Exact solutions of the Drinfel’d–Sokolov–Wilson equation using Bäcklund transformation of Riccati equation and trial function approach

Pramana

MIRZAZADEH M¹  ESLAMI M³  ARNOUS A H1² 

[1] Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran$$;Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Egypt$$;Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran$$

关键词: Nonlinear evolution equations;    exact solution;    the Bäcklund transformation of Riccati equation;    trial function approach.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, two integration schemes are employed to obtain solitons, singular periodic waves and other types of solutions of the Drinfel’d–Sokolov–Wilson equation. The two schemes studied in this paper are the Bäcklund transformation of Riccati equation and the trial function approach. The corresponding constraint conditions of the solutions are also given.

【 授权许可】

Unknown