高阶色散水波方程的对合解(英文)  

The Involution Solution of Higher Order DispersiveWater Waves Equation

作　　者：查中伟[1] 

机构地区：[1]重庆三峡学院,重庆万州404000

出　　处：《四川大学学报（自然科学版）》2005年第2期213-218,共6页Journal of Sichuan University(Natural Science Edition)

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.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.

关 键 词：色散水波方程 Liouville完全可积系统 对合解 

分 类 号：O175.29[理学—数学]