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一种广义的(G′/G)-展开法及其应用(英文)

A Generalized(G′/G)-Expansion Method and Its Applications
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摘要 提出了一种广义的(G′/G)-展开法,利用该方法可以得到非线性发展方程的更多不同种类的精确行波解.利用广义的(G′/G)-展开法得到了耦合KdV方程和广义KdV-mKdV组合方程的行波解. A generalization of the (G/G)- expansion method is proposed which results more different types of exact travelling wave solutions to nonlinear evo- lution equations. As applications, the exact travelling wave solutions to the coupled KdV equation and the generalized compound KdV-mKdV equation are obtained by using the generalized method.
出处 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第1期12-20,共9页 Journal of Inner Mongolia University:Natural Science Edition
基金 The Special Foundation of Doctoral Unit of the Ministry of Education of China(No.20070128001) Scientific Research Innovation Project of Shanghai Education Committee(No.09YZ239) Scientific Research Foundation of Inner Mongolia University of Technology(No.ZS201033)~~
关键词 广义的(G’/G)展开法 行波解 耦合KDV方程 广义KdV-mKdV组合方程 generalized (G'/G)- expansion method travelling wave solutions coupled KdV equation generalized compound KdV-mKdV equation
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