Bilinearization and new multisoliton solutions for the (4+1)-dimensional Fokas equation

Pramana

ZHANG SHENG1¹  QIAN WEI-YI¹  TIAN CHI¹ 

[1] School of Mathematics and Physics, Bohai University, Jinzhou 121013, People’s Republic of China$$

关键词: Bilinearization;    multisoliton solution;    Fokas equation;    Hirota’s bilinear method.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The (4+1)-dimensional Fokas equation is derived in the process of extending the integrable Kadomtsev–Petviashvili and Davey–Stewartson equations to higher-dimensional nonlinear wave equations. This equation is under investigation in this paper. Hirota’s bilinear method is, for the first time, used to solve such a higher-dimensional equation. In order to bilinearize the Fokas equation, some appropriate transformations are adopted. As a result, single-soliton solution,double-soliton solution and three-soliton solution are obtained. A new uniform formula of n-soliton solution is derived from this. It is shown that the transformations adopted in this work play a key role in converting the Fokas equation into Hirota’s bilinear form.

【 授权许可】

Unknown