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Journal of Mathematical Sciences

, Volume 151, Issue 4, pp 3167–3181 | Cite as

On symmetry classification of third-order evolutionary systems of divergent type

  • A. G. MeshkovEmail author
Article

Abstract

A symmetry classification is presented for integrable two-field third-order evolutionary systems of divergent type. The list contains thirteen exactly integrable systems. For eleven of them, differential substitutions that relate the systems with the known systems by Drinfeld-Sokolov, Ito, and Hirota-Satsuma are found. The two remaining systems seem to be new.

Keywords

Integrable System Integrability Condition Formal Power Series Symmetry Approach Jordan Cell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Orel State UniversityOrelRussia

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