Peter H van der Kamp
Peter H van der Kamp
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The staircase method: integrals for periodic reductions of integrable lattice equations
PH Van der Kamp, GRW Quispel
Journal of Physics A: Mathematical and Theoretical 43 (46), 465207, 2010
352010
Symbolic computation of Lax pairs of partial difference equations using consistency around the cube
T Bridgman, W Hereman, GRW Quispel, PH van der Kamp
Foundations of Computational Mathematics 13 (4), 517-544, 2013
302013
Almost integrable evolution equations
PH Van Der Kamp, JA Sanders
Selecta Mathematica 8 (4), 705-719, 2002
302002
Evolution of curvature invariants and lifting integrability
EL Mansfield, PH van der Kamp
Journal of Geometry and Physics 56 (8), 1294-1325, 2006
272006
Initial value problems for lattice equations
PH Van der Kamp
Journal of Physics A: Mathematical and Theoretical 42 (40), 404019, 2009
262009
Closed-form expressions for integrals of mKdV and sine-Gordon maps
PH van der Kamp, O Rojas, GRW Quispel
Journal of Physics A: Mathematical and Theoretical 40 (42), 12789, 2007
232007
Closed-form expressions for integrals of traveling wave reductions of integrable lattice equations
DT Tran, PH Van der Kamp, GRW Quispel
Journal of Physics A: Mathematical and Theoretical 42 (22), 225201, 2009
192009
Discrete Painlevé equations and their Lax pairs as reductions of integrable lattice equations
CM Ormerod, PH Van der Kamp, GRW Quispel
Journal of Physics A: Mathematical and Theoretical 46 (9), 095204, 2013
172013
Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations
ANW Hone, PH van der Kamp, GRW Quispel, DT Tran
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013
152013
Higher analogues of the discrete-time Toda equation and the quotient-difference algorithm
PE Spicer, FW Nijhoff, PH Van der Kamp
Nonlinearity 24 (8), 2229, 2011
142011
Twisted reductions of integrable lattice equations, and their Lax representations
CM Ormerod, PH Van der Kamp, J Hietarinta, GRW Quispel
Nonlinearity 27 (6), 1367, 2014
132014
On testing integrability
PH Van Der Kamp, JA Sanders
Journal of Nonlinear Mathematical Physics 8 (4), 561-574, 2001
132001
Integrable and superintegrable systems associated with multi-sums of products
PH van der Kamp, TE Kouloukas, GRW Quispel, DT Tran, P Vanhaecke
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014
112014
Growth of degrees of integrable mappings
PH Van Der Kamp
Journal of Difference Equations and Applications 18 (3), 447-460, 2012
112012
Involutivity of integrals of sine-Gordon, modified KdV and potential KdV maps
DT Tran, PH van der Kamp, GRW Quispel
Journal of Physics A: Mathematical and Theoretical 44 (29), 295206, 2011
112011
Sufficient number of integrals for the pth-order Lyness equation
DT Tran, PH Van der Kamp, GRW Quispel
Journal of Physics A: Mathematical and Theoretical 43 (30), 302001, 2010
112010
A novel nth order difference equation that may be integrable
DK Demskoi, DT Tran, PH Van der Kamp, GRW Quispel
Journal of Physics A: Mathematical and Theoretical 45 (13), 135202, 2012
102012
QRT maps and related Laurent systems
K Hamad, ANW Hone, PH van der Kamp, GRW Quispel
Advances in Applied Mathematics 96, 216-248, 2018
82018
Dressing the dressing chain
CA Evripidou, PH Van Der Kamp, C Zhang
arXiv preprint arXiv:1804.02564, 2018
82018
Lax representation for integrable O Es
O Rojas, PH van der Kamp, GRW Quispel
Symmetry and Perturbation Theory, Proc. Int. Conf. on SPT, 2-9, 2007
7*2007
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