Analytical and numerical solutions of the Schrödinger–KdV equation

Pramana

Anjan Biswas4⁴  Manel Labidi³  Essaid Zerrad¹  Ghodrat Ebadi² 

[1] Department of Physics and Pre-Engineering, Delaware State University, Dover, DE 19901-2277, USA$$;Faculty of Mathematical Sciences, University of Tabriz, Tabriz, 51666-14766, Iran$$;Laboratory of Engineering Mathematics, Tunisia Polytechnic School, University of Carthage, BP 743, La Marsa 2070, Tunisia$$;Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA$$

关键词: Solitons;    integrability;    𝐺′/𝐺 method;    variational iteration method;    homotopy perturbation method.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The Schrödinger–KdV equation with power-law nonlinearity is studied in this paper. The solitary wave ansatz method is used to carry out the integration of the equation and obtain one-soliton solution. The 𝐺′/𝐺 method is also used to integrate this equation. Subsequently, the variational iteration method and homotopy perturbation method are also applied to solve this equation. The numerical simulations are also given.

【 授权许可】

Unknown