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.
出处
《应用数学和力学》
EI
CSCD
北大核心
2003年第7期764-770,共7页
Applied Mathematics and Mechanics
关键词
规范等价
γ-矩阵
可积系统
gauge equivalence
r-matrix
integrable system
