On a (2 + 1)-dimensional generalization of the Ablowitz–Ladik lattice and a discrete Davey–Stewartson system

DOI10.1088/1751-8113/44/32/325206zbMath1237.37049arXiv1103.4953OpenAlexW3101143382MaRDI QIDQ3091888

Takayuki Tsuchida, Aristophanes Dimakis

Publication date: 14 September 2011

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

Full work available at URL: https://arxiv.org/abs/1103.4953

zbMATH Keywords

Lax pairsspace discretizationdiscrete Davey-Stewartson system(2+1) dimensional Ablowitz-Ladik latticemultidromion solution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

An integrable semi-discretization of the Boussinesq equation ⋮ The closeness of the Ablowitz-Ladik lattice to the discrete nonlinear Schrödinger equation ⋮ A semi-discrete modified KdV equation ⋮ Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation

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