A. G. Meshkov, V. V. Sokolov, “Classification of Integrable Divergent <nobr>$N$</nobr>-Component Evolution Systems”, TMF, 2004, Volume 139, Number 2,Pages <nobr>192

This article is cited in 24 papers

Classification of Integrable Divergent $N$-Component Evolution Systems

A. G. Meshkov^a, V. V. Sokolov^b

^a Orel State University
^b Landau Institute for Theoretical Physics, Centre for Non-linear Studies

Abstract: We use a symmetry approach to solve the classification problem for integrable $N$-component evolution systems having the form of conservation laws. We obtain complete lists of both isotropic and anisotropic systems of this type and find auto-Bдcklund transformations with a spectral parameter for all systems.

Keywords: symmetries, Bäcklund transformation, evolution equations.

Received: 22.04.2003
Revised: 21.05.2003

DOI: 10.4213/tmf55