(2 + 1)维色散的长波方程的新精确解  

New Exact Solutions for (2 + 1)-Dimensional Dispersive Long Wave Equation

作　　者：傅海明[1] Haiming Fu(Department of Basic Courses, Guangzhou Hua Xia Vocational College, Guangzhou Guangdong)

机构地区：[1]广州华夏职业学院基础部,广东广州

出　　处：《理论数学》2018年第6期589-595,共7页Pure Mathematics

基　　金：广东省教育厅特色创新类项目(2017GKTSCX111)。

摘　　要：利用一种基于符号计算的代数方法,结合Maple环境中的Epsilon软件包,求解(2 + 1)维色散的长波方程,获得了若干其它方法不曾给出的形式更为丰富的新的显式行波解,其中包括孤波解、三角函数解、双曲函数解。The algebraic method, based on the symbolic computation, has been applied to study new traveling wave solutions for (2 + 1)-dimensional dispersive long wave equations by means of Epsilon package in Maple. More new explicit travelling wave solutions are obtained, which contain solitons, hyperbola function solutions and triangular periodic solutions.

关 键 词：(2 + 1)维色散的长波方程 F-展开法 三角函数解 双曲函数解 

分 类 号：O1[理学—数学]