对称正则长波方程的精确行波解

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.