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 …

New exact solutions of (3+ 1)-dimensional modified KdV-Zakharov-Kuznetsov equation by Sardar-subequation method

S Yasin, A Khan, S Ahmad, MS Osman - Optical and Quantum Electronics, 2024 - Springer
New solitary wave solutions are developed for various shapes of three-dimensional
nonlinear partial differential equations using the Sardar-Subequation method. Some …

A generalized nonlinear Schrödinger involving the weak nonlocality: its Jacobi elliptic function solutions and modulational instability

K Hosseini, K Sadri, E Hinçal, S Sirisubtawee… - Optik, 2023 - Elsevier
The present paper investigates the features of specific waves in a weakly nonlocal nonlinear
medium. More precisely, a generalized nonlinear Schrödinger equation (gNLSE) involving a …

Optical solitons and stability analysis for the new -dimensional nonlinear Schrödinger equation

T Mathanaranjan - Journal of Nonlinear Optical Physics & Materials, 2023 - World Scientific
This paper explores the new (3+ 1)-dimensional nonlinear Schrödinger equation which is
used to model the propagation of ultra-short optical pulses in highly-nonlinear media. This …

The (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation: its solitons and Jacobi elliptic function solutions

K Hosseini, S Salahshour, M Mirzazadeh… - The European Physical …, 2021 - Springer
The search for exact solutions of nonlinear evolution models with different wave structures
has achieved significant attention in recent decades. The present paper studies a nonlinear …

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 …

Biswas–Arshed equation with the beta time derivative: optical solitons and other solutions

K Hosseini, M Mirzazadeh, M Ilie, JF Gómez-Aguilar - Optik, 2020 - Elsevier
This paper considers the Biswas–Arshed equation (BAE) with the beta time derivative and
investigates its optical solitons and other solutions in the presence of high order dispersions …

Periodic and solitary waves of the nonlinear Konno–Oono model: generalized methods

K Hosseini, K Sadri, E Hincal, A Abbasi… - Optical and Quantum …, 2023 - Springer
There has been considerable academic interest in the study of nonlinear dynamical models
and their exact traveling waves over the past few years. The main aim of the present paper is …

Soliton solutions of high-order nonlinear Schrödinger equations with different laws of nonlinearities

K Hosseini, M Matinfar, M Mirzazadeh - Regular and Chaotic Dynamics, 2021 - Springer
In the present paper, high-order nonlinear Schrödinger equations in non-Kerr law media
with different laws of nonlinearities are studied. In this respect, after considering a complex …

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 …