摘要
为了进一步研究Pochhammer-Chree方程孤立波解的特性,考虑了Pochhammer-Chree方程广义形式的孤立波解的存在性.运用双曲函数法和指数函数法求出广义Pochhammer-Chree方程的孤立波解,并给出此方程多个新的显式精确孤立波解,表明广义Pochhammer-Chree方程的孤立波解是存在的,也说明双曲函数法和指数函数法是求方程孤立波解的有效工具.
The generalized Pochhammer-Chree equation is investigated to further study the characteristic of solilary wave solutions for the Pochhammer-Chree equation solitary wave. Some new explicit precise solitary wave solutions were obtained by means of the hyerbolic functions method and the exponential functions method. It is indicated that solitary ware solutions of the generalized Pochhammer-Chree equation were the existent, and the hyperbolic function method and the exponential function method were reliabe and effective for soluing some nonlinear partial differential equations.
出处
《内江师范学院学报》
2008年第8期19-21,共3页
Journal of Neijiang Normal University
关键词
广义PC方程
孤立波解
非线性偏微分方程
the generalized pochhammer-chree equation
solitary wave solution
non-linear partial differential equation
