| publication name | Investigation of travelling wave solutions for the (3 + 1)‑dimensional hyperbolic nonlinear Schrödinger equation using Riccati equation and F‑expansion techniques |
|---|---|
| Authors | Mahmoud A. Khattab; Mohamed R. Ali; 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 | 55 |
| issue | 11 |
| pages | 991 |
| publisher | Springer US |
| Local/International | International |
| Paper Link | https://link.springer.com/article/10.1007/s11082-023-05236-3 |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
The (3 + 1)-dimensional hyperbolic nonlinear Schrödinger equation (HNLS) is used as a model for different physical phenomena such as the propagation of electromagnetic fields, the dynamics of optical soliton promulgation, and the evolution of the water wave surface. In this paper, new and different 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 different and expressed by dark, bright, singular, and periodic solutions. The physical explanations for the obtained solutions are examined by a graphical representation in 3d profile plots.