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) …
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
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 …
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 …
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
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 …
nonlinear Schrödinger equation, which models the propagation of rogue waves in ocean …
Analytic study on interactions between periodic solitons with controllable parameters
Soliton interactions occur when two solitons are close enough. In general, periodic
oscillations can be presented during soliton interactions. The periodic oscillations will lead …
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
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 …
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 …
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
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 …
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
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 …
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 …
multiplicative noise in the Itô sense. We use two different methods as sine-cosine method …