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.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第2期213-218,共6页
Journal of Sichuan University(Natural Science Edition)
关键词
色散水波方程
Liouville完全可积系统
对合解
dispersive water wavers equation
Liouville completely integrable system
involution solution
