On gauge equivalent integrable systems and r-matrices for AKNS hierarchy and a coupled MKdV hierarchy

被引：0

作者：

Liu, XL ^{[1
]}

Chen, QH ^{[1
]}

Zhang, BC ^{[1
]}

机构：

[1] Shijiazhuang Railway Inst, Dept Math & Phys, Shijiazhuang 050043, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2003年 / 24卷 / 07期

关键词：

gauge equivalence; r-matrix; integrable system;

D O I：

10.1007/bf02437819

中图分类号：

O29 [应用数学];

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.

引用

页码：863 / 870

页数：8

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