AIMS Mathematics (Apr 2022)

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

DOI
https://doi.org/10.3934/math.2022682
Journal volume & issue
Vol. 7, no. 7
pp. 12289 – 12302

Abstract

Read online

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.

Keywords