New exact solutions to the generalized KdV equation with generalized evolution

Pramana

Yongan Xie1¹  Dahe Feng¹  Shengqiang Tang¹ 

[1] School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, People’s Republic of China$$

关键词: Improved Fan subequation method;    bifurcation method;    generalized KdV equation;    soliton solution;    kink solution;    periodic solution.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, by using a transformation and an application of Fan subequation, we study a class of generalized Korteweg–de Vries (KdV) equation with generalized evolution. As a result, more types of exact solutions to the generalized KdV equation with generalized evolution are obtained, which include more general single-hump solitons, multihump solitons, kink solutions and Jacobian elliptic function solutions with double periods.

【 授权许可】

Unknown