Loading...

The novel soliton solutions for the conformable perturbed nonlinear Schrödinger equation

Yépez-Martínez, H ; Sharif University of Technology | 2022

58 Viewed
  1. Type of Document: Article
  2. DOI: 10.1142/S0217984921505977
  3. Publisher: World Scientific , 2022
  4. Abstract:
  5. The sub-equation method is implemented to construct exact solutions for the conformable perturbed nonlinear Schrödinger equation. In this paper, we consider three different types of nonlinear perturbations: The quadratic-cubic law, the quadratic-quartic-quintic law, and the cubic-quintic-septic law. The properties of the conformable derivative are discussed and applied with the help of a suitable wave transform that converts the governing model to a nonlinear ordinary differential equation. Furthermore, the order of the expected polynomial-type solution is obtained using the homogeneous balancing approach. Dark and singular soliton solutions are derived. © 2022 World Scientific Publishing Company
  6. Keywords:
  7. Conformable derivative ; Cubic-quintic-septic law ; Perturbed nonlinear Schrödinger equation ; Quadratic-cubic law ; Quadratic-quartic-quintic law ; Sub-equation method
  8. Source: Modern Physics Letters B ; Volume 36, Issue 8 , 2022 ; 02179849 (ISSN)
  9. URL: https://www.worldscientific.com/doi/10.1142/S0217984921505977