| 高阶色散水波方程的对合解 |
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| 引用本文： | 查中伟.高阶色散水波方程的对合解[J].四川大学学报(自然科学版),2005,42(2):213-218. |
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| 作者姓名： | 查中伟 |
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| 作者单位： | 重庆三峡学院,重庆万州,404000 |
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| 摘 要： | 讨论了高阶色散水波方程的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．从而获得了高阶色散水波方程的对合解．
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| 关 键 词： | 色散水波方程 Liouville完全可积系统 对合解 |
The Involution Solution of Higher Order Dispersive Water Waves Equation |
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| ZHA Zhong-wei.The Involution Solution of Higher Order Dispersive Water Waves Equation[J].Journal of Sichuan University (Natural Science Edition),2005,42(2):213-218. |
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| Authors: | ZHA Zhong-wei |
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| Abstract: | It is discussed the Lax pair of higher order dispersive water waves 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 representation for solutions of higher order dispersive water wavers equation are obtained. |
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| Keywords: | dispersive water wavers equation Liouville completely integrable system involution solution |
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