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 …

Perturbation of optical solutions and conservation laws in the presence of a dual form of generalized nonlocal nonlinearity and Kudryashov's refractive index having …

MAS Murad - Optical and Quantum Electronics, 2024 - Springer
This paper concentrates on constructing optical soliton solutions for Kudryashov's law of
nonlinear refractive index, stemming from the dual form of nonlocal nonlinearity and the …

Effects of the higher-order dispersion on solitary waves and modulation instability in a monomode fiber

L Akinyemi, A Houwe, S Abbagari, AM Wazwaz… - Optik, 2023 - Elsevier
In this paper, we investigate the modulation instability and the dynamics of solitary waves in
a higher-order nonlinear Schrödinger equation. We use a powerful and robust method …

Optical solitons in metamaterials with third and fourth order dispersions

T Mathanaranjan, D Kumar, H Rezazadeh… - Optical and Quantum …, 2022 - Springer
The propagation of optical solitons via nonlinear metamaterials with cubic-quintic
nonlinearity, detuning intermodal dispersion, self steepening effect, and nonlinear third and …

[HTML][HTML] Analysis of Kudryashov's equation with conformable derivative via the modified Sardar sub-equation algorithm

MAS Murad, WA Faridi, M Iqbal, AH Arnous, NA Shah… - Results in Physics, 2024 - Elsevier
In the present work, we utilize a new Sardar sub-equation approach, leading to the
successful derivation of several exact solutions for the time-fractional Kudryashov's …

[HTML][HTML] A numerical method for solving the nonlinear equations of Emden-Fowler models

AMS Mahdy - Journal of Ocean Engineering and Science, 2022 - Elsevier
These equations are of much significance in Newtonian astrophysics and the constant n is
named the polytropic sort. In this paper, we are enthused about considering another …

Some models of solitary wave propagation in optical fibers involving Kerr and parabolic laws

G Boakye, K Hosseini, E Hinçal, S Sirisubtawee… - Optical and Quantum …, 2024 - Springer
This study delves into the realm of solitary wave dynamics with pivotal applications in
nonlinear optics. More precisely, the current paper investigates the solitary waves' …

Dynamical behaviours and fractional alphabetical-exotic solitons in a coupled nonlinear electrical transmission lattice including wave obliqueness

E Fendzi-Donfack, E Tala-Tebue, M Inc… - Optical and Quantum …, 2023 - Springer
We investigate through the ansatz and auxiliary equation methods novel types of solitary
wave solutions for (2+ 1)-D coupled nonlinear electrical transmission lattice with wave …

Analysis of chaotic structures, bifurcation and soliton solutions to fractional Boussinesq model

A Ali, J Ahmad, S Javed - Physica Scripta, 2023 - iopscience.iop.org
In this work, we used the space-time fractional coupled Boussinesq (STFCB) model that is
essential tools in the study of quantum optics, steady physics, the variational string's acoustic …

[HTML][HTML] Analytical investigation and graphical simulations for the solitary wave behavior of Chaffee–Infante equation

M Sadaf, S Arshed, G Akram, MR Ali, I Bano - Results in Physics, 2023 - Elsevier
Chaffee–Infante equation has several useful applications in the field of electromagnetic
waves, fluid dynamics, plasma physics, signal processing in optical fibers and sound waves …