双约束孤立子流的可积形变  

Integrable Deformations of Binary Constrained Soliton Flows

作　　者：周汝光[1] 马文秀 王进利[1] 

机构地区：[1]徐州师范大学数学科学学院 [2]Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620-5700,USA

出　　处：《数学年刊（A辑）》2011年第2期161-172,共12页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.10871165)资助的项目

摘　　要：提出了基于Lax矩阵的构造双约束孤立子流的可积形变的新方法.作为应用,导出了双约束KdV流和双约束mKdV流的可积形变,并给出了这些形变的Lax表示、r-矩阵和守恒积分.A direct method is presented for constructing integrable deformations of binary constrained soliton flows in the framework of Lax formulation. The integrable deformations of the binary constrained Korteweg de Vries flows and the binary constrained modified Korteweg de Vries flow are computed explicitly, together with their Lax representations, r matrix and conserved integrals.

关 键 词：可积形变 双约束孤立子流 Neumann-Rosochatius系统 Wojciechowski系统 LAX表示 

分 类 号：O175.5[理学—数学]