The Extended G'/G-Expansion Method and Travelling Wave Solutions of Nonlinear Evolution Equations

Shundong Zhu

doi:10.3390/mca15050924

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Article

31 December 2010

The Extended G'/G-Expansion Method and Travelling Wave Solutions of Nonlinear Evolution Equations

College of Mathematics and Physics, Zhejiang Lishui University, Lishui 323000, PR China

Math. Comput. Appl.2010, 15(5), 924-929;https://doi.org/10.3390/mca15050924

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Abstract

In this Letter, the G’/G-expansion method [M.L. Wang, X.Z. Li, J.L. Zhang, Phys. Lett. A 372 (2008) 417] is improved and an extended G’/G -expansion method is proposed to seek the travelling wave solutions of nonlinear evolution equations. We choose the mKdV equation to illustrate the validity and advantages of the proposed method. Many new and more general solutions are obtained. Our solutions naturally include those in open literature.

Keywords:

extended G/G-expansion method; Homogeneous balance; extended symmetric form; Travelling wave solutions; Solitary wave solutions; KdV equation

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