Classes of solitary solution for nonlinear Schrödinger equation arising in optical fibers and their stability analysis

S Ibrahim, D Baleanu - Optical and Quantum Electronics, 2023 - Springer
In this work, we realised the soliton solutions of nonlinear Schrödinger equation (NLSE) that
arise from optical fibers, we considered the modified Sardar sub-equation method (MSSEM) …

Realization of optical solitons from nonlinear Schrödinger equation using modified Sardar sub-equation technique

S Ibrahim, AM Ashir, YA Sabawi, D Baleanu - Optical and Quantum …, 2023 - Springer
This study presents a novel modification of the Sardar sub-equation method for solving the
nonlinear SchrÖdinger equation (NLSE) with second order spatiotemporal dispersion and …

New solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity

H Rezazadeh - Optik, 2018 - Elsevier
In this paper, we find new solitons solutions of the complex Ginzburg-Landau equation with
Kerr law nonlinearity according to the new extended direct algebraic method. When …

Modulation instability analysis, optical and other solutions to the modified nonlinear Schrödinger equation

M Younis, TA Sulaiman, M Bilal… - Communications in …, 2020 - iopscience.iop.org
This paper studies the new families of exact traveling wave solutions with the modified
nonlinear Schrödinger equation, which models the propagation of rogue waves in ocean …

Analytic study on interactions between periodic solitons with controllable parameters

X Liu, H Triki, Q Zhou, W Liu, A Biswas - Nonlinear Dynamics, 2018 - Springer
Soliton interactions occur when two solitons are close enough. In general, periodic
oscillations can be presented during soliton interactions. The periodic oscillations will lead …

Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics

AA Mamun, SN Ananna, T An, NHM Shahen… - Heliyon, 2021 - cell.com
In this current study, we described a modified extended tanh-function (mETF) method to find
the new and efficient exact travelling and solitary wave solutions to the modified Liouville …

New exact traveling wave solutions of biological population model via the extended rational sinh-cosh method and the modified Khater method

H Rezazadeh, A Korkmaz, MMA Khater… - … Physics Letters B, 2019 - World Scientific
In this paper, the extended rational sinh-cosh method (ERSCM) and modified Khater method
are applied to the biological population model to derive new exact solutions. Moreover, the …

A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics

M Kaplan, A Bekir, A Akbulut - Nonlinear Dynamics, 2016 - Springer
Nonlinear evolution equations form the most fundamental theme in mathematical physics.
The search for exact solutions of nonlinear equations has been of interest in recent years. In …

[HTML][HTML] Properties of some higher-dimensional nonlinear Schrödinger equations

KS Nisar, IE Inan, M İnç, H Rezazadeh - Results in Physics, 2021 - Elsevier
In this study, we have used the sub-equation method to provide some analytic solutions of
the (2+ 1) and (3+ 1) dimensional nonlinear Schrödinger equations (NLSEs). We obtained …

[PDF][PDF] The effect of multiplicative noise on the exact solutions of nonlinear Schrödinger equation

MAE Abdelrahman, WW Mohammed, M Alesemi… - AIMS Math, 2021 - aimspress.com
We consider in this paper the stochastic nonlinear Schrödinger equation forced by
multiplicative noise in the Itô sense. We use two different methods as sine-cosine method …