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Article

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

by
Shundong Zhu
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
Submission received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
Versions Notes

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

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MDPI and ACS Style

Zhu, S. The Extended G'/G-Expansion Method and Travelling Wave Solutions of Nonlinear Evolution Equations. Math. Comput. Appl. 2010, 15, 924-929. https://doi.org/10.3390/mca15050924

AMA Style

Zhu S. The Extended G'/G-Expansion Method and Travelling Wave Solutions of Nonlinear Evolution Equations. Mathematical and Computational Applications. 2010; 15(5):924-929. https://doi.org/10.3390/mca15050924

Chicago/Turabian Style

Zhu, Shundong. 2010. "The Extended G'/G-Expansion Method and Travelling Wave Solutions of Nonlinear Evolution Equations" Mathematical and Computational Applications 15, no. 5: 924-929. https://doi.org/10.3390/mca15050924

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