关于AKNS族和一个耦合的MKdV族的规范等价可积系统与r-矩阵  

On Gauge Equivalent Integrable Systems and r-matrices for AKNS Hierarchy and A Coupled MKdV Hierarchy

作　　者：刘响林[1] 陈庆辉[1] 张保才[1] 

机构地区：[1]石家庄铁道学院数理系,石家庄050043

出　　处：《应用数学和力学》2003年第7期764-770,共7页Applied Mathematics and Mechanics

摘　　要：　得到了一个新的耦合的MKdV族·　通过规范变换,首次从AKNS族中得到耦合的MKdV族的Lax表示、可积系与约束流;利用Lax表示,构造了耦合MKdV族的约束流的r＿矩阵。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.

关 键 词：规范等价 γ-矩阵 可积系统 

分 类 号：O175.29[理学—数学]