Publications

Peter H. van der Kamp

 

Publications

Publications

Published Journal papers

  1. Initial value problems for quad equations, P.H. van der Kamp, J. Phys. A: Math. Theor.

48 (2015) 065204.

  1. Integrable and superintegrable systems associated with multi-sums of products, P.H.

van der Kamp, T.E. Kouloukas, G.R.W. Quispel, D.T. Tran and P. Vanhaecke, Proc.

R. Soc. A 470 (2014) 20140481.

  1. Twisted reductions of integrable lattice equations, and their Lax representations, C.M.

Ormerod, P.H. van der Kamp, J. Hietarinta, G.R.W. Quispel, Nonlinearity 27 (2014)

1367.

  1. On the Fourier transform of the greatest common divisor, P.H. van der Kamp, INTE-

GERS 13 (2013) A24 (16pp).

  1. Discrete Painleve equations and their Lax pairs as reductions of integrable lattice equations, C.M. Ormerod, P.H. van der Kamp and G.R.W. Quispel, J. Phys. A: Math.

Theor. 46 (2013) 095204 (22pp).

  1. Integrability of reductions of the discrete Korteweg-De Vries and potential Korteweg-De Vries equations, A.N.W. Hone, P.H. van der Kamp, G.R.W. Quispel, and D.T. Tran, Proc R Soc A 469 (2013) 20120747.
  2. Symbolic computation of Lax pairs of partial di erence equations using consistency

around the cube, T. Bridgman, W. Hereman, G. R. W. Quispel, and P.H. van der

Kamp, Found. Comput. Math. 13 (2013) 517{544.

  1. A novel nth order di erence equation that may be integrable, D.K. Demskoi, D.T. Tran,

P.H. van der Kamp and G.R.W Quispel, J. Phys. A: Math. Theor. 45 (2012) 135202.

  1. Involutivity of integrals for sine-Gordon, modi ed KdV and potential KdV maps, D.

Tran, P.H. van der Kamp, G.R.W. Quispel, J. Phys. A 44 (2011) 295206.

  1. Higher analogues of the discrete-time Toda equation and the quotient-di erence algo-

rithm, P.E. Spicer, F.W. Nijho , P.H. van der Kamp, Nonlinearity 24 (2011) 2229{2263.

  1. Growth of degrees of integrable mappings, P.H. van der Kamp, J. Di er. Equ. Appl.

18 (2011) 447{460.

  1. The staircase method: integrals for periodic reductions of integrable lattice equations,

P.H. van der Kamp and G.R.W. Quispel, J. Phys. A: Math. Theor. 43 (2010) 465207.

  1. Sucient number of integrals for the pth order Lyness equation, D. Tran, P.H. van der

Kamp, G.R.W. Quispel, J. Phys. A: Math. Theor. 43 (2010) 302001.

  1. Global classi cation of 2-component approximately integrable evolution equations, P.H. van der Kamp, Found. Comput. Math. 9 (2009) 559{597.
  2. Initial value problems for lattice equations, P.H. van der Kamp, J. Phys. A: Math.

Theor. 42 (2009) 404019.

  1. Closed-form expressions for integrals of traveling wave reductions of integrable latticeequations, Dinh T. Tran, P.H. van der Kamp, G.R.W. Quispel, J. Phys. A: Math.

Theor. 42 (2009) 225201.

  1. Closed-form expressions for integrals of mKdV and sine-Gordon maps, P.H. van der

Kamp, O. Rojas and G.R.W. Quispel, J. Phys A.: Math Gen. 40 (2007) 12789{12798.

  1. Evolution of curvature invariants and lifting integrability, Elizabeth L. Mans eld and

P.H. van der Kamp, J. Geom. Phys. 56 (2006) 1294{1325.

  1. Classi cation of Integrable B-equations, P.H. van der Kamp, J. Di er. Equations 202

(2004) 256{283.

  1. On proving integrability, P.H. van der Kamp, Inverse Probl. 18 (2002) 405{414.
  2. Almost Integrable Evolution Equations, P.H. van der Kamp and Jan A. Sanders, Selecta Mathematica (N.S.) 8 (2002) 705{719.
  3. On Testing Integrability, P.H. van der Kamp and Jan A. Sanders, J Nonlinear Math.

Phy. 8 (2001) 561{574.

Conference proceedings

  1. Towards global classi cations: a Diophantine approach, P.H. van der Kamp, proceedings 'Symmetry and Perturbation Theory 2007' (2007) 278{279.
  2. Lax representation for integrable OEs, O. Rojas, P.H. van der Kamp and G.R.W.

Quispel, proceedings `Symmetry and Perturbation Theory 2007' (2007) 271{272.

  1. Hanging a Carillon in a Broeksystem, Chris Budd et al., Proceedings Fourty-Fifth

European Study Group with Industry (2004) 73{90.

  1. Integrable systems and number theory, P.H. van der Kamp and Jan A. Sanders and

Jaap Top, proceedings `Di erential Equations and the Stokes Phenomenon 2001' (2002)

171{201.

  1. The use of p-adic numbers in calculating symmetries of evolution equations, P.H. van

der Kamp, proceedings `Symmetry in Nonlinear Mathematical Physics 2001' (2002)

151{155.

Preprints

  1. From integrable equations to Laurent recurrences, K. Hamad, P.H. van der Kamp,

arXiv:1412.5712 [nlin.SI]

  1. Symmetry condition in terms of Lie brackets, P.H. van der Kamp, arXiv:0802.1954v2

[nlin.SI].