New solutions for perturbed chiral nonlinear Schrödinger equation

E. S. Aly; Mahmoud A. E. Abdelrahman; S. Bourazza; Abdullah Ali H. Ahmadini; Ahmed Hussein Msmali; Nadia A. Askar; E. S. Aly; Mahmoud A. E. Abdelrahman; S. Bourazza; Abdullah Ali H. Ahmadini; Ahmed Hussein Msmali; Nadia A. Askar

doi:10.3934/math.2022682

AIMS Mathematics

2022, Volume 7, Issue 7: 12289-12302. doi: 10.3934/math.2022682

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Research article

New solutions for perturbed chiral nonlinear Schrödinger equation

1.
Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia
2.
Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
3.
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt

Received: 24 February 2022 Revised: 02 April 2022 Accepted: 14 April 2022 Published: 25 April 2022
MSC : 35C07, 35Q40, 35Q55, 60H15, 81Q15

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$ [-\varphi(\xi)] $-expansion and unified solver methods. The PCNLSE meditate on the quantum behaviour, like quantum features are closely related to its particular features. The proposed techniques introduce the closed form structure of waves in explicit form. The behaviour of the gained solutions are of qualitatively different nature, based on the physical parameters. The acquired solutions are extremely viable in nonlinear optics, superfluid, plasma physics, electromagnetism, nuclear physics, industrial studies and in many other applied sciences. We also illustrate the profile pictures of some acquired solutions to show the physical dynamical representation of them, utilizing Matlab release. The proposed techniques in this article can be implemented to other complex equations arising in applied sciences.
- PCNLSE,
- exp$ [-\varphi(\xi)] $-expansion technique,
- unified solver technique,
- physical applications
Citation: E. S. Aly, Mahmoud A. E. Abdelrahman, S. Bourazza, Abdullah Ali H. Ahmadini, Ahmed Hussein Msmali, Nadia A. Askar. New solutions for perturbed chiral nonlinear Schrödinger equation[J]. AIMS Mathematics, 2022, 7(7): 12289-12302. doi: 10.3934/math.2022682

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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$ [-\varphi(\xi)] $-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.

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