摘要
研究一类浅水波方程即广义强色散DGH方程,通过转化为双线性形式,得到了双Ham ilton结构和一些守恒量.通过7种拟设得到了该方程丰富的精确解:紧孤立波解(compacton),多重紧孤立波解,光滑孤立波解,尖峰孤立波解(peakon),移动尖峰孤立波解,周期解等,特别是得到了一类新型孤立波解即具有尖点或者奇异点的双孤立波解.
One type of shallow water equations, namely, generalized DGH equation with strong dispersive term is introduced. By double linear formation, double Hamilton structure and some conservation laws are obtained. By using seven anaszs, abundant solutions including compacton, smooth solitary solution, peakon, diaplacement peakon and periodic solution are obtained. Particularly the double solitary wave solution with peakon double singular solitary wave solution is obtained.
出处
《江苏大学学报（自然科学版）》
EI
CAS
北大核心
2006年第3期279-282,共4页
Journal of Jiangsu University：Natural Science Edition
基金
国家自然科学基金资助项目(10071033)
