Dispersive optical soliton solutions for the hyperbolic and cubic-quintic nonlinear Schrödinger equations via the extended sinh-Gordon equation expansion method

AR Seadawy, D Kumar… - The European Physical …, 2018 - epjplus.epj.org
The (2+ 1)-dimensional hyperbolic and cubic-quintic nonlinear Schrödinger equations
describe the propagation of ultra-short pulses in optical fibers of nonlinear media. By using …

Novel complex wave solutions of the (2+ 1)-dimensional hyperbolic nonlinear Schrödinger equation

H Durur, E Ilhan, H Bulut - Fractal and Fractional, 2020 - mdpi.com
This manuscript focuses on the application of the (m+ 1/G′)-expansion method to the (2+ 1)-
dimensional hyperbolic nonlinear Schrödinger equation. With the help of projected method …

Analytical optical pulses and bifurcation analysis for the traveling optical pulses of the hyperbolic nonlinear Schrödinger equation

A Saha, KK Ali, H Rezazadeh, Y Ghatani - Optical and Quantum …, 2021 - Springer
Analytical forms of optical pulses for the hyperbolic nonlinear Schrödinger equation are
studied by the extended tanh expansion method and another new method successfully …

Investigation of travelling wave solutions for the (3+ 1)-dimensional hyperbolic nonlinear Schrödinger equation using Riccati equation and F-expansion techniques

MR Ali, MA Khattab, SM Mabrouk - Optical and Quantum Electronics, 2023 - Springer
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 …

On short-range pulse propagation described by (2+ 1)-dimensional Schrödinger's hyperbolic equation in nonlinear optical fibers

KK Ali, AM Wazwaz, MS Mehanna, MS Osman - Physica Scripta, 2020 - iopscience.iop.org
Abstract The (2+ 1)-dimensional Schrödinger complex equations are essential physical
models that describe the short-range pulse spread in nonlinear media fiber optics. We …

Exploration of optical solitons of a hyperbolic nonlinear Schrödinger equation

S Ahmad, S Ahmad, MA Khan, A Ullah - Optical and Quantum Electronics, 2024 - Springer
The investigation of optical solitons, a subject of significant interest in fibre optics and
communications due to its importance in signal transmission and data processing, is the …

Hyperbolic (2+ 1)-dimensional Schrödinger equation: Similarity analysis, Optimal system and complexitons for the one-parameter group of rotations

V Kumar, R Jiwari, AR Djurayevich… - … in Nonlinear Science …, 2022 - Elsevier
The current study is dedicated to find the complex soliton solutions of the hyperbolic (2+ 1)-
dimensional nonlinear Schrödinger equation. In this direction we takes the help of Lie …

[HTML][HTML] Optical solutions of the (2+ 1)-dimensional hyperbolic nonlinear Schrödinger equation using two different methods

E Tala-Tebue, C Tetchoka-Manemo, H Rezazadeh… - Results in Physics, 2020 - Elsevier
Abstract This paper studies the (2+ 1)-dimensional hyperbolic nonlinear Schrödinger
equation. The first integral of this equation, the phase portraits and the effective potentials …

Soliton solutions, stability, and modulation instability of the (2+ 1)-dimensional nonlinear hyperbolic Schrödinger model

M Adel, KU Tariq, H Ahmad, SMR Kazmi - Optical and Quantum …, 2024 - Springer
Abstract In this article, the (2+ 1)-dimensional nonlinear hyperbolic Schrödinger model is
studied analytically which specifies the proliferation of optics signal in single-mode fiber …

The Whitham modulation solution of the complex modified KdV equation

S Zeng, Y Liu - Mathematics, 2023 - mdpi.com
This paper primarily concerns the Whitham modulation equation of the complex modified
Korteweg–de Vries (cmKdV) equation with a step-like initial value. By utilizing the Lax pair …