Soliton solutions of the Sasa–Satsuma equation in the monomode optical fibers including the beta-derivatives

K Hosseini, M Mirzazadeh, JF Gómez-Aguilar - Optik, 2020 - Elsevier
The main goal of the present paper is to steer an investigation on the dynamics of soliton
solutions of a nonlinear model in the monomode optical fibers. In this respect, first, soliton …

Exact solutions to the conformable time-fractional discretized mKdv lattice system using the fractional transformation method

Y Asghari, M Eslami, H Rezazadeh - Optical and Quantum Electronics, 2023 - Springer
The major purpose of this study is to seek diverse soliton solutions to the nonlinear
discretized mKdv lattice system including fractional-order in the sense of conformable …

Optical solutions and conservation laws of the Chen–Lee–Liu equation with Kudryashov's refractive index via two integrable techniques

AH Arnous, M Mirzazadeh, A Akbulut… - Waves in Random and …, 2022 - Taylor & Francis
The fundamental objective of this study is to find optical solutions to the perturbed Chen–Lee–
Liu equation with Kudryashov's arbitrary refractive index model. Therefore, we applied the …

New extended direct algebraic method for the resonant nonlinear Schrödinger equation with Kerr law nonlinearity

J Vahidi, A Zabihi, H Rezazadeh, R Ansari - Optik, 2021 - Elsevier
Presented herein is an exact examination on the resonant nonlinear Schrödinger equation
(RNLSE) with Kerr law nonlinearity considering inter-modal dispersion and spatio-temporal …

An investigation of the physical dynamics of a traveling wave solution called a bright soliton

S Duran - Physica Scripta, 2021 - iopscience.iop.org
Abstract This study examines the 1 2 ()+-dimensional Zoomeron equation, which has
recently become popular in applied mathematics and physics. Bright soliton (non …

[HTML][HTML] New solitary waves and exact solutions for the fifth-order nonlinear wave equation using two integration techniques

AH Arnous, M Mirzazadeh, L Akinyemi… - Journal of Ocean …, 2023 - Elsevier
In this paper, we discussed the enhanced Kudryashov's and general projective Riccati
equations techniques for obtaining exact solutions to the fifth-order nonlinear water wave …

W-shaped surfaces to the nematic liquid crystals with three nonlinearity laws

HF Ismael, H Bulut, HM Baskonus - Soft Computing, 2021 - Springer
In this work, we attempt to construct some novel solutions of nematicons within liquid crystals
including three types of nonlinearity namely Kerr, parabolic, and power law, using the …

[HTML][HTML] Bright, dark, periodic and kink solitary wave solutions of evolutionary Zoomeron equation

SW Yao, G Akram, M Sadaf, I Zainab, H Rezazadeh… - Results in Physics, 2022 - Elsevier
The modified auxiliary equation (MAE) approach and the generalized projective Riccati
equation (GPRE) method are used for the first time to solve Zoomeron problem which …

The Sharma–Tasso–Olver–Burgers equation: Its conservation laws and kink solitons

K Hosseini, A Akbulut, D Baleanu… - … in Theoretical Physics, 2022 - iopscience.iop.org
The present paper deals with the Sharma–Tasso–Olver–Burgers equation (STOBE) and its
conservation laws and kink solitons. More precisely, the formal Lagrangian, Lie symmetries …

The geophysical KdV equation: its solitons, complexiton, and conservation laws

K Hosseini, A Akbulut, D Baleanu, S Salahshour… - … -International Journal on …, 2022 - Springer
The main goal of the current paper is to analyze the impact of the Coriolis parameter on
nonlinear waves by studying the geophysical KdV equation. More precisely, specific …