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

Mathematical and Computational Applications

Zhu, Shundong¹ 

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

DOI  :  10.3390/mca15050924

学科分类：计算数学

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY