On symmetry classification of third-order evolutionary systems of divergent type
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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.
KeywordsIntegrable System Integrability Condition Formal Power Series Symmetry Approach Jordan Cell
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