Piecewise-linear soliton equations and piecewise-linear integrable maps

DOI10.1088/0305-4470/34/11/337zbMath1001.37079OpenAlexW2147307220MaRDI QIDQ2716915

Judy Scully, H. W. Capel, Gilles Reinout Willem Quispel

Publication date: 5 August 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/11/337

zbMATH Keywords

integrable mapskink solutionsdiscrete modified Korteweg-de Vries equationpiecewise-linear solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Discrete version of topics in analysis (39A12) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (6)

Reductions of lattice mKdV to \(q\)-\(\mathrm{P}_{\mathrm{VI}}\) ⋮ Tropical limit in statistical physics ⋮ An ultradiscrete integrable map arising from a pair of tropical elliptic pencils ⋮ Soliton-antisoliton collision in the ultradiscrete modified KdV equation ⋮ Hypergeometric Solutions to an Ultradiscrete Painlevé Equation ⋮ An ultradiscrete matrix version of the fourth Painlevé equation

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