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.
出处
《河南理工大学学报（自然科学版）》
CAS
北大核心
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)
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
an extension of the hyperbolic tangent function method
（2 ＋ 1 ） -dimensional burgers equation
exact solution
soliton solution
clock shape solution
periodic solution
