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.
出处
《数学进展》
CSCD
北大核心
2002年第2期135-147,共13页
Advances in Mathematics（China）
基金
the National Basic Research Project "Nonlinear Science
