Novel traveling wave solutions and stability analysis of perturbed Kaup-Newell Schrödinger dynamical model and its applications

doi:10.1088/1674-1056/abbbfc

Abstract We study the traveling wave and other solutions of the perturbed Kaup-Newell Schrödinger dynamical equation that signifies long waves parallel to the magnetic field. The wave solutions such as bright-dark (solitons), solitary waves, periodic and other wave solutions of the perturbed Kaup-Newell Schrödinger equation in mathematical physics are achieved by utilizing two mathematical techniques, namely, the extended F-expansion technique and the proposed exp$(-\phi(\xi))$-expansion technique. This dynamical model describes propagation of pluses in optical fibers and can be observed as a special case of the generalized higher order nonlinear Schrödinger equation. In engineering and applied physics, these wave results have key applications. Graphically, the structures of some solutions are presented by giving specific values to parameters. By using modulation instability analysis, the stability of the model is tested, which shows that the model is stable and the solutions are exact. These techniques can be fruitfully employed to further sculpt models that arise in mathematical physics.

Keywords: extended F-expansion method generalized $\exp(-\phi(\xi))$-expansion technique perturbed Kaup-Newell Schrödinger equation traveling wave solutions

Received: 28 July 2020
Revised: 02 September 2020
Accepted manuscript online: 28 September 2020

PACS:	02.30.Jr	(Partial differential equations)
	02.70.Wz	(Symbolic computation (computer algebra))
	04.20.Jb	(Exact solutions)
	03.67.-a	(Quantum information)

Fund: Project supported by the China Post-doctoral Science Foundation (Grant No. 2019M651715).

Corresponding Authors: ^†Corresponding author. E-mail: marshad@ujs.edu.cn; muhammad.arshad18@yahoo.com

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Xiaoyong Qian(钱骁勇), Dianchen Lu(卢殿臣), Muhammad Arshad, and Khurrem Shehzad Novel traveling wave solutions and stability analysis of perturbed Kaup-Newell Schrödinger dynamical model and its applications 2021 Chin. Phys. B 30 020201

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Novel traveling wave solutions and stability analysis of perturbed Kaup-Newell Schrödinger dynamical model and its applications

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