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

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (7): 863-870.

• 论文 • 上一篇

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

刘响林, 陈庆辉, 张保才

Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, P.R.China

收稿日期:2002-01-17 修回日期:2003-03-10 出版日期:2003-07-18 发布日期:2003-07-18
通讯作者: WANG Bao

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

LIU Xiang-lin, CHEN Qing-hui, ZHANG Bao-cai

Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, P.R.China

Received:2002-01-17 Revised:2003-03-10 Online:2003-07-18 Published:2003-07-18

摘要/Abstract

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.

中图分类号:

O175.29

刘响林;陈庆辉;张保才. ON GAUGE EQUIVALENT INTEGRABLE SYSTEMS AND r-MATRICES FOR AKNS HIERARCHY AND A COUPLED MKdV HIERARCHY[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(7): 863-870.

LIU Xiang-lin;CHEN Qing-hui;ZHANG Bao-cai . ON GAUGE EQUIVALENT INTEGRABLE SYSTEMS AND r-MATRICES FOR AKNS HIERARCHY AND A COUPLED MKdV HIERARCHY[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(7): 863-870.

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

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

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