On soliton solutions of some nonlinear Schrödinger equations


Esen H. , Seçer A.

9th (Online) International Conference on Applied Analysis and Mathematical Modeling, İstanbul, Turkey, 11 - 13 June 2021, pp.21

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.21

Abstract

Nonlinear Schrödinger equations (NLSEs) arise in diverse areas such as engineering, biological and physical sciences. The obtaining of the exact solutions for various models represented by NLSEs has also a principal role in fluid dynamics, plasma, nuclear physics, and nonlinear optics. Especially, soliton solutions from these solutions have received quite an attention from researchers. In this study, we implement the Riccati-Bernoulli Sub ODE method in reporting the exact solutions of two nonlinear physical models. Therefore, for the equations, some singular periodic waves, dark and singular optical solitons solutions are derived. It can be reported that all solutions produced in this study satisfy the equation by replacing it in the corresponding main equation. Utilizing suitable values of the parameters, some of the obtained solutions are illustrated by three-dimensional (3D) and two-dimensional (2D) graphs with the help of the MAPLE software in order to demonstrate the importance in the real-world of the presented equations.