摘要
继Abdulkadir Dogan用Galar方法求解Equal Width波方程得到一些数值解之后,我们利用动力系统分支理论再次求解了这个方程。确定了存在光滑的孤立波和周期波解的参数条件。给出了一些精确的解析行波解。同时,给出了这些行波解的动态模拟图。
After Abdulkadir Dogan solved the nonlinear Equal Width wave equation by using Galerkin's method to obtain some numerical solutions,we solve this equation completely by using the bifurcation theory of dynamical systems.The parametric conditions of the existence of smooth solitary wave and periodic wave solutions are determined.All possible exact traveling wave solutions are obtained.Meanwhile,the simulation graphs of wave motion of these waves are given.
出处
《西南民族大学学报（自然科学版）》
CAS
2006年第5期851-857,共7页
Journal of Southwest Minzu University(Natural Science Edition)
基金
国家自然科学基金(10571062)
红河学院自然科学基金(XJ1Z0502)
关键词
孤立波
周期波
波的动态模拟
Equal
Width方程
solitary wave solution
periodic wave solution
simulation of wave motion
Equal Width wave equation
