摘要
运用平面动力系统理论、分支理论和直接方法研究浅水长波近似方程,证明该方程存在光滑孤立波解、扭结波解、反扭结波解及无穷多光滑周期波解.并在不同的参数条件下,给出光滑孤立波解、扭结波解、反扭结波解和光滑周期波解存在的各类充分条件,求出了上述一些有界的显式精确行波解.
The theory of planar dynamical systems, bifurcation and the direct method are employed to investigate the shallow long wave approximate equations. The existence of smooth solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions are proved. Under different parametric conditions, various sufficient conditions are given to guarantee the existence of solitary wave solutions and periodic wave solutions. Furthermore, the exact explicit expressions of these bounded traveling waves are obtained.
出处
《扬州大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第2期21-25,共5页
Journal of Yangzhou University：Natural Science Edition
基金
广西省教育厅科研基金资助项目(200707MS004)
关键词
孤立波解
扭结波解
反扭结波解
周期波解
浅水长波近似方程
solitary tion
shallow long wave solution
kink wave solution
anti-kink wave solution
periodic wave solu wave approximate equations
