Multiscale expansion on the lattice and integrability of partial difference equations

DOI10.1088/1751-8113/41/31/315208zbMath1143.37046arXiv0710.5299OpenAlexW2964051921MaRDI QIDQ3519460

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Publication date: 14 August 2008

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

Full work available at URL: https://arxiv.org/abs/0710.5299

zbMATH Keywords

integrabilitynonlinear Schrödinger equationlinearizabilitylinear Schrödinger equationdiscrete multiscale analysisdispersive \({\mathbb Z}^2 \)-lattice equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Multiple scale methods for ordinary differential equations (34E13)

Related Items (3)

Classification of discrete systems on a square lattice ⋮ Multiscale Expansion and Integrability Properties of the Lattice Potential KdV Equation ⋮ Integrability test of discrete nonlinear Schrödinger equations via multiscale reduction

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