Classification of Integrable Divergent N -Component Evolution Systems

Author: Meshkov A. G.  

Publisher: Springer Publishing Company

ISSN: 0040-5779

Source: Theoretical and Mathematical Physics, Vol.139, Iss.2, 2004-05, pp. : 609-622

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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-Bäcklund transformations with a spectral parameter for all systems.