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Research Article | Open Access

New solutions for perturbed chiral nonlinear Schrödinger equation

E. S. Aly1( )Mahmoud A. E. Abdelrahman2,3( )S. Bourazza1Abdullah Ali H. Ahmadini1Ahmed Hussein Msmali1Nadia A. Askar1
Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia
Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
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Abstract

In this article, we extract stochastic solutions for the perturbed chiral nonlinear Schrödinger equation (PCNLSE) forced by multiplicative noise in Itô sense with the aid of exp [ φ ( ξ ) ]-expansion and unified solver methods. The PCNLSE meditate on the quantum behaviour, like quantum features are closely related to its particular features. The proposed techniques introduce the closed form structure of waves in explicit form. The behaviour of the gained solutions are of qualitatively different nature, based on the physical parameters. The acquired solutions are extremely viable in nonlinear optics, superfluid, plasma physics, electromagnetism, nuclear physics, industrial studies and in many other applied sciences. We also illustrate the profile pictures of some acquired solutions to show the physical dynamical representation of them, utilizing Matlab release. The proposed techniques in this article can be implemented to other complex equations arising in applied sciences.

CLC number: 35C07, 35Q40, 35Q55, 60H15, 81Q15

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AIMS Mathematics
Pages 12289-12302

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Cite this article:
Aly ES, Abdelrahman MAE, Bourazza S, et al. New solutions for perturbed chiral nonlinear Schrödinger equation. AIMS Mathematics, 2022, 7(7): 12289-12302. https://doi.org/10.3934/math.2022682

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Received: 24 February 2022
Revised: 02 April 2022
Accepted: 14 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)