一类五阶非线性波方程的新精确解  

New Exact Solutions for a Class of Fifth-Order Nonlinear Wave Equations

作　　者：王鑫[1] 邢文雅[1] 李胜军[1] WANG Xin;XING Wen-ya;LI Sheng-jun(College of Information Science and Technology,Hainan University,Haikou 570228,China)

机构地区：[1]海南大学信息科学技术学院,海南海口570228

出　　处：《数学的实践与认识》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)

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.

关 键 词：五阶非线性波方程 新的G展开法 精确解 

分 类 号：O175.29[理学—数学]