Tu方程族的高阶双约束流的分离变量(英文)  

Separation of Variables for Higher-order Binary Constrained Flows of the Tt Hierarchy

作　　者：曾云波[1] 曹昕[1] 

机构地区：[1]清华大学数学科学系

出　　处：《数学进展》2002年第2期135-147,共13页Advances in Mathematics（China）

基　　金：the National Basic Research Project "Nonlinear Science

摘　　要：本文给出了 Ｔｕ方程族的高阶双约束流，其自由度为 ＺＮ＋ｌ．根据通常的办法，利用 Ｌａｘ矩阵仅能引入Ｎ＋ｌ对标难分离变量和Ｎ＋ｌ个分离变量方程．本文构造出另外Ｎ对分离变量及Ｎ个分离变量方程．此外，还建立了双约束流和Ｔｕ方程族的Ｊａｃｏｂｉ反演问题．Higher-order binary constrained flows of the Tu hierarchy are constructed. They have 2N +l degrees of freedom. For their separation of variables only N +l pairs of canonical separated variables can be introduced via their Lax matrices by using the normal method. We construct additional N pairs of canonical separated variables and N additional separated equations for the binary constrained flows of the Tu hierarchy. Furthermore, the Jacobi inversion problems for the binary constrained flows and for the Tu hierarchy are established.

关 键 词：Tu方程族 高阶 分离变量 双约束流 Jacobi反演问题 LAX表示 Lax矩阵 

分 类 号：O186.1[理学—数学]