Mahmoud Attiya Mahmoud Ibrahim Khattab
Lecturer
Investigation of travelling wave solutions for the (3 + 1)‑dimensional hyperbolic nonlinear Schrödinger equation using Riccati equation and F‑expansion techniques
Optical and Quantum Electronics • 2023
Publication Information
Authors
Mahmoud A. Khattab; Mohamed R. Ali; S. M. Mabrouk
Keywords
Travelling wave solutions; Solitons; Hyperbolic non-linear Schrödinger
equations; Riccati equation method; F-expansion principle
Journal
Optical and Quantum Electronics
Publisher
Springer US
Volume
55
Issue
11
Pages
991
publication.type
International
Paper Link
Open Link
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.
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.