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广义RLW-KdV-BBM方程的显式精确解
引用本文:柴岩.广义RLW-KdV-BBM方程的显式精确解[J].辽宁工学院学报,2008(5):347-350.
作者姓名:柴岩
作者单位:辽宁工程技术大学理学院;
摘    要:采用两种不同的新方法,获得了广义RLW-KdV-BBM方程的若干精确解,其中包括已知的孤波解。从而作为该方程的特例,RLW方程、KdV方程、BBM方程、KdV-BBM方程和RLW-KdV方程也获得了相应的解。这两种方法也适合于求解其他非线性方程(组)。

关 键 词:广义RLW-KdV-BBM方程  行波参数法  sine-cosine法  吴文俊消元法  精确解

Explicit and Exact Solutions to Generalized RLW-KdV-BBM Equations
CHAI Yan.Explicit and Exact Solutions to Generalized RLW-KdV-BBM Equations[J].Journal of Liaoning Institute of Technology(Natural Science Edition),2008(5):347-350.
Authors:CHAI Yan
Affiliation:Theoretical Science College;Liaoning Technical University;Fuxin 123000;China
Abstract:By using two different new methods,several exact solutions to the generalized RLW-KdV-BBM equations were obtained which contained solitarywave solutions known.Therefore,as the special cases of this equation,such as RLW equation,KdV equation,BBM equation,KdV-BBM equation and RLW-KdV equation,exact corresponding solutions were found.The two methods can also be applied to finding solutions to other nonlinear equations.
Keywords:generalized RLW-KdV-BBM equation  travelling wave paremeter method  sine-cosine method  Wu-elimination method  exact solution  
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