| You are in:Home/Publications/nvestigation of travelling wave solutions for the (3 + 1)‑dimensional hyperbolic nonlinear Schrödinger equation using Riccati equation and F‑expansion techniques | |
Dr. Mohamed Reda Ali Mohamed :: Publications: |
|
| Title: | nvestigation of travelling wave solutions
for the (3 + 1)‑dimensional hyperbolic nonlinear Schrödinger
equation using Riccati equation and F‑expansion techniques |
| Authors: | Mohamed R. Ali · Mahmoud A. Khattab · S. M. Mabrouk |
| Year: | 2023 |
| Keywords: | Travelling wave solutions · Solitons · Hyperbolic non-linear Schrödinger equations · Riccati equation method · F-expansion principle |
| Journal: | Optical and Quantum Electronics |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Mohamed Reda Ali Mohamed _98.pdf |
| Supplementary materials | Not Available |
| Abstract: |
The (3 + 1)-dimensional hyperbolic nonlinear Schrödinger equation (HNLS) is used as a model for diferent physical phenomena such as the propagation of electromagnetic ields, the dynamics of optical soliton promulgation, and the evolution of the water wave surface. In this paper, new and diferent exact solutions for the (3 + 1)-dimensional HNLS equation is emerged by using two powerful methods named the Riccati equation method and the F-expansion principle. The behaviors of resulting solutions are diferent and expressed by dark, bright, singular, and periodic solutions. The physical explanations for the obtained solutions are examined by a graphical representation in 3d proile plots. |
