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Peter H van der Kamp
Peter H van der Kamp
Senior Lecturer, La Trobe University
Verified email at latrobe.edu.au - Homepage
Title
Cited by
Cited by
Year
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, 517-544, 2013
572013
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
422010
Initial value problems for lattice equations
PH Van der Kamp
Journal of Physics A: Mathematical and Theoretical 42 (40), 404019, 2009
402009
Almost integrable evolution equations
PH van der Kamp, JA Sanders
Selecta Mathematica 8, 705-719, 2002
352002
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
282007
Evolution of curvature invariants and lifting integrability
EL Mansfield, PH van der Kamp
Journal of Geometry and Physics 56 (8), 1294-1325, 2006
282006
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
262011
Multi-component extension of CAC systems
DD Zhang, PH Van der Kamp, DJ Zhang
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 16, 060, 2020
252020
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
232014
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
232013
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
202009
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps
E Celledoni, C Evripidou, DI McLaren, B Owren, GRW Quispel, BK Tapley, ...
Journal of Physics A: Mathematical and Theoretical 52 (31), 31LT01, 2019
192019
QRT maps and related Laurent systems
K Hamad, ANW Hone, PH van der Kamp, GRW Quispel
Advances in Applied Mathematics 96, 216-248, 2018
192018
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
182013
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
162014
Growth of degrees of integrable mappings
PH van der Kamp
Journal of Difference Equations and Applications 18 (3), 447-460, 2012
162012
From discrete integrable equations to Laurent recurrences
K Hamad, PH van der Kamp
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 22 (6), 789-816, 2016
15*2016
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
152010
Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation
PH Van der Kamp, E Celledoni, RI McLachlan, DI McLaren, B Owren, ...
Journal of Physics A: Mathematical and Theoretical 52 (4), 045204, 2019
132019
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
132012
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