发展方程族Lax表示的广义结构<sup>*</sup>

乔志军

发展方程族Lax表示的广义结构^*

乔志军^1,2

1.
辽宁大学, 沈阳 110036;
2.
复旦大学数学研究所, 上海 200433

基金项目: * 国家自然科学基金

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出版历程
- 收稿日期: 1995-11-17
- 修回日期: 1996-10-05
- 刊出日期: 1997-07-15

Generalized Structure of Lax Representations for Nonlinear Evolution Equation

Qiao Zhijun^1,2

1.
Department of Mathematics,Liaoning University. Shenyang 110063;
2.
Institute of Mathematics, Fudan University, Shanghai 200433 P. R. China

摘要

摘要: 本文给出非线性发展方程族的一个生成格式(该格式包含了保谱族与非保谱族作为其两个特殊情况),并提供该格式下发展方程族Lax表示的广义结构.最后,作为应用,我们讨论了Levi族发展方程.
- 生成格式 /
- 广义结构 /
- Levi族
Abstract: A new production form for a hierarchy of nonlinear evolution equations (NLEEs)is given in this paper. The form contains productions of isospectral and non-isospectral hierarchy. Under this form a generalized structure of Lax representations for the hierarchy of NLEEs is thus presented. As a concrete example. the Levi-hierarchy of evolution equations are discussed at the end of this paper.
- production form /
- generalized structure /
- Levi hierarchy

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参考文献(17)

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