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Items where Author, Editor or other role is "Hone, Andrew"

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Number of items: 74.

2021

Hone, Andrew N.W. (2021) Deformations of cluster mutations and invariant presymplectic forms. Letters in Mathematical Physics, . ISSN 0377-9017. (Submitted) (KAR id:89747)
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Hone, Andrew N.W. (2021) Heron triangles with two rational medians and Somos-5 sequences. Proceedings of the London Mathematical Society, . ISSN 0024-6115. (Submitted) (KAR id:89745)
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Spacek, Peter (2021) Laurent polynomial Landau-Ginzburg models for cominuscule homogeneous spaces and mirror symmetry for the exceptional family. Doctor of Philosophy (PhD) thesis, University of Kent. (doi:10.22024/UniKent/01.02.88285) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:88285)
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Hone, Andrew N.W., Varona, Juan Luis (2021) Continued fractions for strong Engel series and Lüroth series with signs. Acta Arithmetica, 199 . ISSN 0065-1036. (doi:10.4064/aa200529-26-11) (KAR id:89769)
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Hone, Andrew N.W. (2021) ECM Factorization with QRT Maps. In: Advances in Software Engineering, Education, and e-Learning. Transactions on Computational Science and Computational Intelligence. Springer. ISBN 978-3-030-70872-6. (doi:10.1007/978-3-030-70873-3_28) (KAR id:81861)
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2020

Hone, Andrew N.W., Pallister, Joe (2020) Linear relations for Laurent polynomials and lattice equations. Nonlinearity, 33 (11). Article Number 5961. ISSN 0951-7715. (doi:10.1088/1361-6544/ab9dcc) (KAR id:81639)
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Hone, Andrew N.W., Kouloukas, Theodoros E. (2020) Discrete Hirota reductions associated with the lattice KdV equation. Journal of Physics A: Mathematical and Theoretical, 53 (36). Article Number 364002. ISSN 1751-8113. (doi:10.1088/1751-8121/aba1b8) (KAR id:81455)
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Hone, Andrew N.W. (2020) Efficient ECM Factorization in Parallel with the Lyness Map. In: ISSAC '20: Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation. . ACM ISBN 978-1-4503-7100-1. (doi:10.1145/3373207.3404044) (KAR id:81862)
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Hone, Andrew N.W. (2020) Continued fractions and Hankel determinants from hyperelliptic curves. Communications on Pure and Applied Mathematics, . ISSN 0010-3640. (doi:10.1002/cpa.21923) (KAR id:79346)
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Pallister, Joe (2020) Linearisability and Integrability of Discrete Dynamical Systems from Cluster and LP Algebras. Doctor of Philosophy (PhD) thesis, University of Kent,. (KAR id:81841)
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Barnes, Lucy E. (2020) Integrable and non-integrable equations with peaked soliton solutions. Doctor of Philosophy (PhD) thesis, University of Kent,. (KAR id:79691)
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Hone, A.N.W. and Quispel, G.R.W. (2020) Analogues of Kahan's method for higher order equations of higher degree. In: Shi, Y., ed. Asymptotic, Algebraic and Geometric Aspects of Integrable Systems In Honor of Nalini Joshi On Her 60th Birthday, TSIMF, Sanya, China, April 9–13, 2018. Springer Proceedings in Mathematics & Statistics . Springer, Cham, Switzerland, pp. 175-189. ISBN 978-3-030-56999-0. E-ISBN 978-3-030-57000-2. (doi:10.1007/978-3-030-57000-2_9) (KAR id:81279)
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2019

Christodoulidi, Helen, Hone, Andrew N.W., Kouloukas, Theodoros E. (2019) A new class of integrable Lotka–Volterra systems. Journal of Computational Dynamics, 6 (2). pp. 223-237. ISSN 2158-2491. (doi:10.3934/jcd.2019011) (KAR id:75267)
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Hay, M., Hone, Andrew N.W., Novikov, Vladimir S., Wang, Jing Ping (2019) Remarks on certain two-component systems with peakon solutions. Journal of Geometric Mechanics, 11 (4). pp. 561-573. ISSN 1941-4889. (doi:10.3934/jgm.2019028) (KAR id:67146)
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Serwa, Nitin (2019) Algebraic aspects of differential equations. Doctor of Philosophy (PhD) thesis, University of Kent,. (KAR id:76276)
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Barnes, Lucy, Hone, Andrew N.W. (2019) Dynamics of conservative peakons in a system of Popowicz. Physics Letters A, 383 (5). pp. 406-413. ISSN 0375-9601. (doi:10.1016/j.physleta.2018.11.015) (KAR id:70202)
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Hone, Andrew N.W. and Lampe, P. and Kouloukas, Theodoros E. (2019) Cluster Algebras and Discrete Integrability. In: Euler, Norbert and Nucci, Maria Clara, eds. Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 2. CRC Press. ISBN 978-0-367-20847-9. E-ISBN 978-0-429-26374-3. (doi:10.1201/9780429263743) (KAR id:76592)
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2018

Hone, Andrew N.W., Varona, Juan Luis (2018) Continued fractions and irrationality exponents for modified engel and pierce series. Monatshefte fur Mathematik, . pp. 1-16. ISSN 0026-9255. E-ISSN 1436-5081. (doi:10.1007/s00605-018-1244-1) (KAR id:70203)
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Hone, Andrew N.W., Jeffery, L. Edson, Selcoe, Robert G. (2018) On a Family of Sequences Related to Chebyshev Polynomials. Journal of Integer Sequences, 21 . 18.7.2. ISSN 1530-7638. (KAR id:69496)
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Hone, Andrew N.W., Ward, Chloe (2018) On the General Solution of the Heideman–Hogan Family of Recurrences. Proceedings of the Edinburgh Mathematical Society, 61 (4). pp. 1113-1125. ISSN 0013-0915. (doi:10.1017/S0013091518000196) (KAR id:68768)
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Hamad, K., Hone, Andrew N.W., van der Kamp, Peter H., Quispel, G.R.W. (2018) QRT maps and related Laurent systems. Advances in Applied Mathematics, 96 . pp. 216-248. ISSN 0196-8858. (doi:10.1016/j.aam.2017.12.006) (KAR id:66438)
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Hone, Andrew N.W., Zullo, F. (2018) A Hirota bilinear equation for Painlevé transcendents PIV, PII and PI. Random Matrices: Theory and Applications, 7 (4). Article Number 1840001. ISSN 2010-3263. (doi:10.1142/S2010326318400014) (KAR id:70201)
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2017

Hone, Andrew N.W., Kouloukas, Theodoros E., Quispel, G.R.W. (2017) Some integrable maps and their Hirota bilinear forms. Journal of Physics A: Mathematical and Theoretical, 51 (4). ISSN 1751-8113. E-ISSN 1751-8121. (doi:10.1088/1751-8121/aa9b52) (KAR id:64512)
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Hone, Andrew N.W., Novikov, Vladimir S., Wang, Jing Ping (2017) Generalizations of the short pulse equation. Letters in Mathematical Physics, 108 . pp. 927-947. ISSN 0377-9017. E-ISSN 1573-0530. (doi:10.1007/s11005-017-1022-3) (KAR id:61703)
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Hone, Andrew N.W., Kouloukas, Theodoros E., Ward, Chloe (2017) On reductions of the Hirota-Miwa equation. Symmetries, Integrability and Geometry: Methods and Applications, 13 (57). pp. 1-17. ISSN 1815-0659. (doi:10.3842/SIGMA.2017.057) (KAR id:61659)
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Judge, Edmund William (2017) Spectral Results for Perturbed Periodic Jacobi Operators. Doctor of Philosophy (PhD) thesis, University of Kent,. (KAR id:63374)
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Hone, Andrew N.W., Novikov, Vladimir S., Wang, Jing Ping (2017) Two-component generalizations of the Camassa-Holm equation. Nonlinearity, 30 (2). pp. 622-658. ISSN 0951-7715. E-ISSN 1361-6544. (doi:10.1088/1361-6544/aa5490) (KAR id:54154)
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Hone, Andrew N.W. and Krusch, Steffen (2017) Differential Geometry and Mathematical Physics. In: Analysis and Mathematical Physics. LTCC Advanced Mathematics Series . World Scientific, pp. 1-40. ISBN 978-1-78634-098-6. (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:56193)
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2016

Fedorov, Yuri N., Hone, Andrew N.W. (2016) Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties. Journal of Integrable Systems, 1 (1). ISSN 2058-5985. (doi:10.1093/integr/xyw012) (KAR id:53527)
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Hone, Andrew N.W. (2016) On the continued fraction expansion of certain Engel series. Journal of Number Theory, 164 . pp. 269-281. ISSN 0022-314X. (doi:10.1016/j.jnt.2015.12.024) (KAR id:53528)
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2015

Towler, Kim (2015) NON-STANDARD DISCRETIZATIONS OF DIFFERENTIAL EQUATIONS. Doctor of Philosophy (PhD) thesis, University of Kent,. (KAR id:66665)
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Hone, Andrew N.W. (2015) Curious Continued Fractions, Nonlinear Recurrences and Transcendental Numbers. Journal of Integer Sequences, 18 (15.8.4). pp. 1-10. ISSN 1530-7638. (KAR id:50523)
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Hone, Andrew N.W. (2015) Algebraic entropy for algebraic maps. Journal of Physics A: Mathematical and Theoretical, 49 (2). ISSN 1751-8113. (doi:10.1088/1751-8113/49/2/02LT01) (KAR id:50984)
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Hone, Andrew N.W. (2015) Continued fractions for some transcendental numbers. Monatshefte fur Mathematik, . ISSN 0026-9255. E-ISSN 1436-5081. (doi:10.1007/s00605-015-0844-2) (KAR id:50921)
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Hone, Andrew N.W., Towler, Kim (2015) Non-standard discretization of biological models. Natural Computing, 14 . pp. 39-48. ISSN 1567-7818. (KAR id:41482)
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2014

Hone, Andrew N.W., Lafortune, Stephane (2014) Stability of stationary solutions for nonintegrable peakon equations. Physica D: Nonlinear Phenomena, 269 . pp. 28-36. ISSN 0167-2789. (doi:10.1016/j.physd.2013.11.006) (KAR id:41484)
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Fordy, Allan P., Hone, Andrew N.W. (2014) Discrete integrable systems and Poisson algebras from cluster maps. Communications in Mathematical Physics, 325 (2). pp. 527-584. ISSN 0010-3616. (doi:10.1007/s00220-013-1867-y) (KAR id:41486)
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Hone, Andrew N.W., Inoue, Rei (2014) Discrete Painlevé equations from Y-systems. Journal of Physics A: Mathematical and Theoretical, 47 . ISSN 1751-8113. (doi:10.1088/1751-8113/47/47/474007) (KAR id:41481)
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Hone, Andrew N.W., Ward, Chloe (2014) A family of linearizable recurrences with the Laurent property. Bulletin of the London Mathematical Society, 46 (3). pp. 503-516. ISSN 0024-6093. (doi:10.1112/blms/bdu004) (KAR id:41483)
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2013

Hone, Andrew N.W., van der Kamp, Peter H., Quispel, G R W, Tran, D T (2013) Integrability of reductions of the discrete Korteweg-de Vries and potential Korteweg-de Vries equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469 (2154). ISSN 1471-2946. (doi:10.1098/rspa.2012.0747) (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:40534)

Hone, Andrew N.W., Ragnisco, Orlando, Zullo, Federico (2013) Properties of the series solution for Painlevé I. Journal of Nonlinear Mathematical Physics, 20 (Supp.1). pp. 85-100. ISSN 1402-9251. (doi:10.1080/14029251.2013.862436) (KAR id:41485)
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2011

Chu, Dominique, Zabet, Nicolae Radu, Hone, Andrew N.W. (2011) Optimal Parameter Settings for Information Processing in Gene Regulatory Networks. BioSystems, . pp. 182-196. (doi:10.1016/j.biosystems.2011.01.006) (KAR id:30778)
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Fordy, Allan P., Hone, Andrew N.W. (2011) Symplectic Maps from Cluster Algebras. Symmetry, Integrability and Geometry: Methods and Applications, 7 (091). pp. 1-12. E-ISSN 1815-0659. (doi:10.3842/SIGMA.2011.091) (KAR id:41487)
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2010

Zabet, Nicolae Radu, Hone, Andrew N.W., Chu, Dominique (2010) Design Principles of Transcriptional Logic Circuits. In: Artificial Life XII Proceedings of the Twelfth International Conference on the Synthesis and Simulation of Living Systems. . pp. 182-196. MIT 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) (KAR id:30641)

2009

Hone, Andrew N.W., Lundmark, H., Szmigielski, J. (2009) Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa--Holm type equation. Dynamics of Partial Differential Equations, 6 (3). pp. 253-289. ISSN 1548-159X. (KAR id:24242)
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Hone, Andrew N.W., Irle, Michael V. (2009) On the non-integrability of the Popowicz peakon system. Dynamical Systems and Differential Equations, 2009 (2009). pp. 359-366. ISSN 1078-0947. (doi:10.3934/proc.2009.2009.359) (KAR id:41490)
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Hone, Andrew N.W., Petrera, Matteo (2009) Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras. Journal of Geometric Mechanics, 1 (1). pp. 55-85. ISSN 1941-4889. (doi:10.3934/jgm.2009.1.55) (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:24243)

2008

Hone, Andrew N.W., Wang, Jing Ping (2008) Integrable peakon equations with cubic nonlinearity. Journal of Physics A: Mathematical and Theoretical, 41 . ISSN 1751-8113. (doi:37200210.1088/1751-8113/41/37/372002) (KAR id:15691)
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Timmis, Jon, Hone, Andrew N.W., Stibor, Thomas, Clark, Edward (2008) Theoretical advances in artificial immune systems. Theoretical Computer Science, 403 (1). pp. 11-32. ISSN 0304-3975. (doi:10.1016/j.tcs.2008.02.011) (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:15264)

Hone, Andrew N.W., Swart, Christine (2008) Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences. Mathematical Proceedings of the Cambridge Philosophical Society, 145 (Part I). pp. 65-85. ISSN 0305-0041. (doi:10.1017/s030500410800114x) (KAR id:15690)
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Hone, Andrew N.W. (2008) Algebraic curves, integer sequences and a discrete Painleve transcendent. In: SIDE 6, 19-24 June 2004, Helsinki, Finland. (Unpublished) (KAR id:41489)
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Common, Alan K., Hone, Andrew N.W. (2008) Rational solutions of the discrete time Toda lattice and the alternate discrete Painleve II equation. Journal of Physics A: Mathematical and Theoretical, 41 (48). p. 485203. ISSN 1751-8113. (doi:10.1088/1751-8113/41/48/485203) (KAR id:41488)
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Hone, Andrew N.W., Novikov, Vladimir S., Verhoeven, C. (2008) An extended Henon-Heiles system. Physics Letters A, 372 (9). pp. 1440-1444. ISSN 0375-9601. (doi:10.1016/j.physleta.2007.09.063) (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:15689)

2007

Hone, Andrew N.W. (2007) Laurent Polynomials and Superintegrable Maps. Symmetry, Integrability and Geometry: Methods and Applications, 3 (022). pp. 1-18. ISSN 1815-0659. (KAR id:41491)
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Hone, Andrew N.W. (2007) Sigma function solution of the initial value problem for Somos 5 sequences. Transactions of the American Mathematical Society, 359 (10). pp. 5019-5034. ISSN 0002-9947. (doi:10.1090/S0002-9947-07-04215-8) (KAR id:771)
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Hone, Andrew N.W. (2007) Singularity confinement for maps with the Laurent property. Physics Letters A, 361 (4-5). 341 -345. ISSN 0375-9601. (doi:10.1016/j.physleta.2006.09.078) (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:2310)

2006

Hone, Andrew N.W. (2006) Diophantine non-integrability of a third order recurrence with the Laurent property. Journal of Physics A: Mathematical and General, 39 (12). L171-L177. ISSN 0305-4470. (doi:10.1088/0305-4470/39/12/L01) (KAR id:41492)
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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)

2005

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)

Hone, Andrew N.W. (2005) Non-existence of elliptic travelling wave solutions of the complex Ginzburg-Landau equation. Physica D: Nonlinear Phenomena, 205 (1-4). pp. 292-306. ISSN 0167-2789. (doi:10.1016/j.physd.2004.10.011) (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:680)

Hone, Andrew N.W. (2005) Elliptic curves and quadratic recurrence sequences. Bulletin of the London Mathematical Society, 37 (Part 2). pp. 161-171. ISSN 0024-6093. (doi:10.1112/S0024609304004163) (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:682)

Holm, Darryl D., Hone, Andrew N.W. (2005) A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith). Journal of Nonlinear Mathematical Physics, 12 (Sup.1). pp. 380-394. ISSN 1402-9251. (KAR id:41497)
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Braden, H.W., Enolskii, V.Z., Hone, Andrew N.W. (2005) Bilinear recurrences and addition formulae for hyperelliptic sigma functions. Journal of Nonlinear Mathematical Physics, 12 (Sup.2). pp. 46-62. ISSN 1402-9251. (doi:10.2991/jnmp.2005.12.s2.5) (KAR id:41493)
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2004

Hone, Andrew N.W., Novikov, Vladimir S. (2004) On a functional equation related to the intermediate long wave equation. Journal of Physics A: Mathematical and General, 37 (32). L399-L406. ISSN 0305-4470. (doi:10.1088/0305-4470/37/32/L02) (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:1013)

2003

Kelsey, Johnny and Timmis, Jon and Hone, Andrew N.W. (2003) Chasing Chaos. In: Sarker, Ruhul Amin and Reynolds, R. and Abbass, Hussein Aly and Kay-Chen, T. and McKay, R. and Essam, D. and Gedeon, T., eds. The 2003 Congress on Evolutionary Computation. IEEE, pp. 413-419. ISBN 0-7803-7804-0. (doi:10.1109/CEC.2003.1299605) (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:13864)

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)

Holm, Darryl D., Hone, Andrew N.W. (2003) Non-integrability of a fifth order equation with integrable two-body dynamics. Theoretical and Mathematical Physics, 137 (1). pp. 1459-1471. ISSN 0040-5779. (doi:10.1023/A:1026060924520) (KAR id:41496)
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Hone, Andrew N.W., Wang, Jing Ping (2003) Prolongation algebras and Hamiltonian operators for peakon equations. Inverse Problems, 19 (1). pp. 129-145. ISSN 0266-5611. (doi:10.1088/0266-5611/19/1/307) (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:759)

2002

Degasperis, A., Holm, Darryl D., Hone, Andrew N.W. (2002) A new integrable equation with peakon solutions. Theoretical and Mathematical Physics, 133 (2). pp. 1463-1474. ISSN 0040-5779. (doi:10.1023/A:1021186408422) (KAR id:684)
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Hone, Andrew N.W. (2002) Lattice equations and tau-functions for a coupled Painlevé system. Nonlinearity, 15 (3). pp. 735-745. ISSN 0951-7715. (doi:10.1088/0951-7715/15/3/313) (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:41498)

2001

Hone, Andrew N.W., Kuznetsov, Vadim B., Ragnisco, Orlando (2001) Backlund transformations for the sl(2) Gaudin magnet. Journal of Physics A: Mathematical and General, 34 (11). pp. 2477-2490. ISSN 0305-4470. (KAR id:41495)
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2000

Nijhoff, Frank W., Hone, Andrew N.W., Joshi, Nalini (2000) On a Schwarzian PDE associated with the KdV Hierarchy. Physics Letters A, 267 (2-3). pp. 147-156. ISSN 0375-9601. (doi:10.1016/S0375-9601(00)00063-3) (KAR id:41499)
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Nijhoff, Frank W., Joshi, Nalini, Hone, Andrew N.W. (2000) On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation. Physics Letters A, 264 (5). pp. 396-406. ISSN 0375-9601. (doi:10.1016/S0375-9601(99)00764-1) (KAR id:41500)
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1999

Hone, Andrew N.W., Kuznetsov, Vadim B., Ragnisco, Orlando (1999) Backlund transformations for many-body systems related to KdV. Journal of Physics A: Mathematical and General, 32 (27). L299-L306. ISSN 0305-4470. (doi:10.1088/0305-4470/32/27/102) (KAR id:41494)
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This list was generated on Fri May 27 20:05:00 2022 BST.