ON GAUGE EQUIVALENT INTEGRABLE SYSTEMS AND r－MATRICES FOR AKNS HIERARCHY AND A COUPLED MKdV HIERARCHY

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 represemation, the r-matrix for the constrained flow of t...

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 24; no. 7; pp. 863 - 870
Main Author 刘响林 陈庆辉 张保才
Format Journal Article
LanguageEnglish
Published Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, P.R. China 01.07.2003
Subjects
AKNS体系
r-矩阵
可积系统
耦合MKdV体系
gauge equivalence
r- matrix
integrable system
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Summary: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 represemation, 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.
Bibliography:O175.5
31-1650/O1
O411.1
ISSN:0253-4827
1573-2754
DOI:10.1007/bf02437819