ON GAUGE EQUIVALENT INTEGRABLE SYSTEMS AND rMATRICES FOR AKNS HIERARCHY AND A COUPLED MKdV HIERARCHY

被引：0
|
作者：
刘响林
陈庆辉
张保才
机构：
[1] Department of Mathematics and Physics
[2] P.R.China
[3] Shijiazhuang Railway Institute
[4] Shijiazhuang Railway Institute Shijiazhuang 050043
来源：
AppliedMathematicsandMechanics(EnglishEdition) | 2003年 / 07期
关键词：
gauge equivalence; r_ matrix; integrable system;
D O I：
暂无
中图分类号：
O175.2 [偏微分方程];
学科分类号：
070104 ;
摘要：
The new coupled MKdV hierarchy is obtained. By using gauge transformation, the constrained flow, the integrable system and Lax representation for the coupled MKdV hierarchy were first constructed from the AKNS hierarchy and then using the Lax representation, the r_matrix for the constrained flow of the coupled MKdV hierarchy was constructed. The second set of conserved integrals of this constrained flow and their involutivity were also given.
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页码：863 / 870
页数：8
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