对称正则长波方程的精确行波解  

Exact travelling wave solutions for symmetric regularized long wave equation

作　　者：程源泉 冯大河[1] 余晶晶[1] 贾荣[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

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)

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.

关 键 词：Fan子方程法 对称正则长波方程 行波解 周期解 

分 类 号：O175.1[理学—数学]