| 发展方程族Lax表示的广义结构* |
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| 引用本文： | 乔志军.发展方程族Lax表示的广义结构*[J].应用数学和力学,1997,18(7):625-630. |
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| 作者姓名： | 乔志军 |
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| 作者单位： | 1.辽宁大学, 沈阳 110036; |
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| 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.
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| 关 键 词： | 生成格式 广义结构 Levi族 |
| 收稿时间： | 1995-11-17 |
Generalized Structure of Lax Representations for Nonlinear Evolution Equation |
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| Qiao Zhijun.Generalized Structure of Lax Representations for Nonlinear Evolution Equation[J].Applied Mathematics and Mechanics,1997,18(7):625-630. |
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| Authors: | Qiao Zhijun |
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| Institution: | 1.Department of Mathematics,Liaoning University. Shenyang 110063;2.Institute of Mathematics, Fudan University, Shanghai 200433 P. R. China |
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| 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. |
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| Keywords: | production form generalized structure Levi hierarchy |
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