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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 (4), 517-544, 2013
462013
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
392010
Almost integrable evolution equations
PH Van Der Kamp, JA Sanders
Selecta Mathematica 8 (4), 705-719, 2002
342002
Initial value problems for lattice equations
PH Van der Kamp
Journal of Physics A: Mathematical and Theoretical 42 (40), 404019, 2009
312009
Evolution of curvature invariants and lifting integrability
EL Mansfield, PH van der Kamp
Journal of Geometry and Physics 56 (8), 1294-1325, 2006
282006
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
272007
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
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
182014
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
182013
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
182011
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
162020
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
162013
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
Growth of degrees of integrable mappings
PH Van Der Kamp
Journal of Difference Equations and Applications 18 (3), 447-460, 2012
132012
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
122019
QRT maps and related Laurent systems
K Hamad, ANW Hone, PH van der Kamp, GRW Quispel
Advances in Applied Mathematics 96, 216-248, 2018
122018
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
122011
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
122010
On testing integrability
PH Van Der Kamp, JA Sanders
Journal of Nonlinear Mathematical Physics 8 (4), 561-574, 2001
122001
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
112019
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