发展方程族Lax表示的广义结构*
Generalized Structure of Lax Representations for Nonlinear Evolution Equation
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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.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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Key words:
- production form /
- generalized structure /
- Levi hierarchy
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