Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation

K Hosseini, E Hinçal, M Ilie - Nonlinear Dynamics, 2023 - Springer
The main goal of the present study is to conduct a deeper investigation into a generalized
Schrödinger equation describing the propagation of optical pulses in media. To this end, the …

[HTML][HTML] New solutions of the soliton type of shallow water waves and superconductivity models

MA Akbar, FA Abdullah, MT Islam, MA Al Sharif… - Results in Physics, 2023 - Elsevier
For uni-directional wave transmission in the smooth bottom of shallow sea water and the
superconductivity of nonlinear media with dispersion systems, the (1+ 1)-dimensional …

On the dynamics of soliton waves in a generalized nonlinear Schrödinger equation

K Hosseini, E Hincal, S Salahshour, M Mirzazadeh… - Optik, 2023 - Elsevier
The main objective of the present paper is to investigate the dynamics of soliton waves in a
generalized nonlinear Schrödinger (GNLS) equation. To achieve such a goal, the real and …

N-soliton, soliton molecules, Y-type soliton, periodic lump and other wave solutions of the new reduced B-type Kadomtsev–Petviashvili equation for shallow water …

KJ Wang - The European Physical Journal Plus, 2024 - Springer
In the present work, we aim to look into the new reduced form of the B-type Kadomtsev–
Petviashvili equation (gBKPe) for the shallow water waves. First, the N-soliton solutions are …

A novel integration approach to study the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index

M Mirzazadeh, A Akbulut, F Taşcan, L Akinyemi - Optik, 2022 - Elsevier
Modelling the movement of waves and the propagation of waves is extremely important in
the field of fluid dynamics. All types of waves phenomena are very important in real-life …

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' …

Dynamics of breather, multi-wave, interaction and other wave solutions to the new (3+ 1)-dimensional integrable fourth-order equation for shallow water waves

KJ Wang - International Journal of Numerical Methods for Heat & …, 2023 - emerald.com
Dynamics of breather, multi-wave, interaction and other wave solutions to the new (3+1)-dimensional
integrable fourth-order equation for shallow water waves | Emerald Insight Books and journals …

Lie vector fields, conservation laws, bifurcation analysis, and Jacobi elliptic solutions to the Zakharov–Kuznetsov modified equal-width equation

K Hosseini, F Alizadeh, K Sadri, E Hinçal… - Optical and Quantum …, 2024 - Springer
The present paper intends to thoroughly study an evolutionary model called the Zakharov–
Kuznetsov modified equal-width (ZK–MEW) equation. More precisely, Lie symmetries as …

[HTML][HTML] A non-linear study of optical solitons for Kaup-Newell equation without four-wave mixing

HU Rehman, AU Awan, KA Abro, ESMT El Din… - Journal of King Saud …, 2022 - Elsevier
Nonlinear science is a fundamental science frontier that include studies and the common
properties of nonlinear phenomena. This article is devoted to the study of sub-pico second …

On the semi-domain soliton solutions for the fractal (3+ 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation

KJ Wang, JH Liu, F Shi - Fractals, 2024 - World Scientific
The aim of this study is to explore some semi-domain soliton solutions for the fractal (3+ 1)-
dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation (GKPBe) within …