Burgers-Fisher方程的精确解  

Exact solutions for the Burgers-Fisher equation

作　　者：于义[1] 

机构地区：[1]抚顺师范高等专科学校初等教育系,辽宁抚顺113001

出　　处：《佛山科学技术学院学报（自然科学版）》2014年第3期15-17,共3页Journal of Foshan University(Natural Science Edition)

摘　　要：以计算机代数系统软件Maple为工具,提出了用G′/G-展开法来构造非线性演化方程的行波解。为了验证方法的有效性和优越性,将其应用到Burgers-Fisher方程,获得了具有一般形式的新的精确解,其中包括新的双曲函数解以及三角函数解。In this paper, the G＇/G-expanmon method is improved to construct travelling wave solutions of nonlinear evolution equalions with the tools of transformation and computer algebraic system Maple. In order to illustrate the effectiveness and advantages of the method, the author applies it to the Burgers-Fisher equation. Many new and general formal exact solutions are obtained including the hyperbolic function solutions and trigonometric function solutions.

关 键 词：孤子方程 精确解 G'G-展开法 

分 类 号：O29[理学—应用数学]