Multidimensional inverse scattering of integrable lattice equations

DOI10.1088/0951-7715/25/6/1613zbMath1251.39003arXiv1201.4626OpenAlexW3104322315MaRDI QIDQ2895580

Samuel Butler

Publication date: 3 July 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4626

zbMATH Keywords

consistencysoliton solutionsCauchy matrixnonlinear partial difference equationslattice Korteweg-de Vries equationABS equationsaffine-linear lattice equationsdiscrete inverse scattering transform

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14)

Related Items (7)

Darboux and binary Darboux transformations for discrete integrable systems. II: Discrete potential mKdV equation ⋮ Rational solutions to Q3 _δ in the Adler-Bobenko-Suris list and degenerations ⋮ Solutions to ABS Lattice Equations via Generalized Cauchy Matrix Approach ⋮ Two trigonometric function solutions of the mKdV equations ⋮ Spectrum transformation and conservation laws of lattice potential KdV equation ⋮ On one-soliton solutions of the Q2 equation in the ABS List ⋮ Algebro-geometric solutions to the lattice potential modified Kadomtsev–Petviashvili equation

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