[HTML][HTML] New solutions for the generalized resonant nonlinear Schrödinger equation

KS Nisar, KK Ali, M Inc, MS Mehanna, H Rezazadeh… - Results in Physics, 2022 - Elsevier
The resonant nonlinear Schrödinger's equation portrays the wave propagation in fiber
optics. In this work, we get new solutions using two powerful and effective analytical …

[HTML][HTML] Perturbed Gerdjikov–Ivanov equation: Soliton solutions via Backlund transformation

H Yasmin, AS Alshehry, AH Ganie, AM Mahnashi… - Optik, 2024 - Elsevier
Abstract The perturbed Gerdjikov–Ivanov (pGI) equation, a mathematical model that depicts
the behaviour of optical pulses during propagation while accounting for perturbation …

New optical soliton solutions of the perturbed Fokas-Lenells equation

MSM Shehata, H Rezazadeh… - Communications in …, 2019 - iopscience.iop.org
In this article, we employ the perturbed Fokas-Lenells equation (FLE), which represents
recent electronic communications. The Riccati-Bernoulli Sub-ODE method which does not …

New exact solutions for higher order nonlinear Schrödinger equation in optical fibers

M Eslami, A Neirameh - Optical and Quantum Electronics, 2018 - Springer
Nonlinear Schrodinger equation (NLSE) is now one of the prominent of modern physics,
mathematics and chemistry. Over these fields, the NLSE is also applied in new emerging …

Many new exact solutions to the higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms using three different techniques

EME Zayed, AG Al-Nowehy - Optik, 2017 - Elsevier
Many new types of Jacobi elliptic function solutions, solitons and other solutions to the
higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms have …

Optical soliton perturbation with quadratic-cubic nonlinearity by Riccati-Bernoulli sub-ODE method and Kudryashov's scheme

M Mirzazadeh, RT Alqahtani, A Biswas - Optik, 2017 - Elsevier
This paper obtains soliton solutions to the perturbed nonlinear Schrödinger's equation with
quadratic-cubic nonlinearity. Two integration algorithms are employed. They are Riccati …

[HTML][HTML] Novel soliton wave solutions of a special model of the nonlinear Schrödinger equations with mixed derivatives

MMA Khater, SH Alfalqi, JF Alzaidi, RAM Attia - Results in Physics, 2023 - Elsevier
In this study, the influence of the integrability requirement on nonlinear Schrödinger
equations with mixed derivatives is examined. The Rangwala–Rao (RR) equation is named …

Soliton solutions of the resonant nonlinear Schrödinger's equation in optical fibers with time-dependent coefficients by simplest equation approach

M Eslami, M Mirzazadeh, A Biswas - Journal of Modern Optics, 2013 - Taylor & Francis
In this paper, the resonant nonlinear Schrödinger's equation is studied with four forms of
nonlinearity. This equation is also considered with time-dependent coefficients. The simplest …

On exact solutions of the nonlinear Schrödinger equations in optical fiber

B Li, Y Chen - Chaos, Solitons & Fractals, 2004 - Elsevier
In this paper, with the help of symbolic computation, the projective Riccati equations method
is extended to find some new exact solutions of the nonlinear Schrödinger model with …

[HTML][HTML] On the physical nonlinear (n+ 1)-dimensional Schrödinger equation applications

HG Abdelwahed, EK El-Shewy, MAE Abdelrahman… - Results in Physics, 2021 - Elsevier
Physical exact nonlinear new solutions for the (n+ 1)-dimensional Schrödinger have been
obtained using RB sub-ODE and He's semi-inverse techniques. New structures as …