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

被引：0
|
作者：
Meshkov A.G. [1 ]
机构：
[1] Orel State University, Orel
来源：
Journal of Mathematical Sciences | 2008年 / 151卷 / 4期
基金：
俄罗斯基础研究基金会;
关键词：
Integrable System; Integrability Condition; Formal Power Series; Symmetry Approach; Jordan Cell;
D O I：
10.1007/s10958-008-9022-6
中图分类号：
学科分类号：
摘要：
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. © 2008 Springer Science+Business Media, Inc.
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页码：3167 / 3181
页数：14
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