Solitary wave solutions of chiral nonlinear Schrödinger equations


ESEN H. , Ozdemir N. , SEÇER A. , Bayram M. , Sulaiman T. A. , Yusuf A.

Modern Physics Letters B, vol.35, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35
  • Publication Date: 2021
  • Doi Number: 10.1142/s0217984921504728
  • Title of Journal : Modern Physics Letters B
  • Keywords: Riccati-Bernoulli sub-ODE method, chiral nonlinear Schrodinger equations, soliton solutions

Abstract

© 2021 World Scientific Publishing Company.This paper presents the (1+1)-dimensional chiral nonlinear Schrödinger equation (1DCNLSE) and (2+1)-dimensional chiral nonlinear Schrödinger equation (2DCNLSE) that define the edge states of the fractional quantum hall effect. In this paper, we implement the Riccati-Bernoulli sub-ODE method in reporting the solutions of these two nonlinear physical models. As a result of this, some singular periodic waves, dark and singular optical soliton solutions are generated for these models. Some of the acquired solutions are illustrated by three-dimensional (3D) and two-dimensional (2D) graphs utilizing suitable values of the parameters with the help of the MAPLE software to demonstrate the importance in the real-world of the presented equations.