equation - Preface. Journal of Physics A: Mathematical and General, 39 (39). ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/39/39/E01) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Bila, Nicoleta and Mansfield, Elizabeth L. and Clarkson, Peter (2006) Symmetry group analysis of the shallow water and semi-geostrophic equations. Quarterly Journal of Mechanics and Applied Mathematics, 59 (1). pp. 95-123. ISSN 0033-5614. (doi:https://doi.org/10.1093/qjmam/hbi033) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Sen, A. and Hone, Andrew N.W. and Clarkson, Peter (2006) On the Lax pairs of symmetric Painleve equations. Studies in Applied Mathematics, 117 (4). pp. 299-319. ISSN 0022-2526. (doi:https://doi.org/10.1111/j.1467-9590.2006.00356.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Harris, Shirley E. and Clarkson, Peter (2006) Painlevé Analysis and Similarity Reductions for the Magma Equation. Symmetry, Integrability and Geometry: Methods and Applications, 2 . ISSN 1815-0659. (doi:https://doi.org/10.3842/SIGMA.2006.068) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2006) Special Polynomials Associated with Rational Solutions of the Painlevé Equations and Applications to Soliton Equations. Computational Methods and Function Theory, 6 (2). pp. 329-401. ISSN 1617-9447. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2006) Special polynomials associated with rational solutions of the defocusing nonlinear Schrodinger equation and the fourth Painleve equation. European Journal of Applied Mathematics, 17 (3). pp. 293-322. ISSN 0956-7925. (doi:https://doi.org/10.1017/S0956792506006565) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Sen, A. and Hone, Andrew N.W. and Clarkson, Peter (2005) Darboux transformations and the symmetric fourth Painlevé equation. Journal of Physics A: Mathematical and General, 38 (45). pp. 9751-9764. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/38/45/003) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2005) Special polynomials associated with rational solutions of the fifth Painlevé equation. Journal of Computational and Applied Mathematics, 178 (1-2). pp. 111-129. ISSN 0377-0427. (doi:https://doi.org/10.1016/j.cam.2004.04.015) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2003) Remarks on the Yablonskii–Vorob'ev polynomials. Physics Letters A, 319 (1-2). pp. 137-144. ISSN 0375-9601. (doi:https://doi.org/10.1016/j.physleta.2003.10.016) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Hone, Andrew N.W. and Joshi, Nalini (2003) Hierarchies of Difference Equations and Bäcklund Transformations. Journal of Nonlinear Mathematical Physics, 10 . pp. 13-26. ISSN 1402-9251. (doi:https://doi.org/10.2991/jnmp.2003.10.s2.2) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2003) The fourth Painlevé equation and associated special polynomials. Journal of Mathematical Physics, 44 (11). pp. 5350-5374. ISSN 0022-2488. (doi:https://doi.org/10.1063/1.1603958) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2003) The third Painlevé equation and associated special polynomials. Journal of Physics A: Mathematical and General, 36 (36). pp. 9507-9532. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/36/36/306) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Mansfield, Elizabeth L. (2003) The second Painleve equation, its hierarchy and associated special polynomials. Nonlinearity, 16 (3). R1-R26. ISSN 0951-7715. (doi:https://doi.org/10.1088/0951-7715/16/3/201) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2003) Painlevé equations—nonlinear special functions. Journal of Computational and Applied Mathematics, 153 (1-2). pp. 127-140. ISSN 0377-0427. (doi:https://doi.org/10.1016/S0377-0427(02)00589-7) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hu, Xing-Bao and Clarkson, Peter (2002) Rational Solutions of an Extended Lotka-Volterra Equation. Journal of Nonlinear Mathematical Physics, 9 . pp. 75-93. ISSN 1402-9251. (doi:https://doi.org/10.2991/jnmp.2002.9.s1.7) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Bruzón, M.S. and Clarkson, Peter and Gandarias, M.L. and Medina, E. (2001) The symmetry reductions of a turbulence model. Journal of Physics A: Mathematical and General, 34 (18). pp. 3751-3760. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/34/18/304) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Ludlow, David K. and Clarkson, Peter and Bassom, Andrew P. (2000) New similarity solutions of the unsteady incompressible boundary-layer equations. Quarterly Journal of Mechanics and Applied Mathematics, 53 (2). pp. 175-206. ISSN 0033-5614. (doi:https://doi.org/10.1093/qjmam/53.2.175) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Joshi, Nalini and Pickering, Andrew (1999) Backlund transformations for the second Painleve hierarchy: a modified truncation approach. Inverse Problems, 15 (1). pp. 175-187. ISSN 0266-5611. (doi:https://doi.org/10.1088/0266-5611/15/1/019) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Ludlow, David K. and Clarkson, Peter and Bassom, Andrew P. (1999) Similarity reductions and exact solutions for the two-dimensional incompressible Navier-Stokes equations. Studies in Applied Mathematics, 103 (3). pp. 183-240. ISSN 0022-2526. (doi:https://doi.org/10.1111/1467-9590.00125) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Ablowitz, M.J. and Clarkson, Peter (1999) Solitons and symmetries. Journal of Engineering Mathematics, 36 (1-2). pp. 1-9. ISSN 0022-0833. (doi:https://doi.org/10.1023/A:1004581620608) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Priestley, T.J. (1999) Symmetries of a class of nonlinear fourth order partial differential equations. Journal of Nonlinear Mathematical Physics, 6 (1). pp. 66-98. ISSN 1402-9251. (doi:https://doi.org/10.2991/jnmp.1999.6.1.6) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Mansfield, Elizabeth L. and Reid, G.J. and Clarkson, Peter (1998) Nonclassical reductions of a 3+1-cubic nonlinear Schrodinger system. Computer Physics Communications, 115 (2-3). pp. 460-488. ISSN 0010-4655. (doi:https://doi.org/10.1016/S0010-4655(98)00136-2) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Priestley, T.J. (1998) Shallow water wave systems. Studies in Applied Mathematics, 101 (4). pp. 389-432. ISSN 0022-2526. (doi:https://doi.org/10.1111/1467-9590.00099) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Ludlow, David K. and Clarkson, Peter and Bassom, Andrew P. (1998) Nonclassical symmetry reductions of the three-dimensional incompressible Navier-Stokes equations. Journal of Physics A: Mathematical and General, 31 (39). pp. 7965-7980. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/31/39/012) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Bassom, Andrew P. and Clarkson, Peter and Law, C.K. and McLeod, J. Bryce (1998) Application of uniform asymptotics to the second painleve transcendent. Archive for Rational Mechanics and Analysis, 143 (3). pp. 241-71. ISSN 0003-9527. (doi:https://doi.org/10.1007/s002050050105) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hu, Xing-Bao and Clarkson, Peter (1998) Backlund transformations and nonlinear superposition formulae of a differential-difference KdV equation. Journal of Physics A: Mathematical and General, 31 (5). pp. 1405-1414. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/31/5/010) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Gordoa, Pilar R. and Pickering, Andrew (1997) Multicomponent equations associated to non-isospectral scattering problems. Inverse Problems, 13 (6). pp. 1463-1476. ISSN 0266-5611. (doi:https://doi.org/10.1088/0266-5611/13/6/004) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Mansfield, Elizabeth L. and Priestley, T.J. (1997) Symmetries of a class of nonlinear third-order partial differential equations. Mathematical and Computer Modelling, 25 (8-9). pp. 195-212. ISSN 0895-7177. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Milne, Alice E. and Clarkson, Peter and Bassom, Andrew P. (1997) Application of the isomonodromy deformation method to the fourth Painleve equation. Inverse Problems, 13 (2). pp. 421-439. ISSN 0266-5611. (doi:https://doi.org/10.1088/0266-5611/13/2/015) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Mansfield, Elizabeth L. and Clarkson, Peter (1997) Applications of the differential algebra package diffgrob2 to classical symmetries of differential equations. Journal of Symbolic Computation, 23 (5-6). pp. 517-533. ISSN 0747-7171. (doi:https://doi.org/10.1006/jsco.1996.0105) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Milne, Alice E. and Clarkson, Peter and Bassom, Andrew P. (1997) Backlund transformations and solution hierarchies for the third Painleve equation. Studies in Applied Mathematics, 98 (2). pp. 139-194. ISSN 0022-2526. (doi:https://doi.org/10.1111/1467-9590.00044) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hu, Xing-Bao and Clarkson, Peter and Bullough, Robin (1997) New integrable differential-difference systems. Journal of Physics A: Mathematical and General, 30 (20). L669-L676. ISSN 0305-4470. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Mansfield, Elizabeth L. and Clarkson, Peter (1997) Symmetries and exact solutions for a 2+1-dimensional shallow water wave equation. Mathematics and Computers in Simulation, 43 (1). pp. 39-55. ISSN 0378-4754. (doi:https://doi.org/10.1016/S0378-4754(96)00054-7) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Mansfield, Elizabeth L. and Milne, Alice E. (1996) Symmetries and exact solutions of a (2+1)-dimensional sine-Gordon system. Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences., 354 (1713). pp. 1807-1835. ISSN 0261-0523. (doi:https://doi.org/10.1098/rsta.1996.0079) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Mansfield, Elizabeth L. and Milne, Alice E. (1996) Symmetries and exact solutions of a 2+1 dimensional sine-Gordon equation. Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences., 354 . pp. 1807-1835. ISSN 0261-0523. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Olver, Peter J. (1996) Symmetry and the Chazy equation. Journal of Differential Equations, 124 (1). pp. 225-246. ISSN 0022-0396. (doi:https://doi.org/10.1006/jdeq.1996.0008) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Hu, Xing-Bao and Clarkson, Peter (1995) Rational Solutions of a Differential -Difference KDV Equation, the Equation and Equation and the discret Equetion. Journal of Physics A: Mathematical and General, 28 (17). pp. 5009-5016. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/28/17/029) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Bassom, Andrew P. and Clarkson, Peter and Hicks, Andrew C. (1995) Backlund-Transformations and Solution Hierarchies for the 4th Painleve Equation. Studies in Applied Mathematics, 95 (1). pp. 1-71. ISSN 0022-2526. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
Book section
| Clarkson, Peter (2008) The fourth Painleve equation. In: Guo, Li and Sit, William Y., eds. Differential Algebra and Related Topics. World Scientific, Singapore. ISBN 978-981-283-371-6. (Full text available) |
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| Clarkson, Peter (2006) Painleve equations - nonlinear special functions. In: Marcellan, Francisco and van Asschel, Walter, eds. Orthogonal Polynomials and Special Functions: Computation and Application. Lecture Notes in Mathematics, 1883 . Springer-Verlag, Berlin/ Heidelberg, pp. 331-411. ISBN 978-3-540-31062-4. (doi:https://doi.org/10.1007/978-3-540-36716-1_7) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Joshi, Nalini and Mazzocco, M. (2006) The Lax pair for the mKdV hierarchy. In: Delabaere, Eric and Loday-Richaud, Michele, eds. Théories Asymptotiques et Equations de Painlevé. Séminaires et Congrès (14). Sociètè Mathèematique de France, Paris, France, pp. 53-64. ISBN 978-2-85629-229-7. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2006) Special polynomials associated with rational and algebraic solutions of the Painleve equations. In: Delabaere, Eric and Loday-Richaud, Michele, eds. Theories Asymptotiques et Equations de Painleve. Societe Mathematique de France, Paris, France, pp. 21-52. ISBN 978-2-85629-229-7. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2005) Painlevé Equations and Associated Polynomials. In: Ismail, Mourad E. H. and Koelink, Erik, eds. Theory and Applications of Special Functions: A Volume Dedicated to Mizan Rahman. Developments in Mathematics (13). Springer, Berlin, pp. 123-163. ISBN 978-0-387-24231-6. (doi:https://doi.org/10.1007/0-387-24233-3_7) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter (2003) On rational solutions of the fourth Painleve equation and its Hamiltonian. In: Winternitz, Pavel and Gomez-Ulldate, D. and Iserles, A. and Levi, Decio and Olver, Peter J. and Quispel, R. and Tempesta, P., eds. Group Theory and Numerical Analysis. CRM Proceedings & Lecture Notes (39). American Mathematical Society, United States, pp. 103-118. ISBN 0-8218-3565-3. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Cosgrove, C.M. (2002) Symmetry, the Chazy equation and Chazy hierarchies. In: Harnad, John and Its, Alexander, eds. Isomondromic Deformations and Applications in Physics. CRM Proceedings & Lecture Notes (31). American Mathematical Society, United States, pp. 113-129. ISBN 0-8218-2804-5. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Mansfield, Elizabeth L. and Webster, Helen N. (2002) On Discrete Painleve Equations as Backlund Transformations. In: Coley, Alan and Levi, Decio and Milson, Robert and Rogers, Colin and Winternitz, Pavel, eds. Backlund and Darboux Transformations: The Geometry of Solitons. CRM Proceedings and Lecture Notes (29). American Mathematical Society, United States, pp. 129-139. ISBN 978-0-8218-2803-8. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Mansfield, Elizabeth L. (2002) Open problems in symmetry analysis. In: Leslie, Joshua, ed. The Geometrical Study of Differential Equations. Contemporary Mathematics (285). American Mathematical Society, United Kingdom, pp. 195-205. ISBN 0-8218-2964-5. (Full text available) |
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Monograph
| Rogers, Colin and Clarkson, Peter (2017) Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System. Technical report. arXiv.org (Full text available) |
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| Ankiewicz, Adrian and Bassom, Andrew and Clarkson, Peter and Dowie, Ellen (2016) Conservation laws and integral relations for the Boussinesq equation. Technical report. arXiv.org (Full text available) |
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| Clarkson, Peter and Dowie, Ellen (2016) Rational solutions of the Boussinesq equation and applications to rogue waves. Technical report. arxiv.org (Full text available) |
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| Clarkson, Peter and Law, Chun-Kong and Lin, Chia-Hua (2016) An algebraic proof for the Umemura polynomials for the third Painlevé equation. Technical report. arxiv.org (Full text available) |
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| Clarkson, Peter and Jordaan, Kerstin (2016) Properties of Generalized Freud Polynomials. Technical report. arxiv.org (Full text available) |
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Conference or workshop item
| Clarkson, Peter (2008) Asymptotics of the second Painleve equation. In: UNSPECIFIED. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Webster, Helen N. (2000) Hierarchies of exact solutions for the discrete third Painleve equation. In: Dg Iii, Begian Govt Interuniv and Poles, V.U.B.Theoretical Phys Div Tech and Cultural, Aff, eds. Chaos, Solitons & Fractals. Pergamon-Elsevier Science Ltd pp. 53-71. (doi:https://doi.org/10.1016/S0960-0779(98)00268-9) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Mansfield, Elizabeth L. and Webster, Helen N. (2000) On the relation between the continuous and discrete Painleve equations. In: Theoretical and Mathematical Physics. Springer Science and Business Media pp. 1-16. (doi:https://doi.org/10.1007/BF02551165) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
Thesis
| Dowie, Ellen (2018) RATIONAL SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS. Doctor of Philosophy (PhD) thesis, University of Kent,. (Full text available) |
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| Smith, James (2016) Painleve Equations and Orthogonal Polynomials. Doctor of Philosophy (PhD) thesis, University of Kent. (Full text available) |
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Edited Journal
| Clarkson, Peter and Daalhuis, Adri B. Olde, eds. (2018) Special Issue: Orthogonal Polynomials, Special Functions and Applications. Studies in Applied Mathematics, 141 (4). ISSN 0022-2526. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
| Clarkson, Peter and Koelink, Erik and Loureiro, Ana F. and Van Assche, Walter, eds. (2018) Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) - Special Issue on Orthogonal Polynomials, Special Functions and Applications. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) - Special Issue on Orthogonal Polynomials, Special Functions and Applications, . ISSN 1815-0659. (In press) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) |
