Items where Author, Editor or other role is "Clarkson, Peter"

Article

Clarkson, Peter, Dunning, Clare (2023) Rational Solutions of the Fifth Painleve Equation. Generalised Laguerre Polynomials. Studies in Applied Mathematics, 152 (1). pp. 453-507. ISSN 0022-2526. E-ISSN 1467-9590. (doi:10.1111/sapm.12649) (KAR id:103386)

Clarkson, Peter, Law, Chun-Kong, Lin, Chia-Hua (2023) A Constructive Proof for the Umemura Polynomials of the for the third Painlevé equation. Symmetry, Integrability and Geometry: Methods and Applications, 19 . Article Number 080. ISSN 1815-0659. (doi:10.3842/SIGMA.2023.080) (KAR id:103469)

Clarkson, Peter, Jordaan, Kerstin, Loureiro, Ana F. (2023) Generalized higher-order Freud weights. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 479 (2272). Article Number 20220788. ISSN 1364-5021. (doi:10.1098/rspa.2022.0788) (KAR id:100979)

Clarkson, Peter (2023) Classical solutions of the Degenerate Fifth Painlevé Equation. Journal of Physics A: Mathematical and Theoretical, 56 (13). Article Number 134002. ISSN 1751-8113. E-ISSN 1751-8121. (doi:10.1088/1751-8121/acbef1) (KAR id:100232)

Clarkson, Peter, Jordaan, Kerstin (2021) A generalized sextic Freud weight. Integral Transforms and Special Functions, 32 (5-8). pp. 458-482. ISSN 1065-2469. (doi:10.1080/10652469.2020.1798949) (KAR id:82162)

Clarkson, Peter A., Jordaan, Kerstin (2021) Generalised Airy polynomials. Journal of Physics A: Mathematical and Theoretical, . ISSN 1751-8113. E-ISSN 1751-8121. (doi:10.1088/1751-8121/abf019) (KAR id:87261)

Clarkson, Peter A., Gómez‐Ullate, David, Grandati, Yves, Milson, Robert (2020) Cyclic Maya diagrams and rational solutions of higher order Painlevé systems. Studies in Applied Mathematics, 144 (3). pp. 357-385. ISSN 0022-2526. (doi:10.1111/sapm.12300) (KAR id:79688)

Clarkson, Peter (2019) Open Problems for Painlevé Equations. Symmetry, Integrability and Geometry: Methods and Applications, 15 . Article Number 006. ISSN 1815-0659. (doi:10.3842/SIGMA.2019.006) (KAR id:72087)

Clarkson, Peter A., 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:10.1111/sapm.12244) (KAR id:70096)

Rogers, Colin, 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:10.1080/14029251.2018.1452672) (KAR id:66445)

Rogers, Colin, Bassom, Andrew P., Clarkson, Peter (2018) On integrable Ermakov-Painlevé IV systems. Journal of Mathematical Analysis and Applications, 462 (2). pp. 1225-1241. ISSN 0022-247X. (doi:10.1016/j.jmaa.2018.02.025) (KAR id:66116)

Clarkson, Peter, Jordaan, Kerstin (2017) Properties of Generalized Freud Polynomials. Journal of Approximation Theory, 225 . pp. 148-175. ISSN 0021-9045. (doi:10.1016/j.jat.2017.10.001) (KAR id:64055)

Liu, T. Y., Chiu, T. L., Clarkson, Peter, 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). Article Number 091103. ISSN 1054-1500. E-ISSN 1089-7682. (doi:10.1063/1.5001007) (KAR id:64054)

Clarkson, Peter, 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:10.1093/imatrm/tnx003) (KAR id:64073)

Ankiewicz, Adrian, Bassom, Andrew P., Clarkson, Peter, Dowie, Ellen (2017) Conservation Laws and Integral Relations for the Boussinesq Equation. Studies in Applied Mathematics, 139 (1). pp. 104-128. ISSN 0022-2526. E-ISSN 1467-9590. (doi:10.1111/sapm.12174) (KAR id:61648)

Rogers, Colin, Clarkson, Peter (2017) Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System. Symmetry, Integrability and Geometry: Methods and Applications, 13 (18). Article Number 18. ISSN 1815-0659. (doi:10.3842/SIGMA.2017.018) (KAR id:61649)

Clarkson, Peter (2016) On Airy Solutions of the Second Painleve Equation. Studies in Applied Mathematics, 137 (1). pp. 93-109. ISSN 0022-2526. (doi:10.1111/sapm.12123) (KAR id:51255)

Clarkson, Peter, Loureir0, Ana F., Van Assche, Walter (2016) Unique positive solution for an alternative discrete Painlevé I equation. Journal of Difference Equations and Applications, 22 (5). pp. 656-675. ISSN 1023-6198. E-ISSN 1563-5120. (doi:10.1080/10236198.2015.1127917) (KAR id:51098)

Clarkson, Peter, Jordaan, Kerstin, Kelil, Abey (2015) A Generalized Freud Weight. Studies in Applied Mathematics, 136 (3). pp. 288-320. ISSN 0022-2526. E-ISSN 1467-9590. (doi:10.1111/sapm.12105) (KAR id:51095)

Clarkson, Peter, Jordaan, Kerstin (2013) The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation. Constructive Approximation, 39 (1). pp. 223-254. ISSN 0176-4276. (doi:10.1007/s00365-013-9220-4) (KAR id:51256)

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:10.1088/1751-8113/46/18/185205) (KAR id:33120)

Ankiewicz, Adrian, Clarkson, Peter, 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:10.1088/1751-8113/43/12/122002) (KAR id:23851)

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: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) (KAR id:23089)

Clarkson, Peter (2009) Vortices and Polynomials. Studies in Applied Mathematics, 123 (1). pp. 37-62. ISSN 0022-2526. (doi: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) (KAR id:20510)

Clarkson, Peter (2008) Rational Solutions Of The Boussinesq Equation. Analysis and Applications, 6 (4). pp. 349-369. ISSN 0219-5305. (doi: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) (KAR id:13229)

Clarkson, Peter (2008) The fourth Painleve equation. . (KAR id:23090)

Clarkson, Peter, 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: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) (KAR id:12925)

Clarkson, Peter, Joshi, Nalini, Mazzocco, M., Nijhoff, Frank W., 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: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) (KAR id:3253)

Bila, Nicoleta, Mansfield, Elizabeth L., 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: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) (KAR id:3856)

Sen, A., Hone, Andrew N.W., Clarkson, Peter (2006) On the Lax pairs of symmetric Painleve equations. Studies in Applied Mathematics, 117 (4). pp. 299-319. ISSN 0022-2526. (doi: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) (KAR id:3243)

Harris, Shirley E., Clarkson, Peter (2006) Painlevé Analysis and Similarity Reductions for the Magma Equation. Symmetry, Integrability and Geometry: Methods and Applications, 2 . ISSN 1815-0659. (doi: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) (KAR id:4046)

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. (doi:10.1007/bf03321618) (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) (KAR id:4048)

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: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) (KAR id:701)

Sen, A., Hone, Andrew N.W., 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: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) (KAR id:3250)

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: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) (KAR id:3246)

Clarkson, Peter (2003) Remarks on the Yablonskii–Vorob'ev polynomials. Physics Letters A, 319 (1-2). pp. 137-144. ISSN 0375-9601. (doi: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) (KAR id:3247)

Clarkson, Peter, Hone, Andrew N.W., Joshi, Nalini (2003) Hierarchies of Difference Equations and Bäcklund Transformations. Journal of Nonlinear Mathematical Physics, 10 . pp. 13-26. ISSN 1402-9251. (doi: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) (KAR id:4050)

Clarkson, Peter (2003) The fourth Painlevé equation and associated special polynomials. Journal of Mathematical Physics, 44 (11). pp. 5350-5374. ISSN 0022-2488. (doi: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) (KAR id:3254)

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: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) (KAR id:3251)

Clarkson, Peter, Mansfield, Elizabeth L. (2003) The second Painleve equation, its hierarchy and associated special polynomials. Nonlinearity, 16 (3). R1-R26. ISSN 0951-7715. (doi: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) (KAR id:691)

Clarkson, Peter (2003) Painlevé equations—nonlinear special functions. Journal of Computational and Applied Mathematics, 153 (1-2). pp. 127-140. ISSN 0377-0427. (doi: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) (KAR id:3248)

Hu, Xing-Bao, Clarkson, Peter (2002) Rational Solutions of an Extended Lotka-Volterra Equation. Journal of Nonlinear Mathematical Physics, 9 . pp. 75-93. ISSN 1402-9251. (doi: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) (KAR id:4049)

Bruzón, M.S., Clarkson, Peter, Gandarias, M.L., 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: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) (KAR id:3854)

Ludlow, David K., Clarkson, Peter, 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: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) (KAR id:16343)

Clarkson, Peter, Webster, Helen N. (2000) Hierarchies of exact solutions for the discrete third Painleve equation. Chaos, Solitons & Fractals, 11 (1-3). pp. 53-71. ISSN 0960-0779. (doi: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) (KAR id:16287)

Clarkson, Peter, Mansfield, Elizabeth L., Webster, Helen N. (2000) On the relation between the continuous and discrete Painleve equations. Theoretical and Mathematical Physics, 122 (1). pp. 1-16. ISSN 0040-5779. (doi: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) (KAR id:16285)

Clarkson, Peter, Joshi, Nalini, 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: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) (KAR id:17219)

Ludlow, David K., Clarkson, Peter, 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: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) (KAR id:16911)

Ablowitz, M.J., Clarkson, Peter (1999) Solitons and symmetries. Journal of Engineering Mathematics, 36 (1-2). pp. 1-9. ISSN 0022-0833. (doi: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) (KAR id:17004)

Clarkson, Peter, 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: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) (KAR id:17221)

Mansfield, Elizabeth L., Reid, G.J., 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: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) (KAR id:17435)

Clarkson, Peter, Priestley, T.J. (1998) Shallow water wave systems. Studies in Applied Mathematics, 101 (4). pp. 389-432. ISSN 0022-2526. (doi: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) (KAR id:17649)

Ludlow, David K., Clarkson, Peter, 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: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) (KAR id:17427)

Bassom, Andrew P., Clarkson, Peter, Law, C.K., 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: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) (KAR id:17573)

Hu, Xing-Bao, 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: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) (KAR id:17827)

Clarkson, Peter, Gordoa, Pilar R., Pickering, Andrew (1997) Multicomponent equations associated to non-isospectral scattering problems. Inverse Problems, 13 (6). pp. 1463-1476. ISSN 0266-5611. (doi: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) (KAR id:18355)

Clarkson, Peter, Mansfield, Elizabeth L., 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. (doi:10.1016/s0895-7177(97)00069-1) (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) (KAR id:18356)

Milne, Alice E., Clarkson, Peter, 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: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) (KAR id:18191)

Mansfield, Elizabeth L., 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: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) (KAR id:18172)

Milne, Alice E., Clarkson, Peter, 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: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) (KAR id:18192)

Hu, Xing-Bao, Clarkson, Peter, Bullough, Robin (1997) New integrable differential-difference systems. Journal of Physics A: Mathematical and General, 30 (20). L669-L676. ISSN 0305-4470. (doi:10.1088/0305-4470/30/20/002) (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) (KAR id:18116)

Mansfield, Elizabeth L., 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: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) (KAR id:18173)

Clarkson, Peter, Mansfield, Elizabeth L., 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: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) (KAR id:18878)

Clarkson, Peter, Mansfield, Elizabeth L., 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) (KAR id:23877)

Clarkson, Peter, Olver, Peter J. (1996) Symmetry and the Chazy equation. Journal of Differential Equations, 124 (1). pp. 225-246. ISSN 0022-0396. (doi: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) (KAR id:18879)

Hu, Xing-Bao, 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: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) (KAR id:19609)

Bassom, Andrew P., Clarkson, Peter, 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) (KAR id:19689)

Book section

Clarkson, Peter (2008) Asymptotics of the second Painleve equation. In: Dominici, Diego and Maier, Robert, eds. Special Functions and Orthogonal Polynomials: AMS Special Session on Special Functions and Orthogonal Polynomials. Contemporary Mathematics . American Mathematical Society, Providence, Rhode Island, USA, pp. 69-83. ISBN 978-0-8218-4650-6. (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) (KAR id:13299)

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: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) (KAR id:694)

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) (KAR id:3223)

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) (KAR id:3225)

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: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) (KAR id:3245)

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) (KAR id:4052)

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. (doi:10.1090/crmp/031/09) (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) (KAR id:4091)

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) (KAR id:4077)

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. (KAR id:20151)

Thesis

Islam, Sanjida Piuli (2023) Special polynomials associated with rational solutions of Painlevé equations. Doctor of Philosophy (PhD) thesis, University of Kent,. (doi:10.22024/UniKent/01.02.100768) (KAR id:100768)

Dowie, Ellen (2018) Rational Solutions of Nonlinear Partial Differental Equations. Doctor of Philosophy (PhD) thesis, University of Kent,. (KAR id:66565)

Smith, James (2016) Painleve Equations and Orthogonal Polynomials. Doctor of Philosophy (PhD) thesis, University of Kent. (KAR id:54758)

Preprint

Clarkson, Peter and Dowie, Ellen (2017) Rational solutions of the Boussinesq equation and applications to rogue waves. [Preprint] (doi:10.48550/arXiv.1609.00503) (KAR id:59906)

Rogers, Colin and Clarkson, Peter (2017) Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System. [Preprint] (doi:10.48550/arXiv.1701.03238) (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) (KAR id:59909)

Ankiewicz, Adrian and Bassom, Andrew and Clarkson, Peter and Dowie, Ellen (2016) Conservation laws and integral relations for the Boussinesq equation. [Preprint] (doi:10.48550/arXiv.1611.09505) (KAR id:59908)

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) (KAR id:72088)

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, 15 . ISSN 1815-0659. (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) (KAR id:64886)