摘要
本文利用推广的Tanh函数展开法、函数展开法和指数函数展开法讨论了（2+1）维Bogoyavlenskii’s广义破裂孤子方程，得到了方程的一些精确行波解.这些解的形式可分为四类：三角函数解、双曲函数解、指数函数解以及有理数解.利用数学软件Mathematica对这些精确行波解进行了图像模拟.
关键词：Bogoyavlenskii’s方程；精确行波解；推广的Tanh函数法；函数法；指数函数法.
ABSTRACT
In this paper, the general Tanh-function method, expansion method and exponential expansion method are used to discuss Bogoyavlenskii 's general breaking soliton equation. Some exact traveling solutions are obtained, which include trigonometric functions solutions, hyperbolic function solutions, exponential solutions and rational function solutions. The simulated images of them are obtained
by Mathematica.
Keywords: Bogoyavlenskii 's general breaking soliton equation; Exact travelling wave solutions ; general Tanh function method; expansion method; Exponential expansion method.
目录
摘要
ABSTRACT
第一章 引言
第二章 利用函数展开法求解Bogoyavlenskii’s方程的精确行波解
2.1 推广的Tanh函数展开法
2.2 函数展开法
2.3 指数函数展开法
小结
参考文献
致谢
