摘要
通过利用新的G展开法,并借助Mathematica计算软件,研究了一类五阶非线性波方程的精确解,获得了方程的含有多个任意参数的新的显式行波解,分别为三角函数解、双曲函数解、指数函数解,扩大了该类方程的解的范围.
A class of fifth-order nonlinear wave equations is studied by the new G-expansion method with the aid of computer symbolic systems Mathematica. As a result, some new exact solutions which involving parameters are obtained, these solutions contain the hyperbolic function solutions, the trigonometric function solutions and the exponential function solutions. The solutions of the fifth-order nonlinear wave equations have been enriched.
作者
王鑫
邢文雅
李胜军
WANG Xin;XING Wen-ya;LI Sheng-jun(College of Information Science and Technology,Hainan University,Haikou 570228,China)
出处
《数学的实践与认识》
北大核心
2019年第2期234-240,共7页
Mathematics in Practice and Theory
基金
海南省自然科学基金(117066)
国家自然科学基金(11601109)
关键词
五阶非线性波方程
新的G展开法
精确解
fifth-order nonlinear wave equation
new G-expansion method
exact solutions
