Gauge-invariant description of some (2+1)-dimensional integrable nonlinear evolution equations

DOI10.1088/1751-8113/41/27/275208zbMath1151.37052arXiv0802.2334OpenAlexW3104210760MaRDI QIDQ3516295

A. V. Gramolin, V. G. Dubrovskij

Publication date: 1 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/0802.2334

zbMATH Keywords

Davey-Stewartson systemsdispersive long-wave systemsgauge-invariant integrable nonlinear systemsNizhnik-Veselov-Novikov systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system ⋮ New exact solutions with functional parameters of the Nizhnik-Veselov-Novikov equation with constant asymptotic values at infinity ⋮ Gauge-invariant description of several \((2+1)\)-dimensional integrable nonlinear evolution equations

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