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 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35
  • Publication Date: 2021
  • Doi Number: 10.1142/s0217984921504728
  • Journal Name: Modern Physics Letters B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Keywords: Riccati-Bernoulli sub-ODE method, chiral nonlinear Schrodinger equations, soliton solutions
  • Yıldız Technical University Affiliated: Yes

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.