Benjamin方程新的显式行波解  

New explicit and travelling wave solutions for a class Benjamin equations

作　　者：郭冠平[1] 

机构地区：[1]浙江师范大学教育科学与技术学院,浙江金华321004

出　　处：《云南师范大学学报（自然科学版）》2002年第2期1-3,共3页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：利用双曲函数方法 ,求解了 Benjamin方程的显式行波解 ,得到了若干其它方法不曾给出的新精确解。这种方法的基本原理是利用非线性波方程孤立波解的局部特点 ,将方程的孤立波解表示为双曲函数的多项式 。The hyperbolic function method has been used to study new travelling wave solutions for Benjamin equation u tt +q(u 2) xx +γu xxxx =0 . The basic idea of this method is based on the fact that solitary wave solution of the nonlinear evolution equations are essentially of a localized property. Because the travelling wave solution can be assumed the polynomial form of the hyperbolic functions, the resultant solutions are obtained by solving a system of nonlinear algebraic equations.

关 键 词：双曲函数方法 非线性波动方程 BENJAMIN方程 显式行波解 孤立波解 消元法 

分 类 号：O175.29[理学—数学] O241.82[理学—基础数学]