| 一个有限维完全可积系统和MDWW方程解的对合表示 |
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| 引用本文： | 查中伟,牟卫华.一个有限维完全可积系统和MDWW方程解的对合表示[J].应用数学,1996,9(1):15-22. |
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| 作者姓名： | 查中伟 牟卫华 |
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| 作者单位： | 葛洲坝水电工程学院，石家庄铁道学院 |
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| 摘 要： | 本文讨论高阶ＭＤＷＷ方程的Ｌａｘ对，在位势与特征函数之间的约束条件下，Ｌａｘ系统被非线性化成为有限维Ｌｉｏｕｖｉｌｌｅ完全可积系统．并且获得了高阶ＭＤＷＷ方程解的对合表示．
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| 关 键 词： | 有限维完全可积系统 MDWW方程 对合表示 |
A Finite Dimentional Completely Integrable System and The Involutive Representation of Solutions of MDWW Equation |
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| Zha Zhongwei.A Finite Dimentional Completely Integrable System and The Involutive Representation of Solutions of MDWW Equation[J].Mathematica Applicata,1996,9(1):15-22. |
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| Authors: | Zha Zhongwei |
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| Abstract: | This paper deals with the Lax pair of higher order MDWW equation. Under the constraints between Potentials and eigenfunctions,the Lax systems are nonlinearized to be finite-dimensional Completely integrable systems in Liouville sense. The involutive reptesentation of solutions of higher order MDWW equation are obtained too. |
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| Keywords: | Finite-dimensional completely integrable system MDWW equation Involutive representation |
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