推广的Tanh函数法与(2+1)维Burgers方程组新的精确行波解  

An extension of the hyperbolic tangent function method and new exact travelling wave solutions for the(2+1)-dimensional burgers equation

作　　者：刘娟[1] 

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454000

出　　处：《河南理工大学学报（自然科学版）》2012年第2期244-248,共5页Journal of Henan Polytechnic University（Natural Science）

基　　金：河南省基础与前沿研究项目(112300410120)

摘　　要：借助于符号计算软件Maple,通过一种构造非线性偏微分方程更一般形式行波解的直接方法,即推广的Tanh-函数法,求解(2+1)维Burgers方程,得到该方程新的更一般形式的行波解,包括扭状孤波解,钟状解,孤子解和周期解等,并对部分新形式孤波解画图示意.Based on an extension of the Hyperbolic Tangent Function Method,which is a direct and unified al- gebraic method for constructing more general form travelling wave solutions of nonlinear partial differential e- quations and implemented in a computer algebraic system. More general form solutions are obtained, including kind-shaped solitons, bell-shaped solitons, singular solitons and periokdic solitions. The properties of some new formal solitary wave solutions are shown by some figures.

关 键 词：推广的Tanh函数法 (2+1)维BURGERS方程 孤波解 钟状解 周期解 

分 类 号：O175.2[理学—数学]