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, cilt.35, sa.30, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 30
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0217984921504728
  • Dergi Adı: Modern Physics Letters B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Anahtar Kelimeler: Chiral nonlinear Schrödinger equations, Riccati-Bernoulli sub-ODE method, Soliton solutions
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

© 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.