• Analytical and numerical solutions of the Schrödinger–KdV equation

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/078/01/0059-0090

• # Keywords

Solitons; integrability; $G'/G$ method; variational iteration method; homotopy perturbation method.

• # Abstract

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.

• # Author Affiliations

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

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019