摘要
为研究对称正则长波(SRLW)方程,采用Fan子方程法并借助Maple软件得到了该方程丰富的行波解:三角函数解、双曲函数解、双周期Jacobi椭圆函数解,并给出了解的数值模拟图。结果表明,Fan子方程法对求解非线性方程是一种非常有效的工具。
To study the symmetric regularized long wave equation,the Fan sub-equation method is used to investigate the ex-act wave solutions by Maple.As a result,some exact travelling wave solutions of the symmetric regularized long wave equa-tion are obtained,which include triangular function solutions,hyperbolic function solutions and Jacobi elliptic function solu-tions with double periods,meanwhile the numerical simulation graphics of the solutions are given.The results show that the method is a very effective method for solving the nonlinear equations.
出处
《桂林电子科技大学学报》
2014年第1期69-73,共5页
Journal of Guilin University of Electronic Technology
基金
国家自然科学基金(11061010)
广西自然科学基金(2011GXNSFA018136)
关键词
Fan子方程法
对称正则长波方程
行波解
周期解
Fan sub-equation method
symmetric regularized long wave equation
travelling wave solution
periodic solution
