修正的Kawahara方程的精确行波解

摘要

To study the modified Kawahara equation with fifth-order nonlinear terms,the Fan sub-equation method is used to investigate the exact wave solutions with the aid of Maple.As a result,hyperbolic function solutions,triangular wave solutions and double periodic Jacobi elliptic function solutions are obtained and the numerical simulation graphics of these solutions are given.The simulation results show that the Fan sub-equation method is a powerful and effective mathematical tool for solving nonlinear evolution equations.%为研究具有五阶非线性项的修正的Kawahara方程,借助符号计算软件Maple,采用Fan子方程法获得了该方程的双曲函数解、三角函数解及双周期Jacobi椭圆函数解,并给出了解的数值模拟图形.结果表明,Fan子方程法对于求解各种非线性发展方程的精确解是一个强大而有效的数学工具.