摘要
运用平面动力系统理论、分支理论和直接方法,研究了Whitham-Broer-Kaup方程,证明该方程存在光滑孤立波解、扭结波和反扭结波解和无穷多光滑周期波解。并在不同的参数条件下,给出了光滑孤立波解、扭结波和反扭结波解和光滑周期波解存在的各类充分条件,并求出了上述所有的显示精确行波解。
Firstly, the Whitham-Broer-Kaup system has been studied in light of the theory of dynamical systems, the theory of bifurcation, and the direct method. The existence of smooth solitary wave solutions, kink and anti- kink wave solutions and periodic wave solutions has then proved. Conditions sufficient for the existence of solitary wave solutions and kink and anti-kink wave solutions and periodic wave solutions under different parameters have also been given. All exact explicit formula of the above solutions are finally listed.
出处
《桂林电子科技大学学报》
2007年第2期123-127,共5页
Journal of Guilin University of Electronic Technology
基金
广西科学基金资助项目(0575092)
