Bifurcation, phase plane analysis and exact soliton solutions in the nonlinear Schrodinger equation with Atangana's conformable derivative

MN Alam, M Iqbal, M Hassan, M Fayz-Al-Asad… - Chaos, Solitons & …, 2024 - Elsevier
The nonlinear Schrodinger equation (NLSE) with Atangana's conformable fractional
derivative (ACFD) is an equation that describes how the quantum state of a physical system …

Unraveling the dynamic complexity: exploring the (3+ 1)-dimensional conformable mKdV-ZK equation

X Ding, SM Boulaaras, HU Rehman, I Iqbal… - Optical and Quantum …, 2024 - Springer
The primary objective of this article is to construct novel solitary wave solutions for the
nonlinear (3+ 1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation …

[HTML][HTML] Nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified Korteweg–de Vries equation in dusty plasma

M Iqbal, D Lu, AR Seadawy, Z Zhang - Results in Physics, 2024 - Elsevier
In this article, the nonlinear plasma model known the damped modified Korteweg–de Vries
equation under consideration on the base of analytical technique to know the novel …

Extraction of newly soliton wave structure to the nonlinear damped Korteweg–de Vries dynamical equation through a computational technique

M Iqbal, WA Faridi, R Algethamie, FAH Alomari… - Optical and Quantum …, 2024 - Springer
Abstract The damped Korteweg-de Vries (D-KdV) equation is a significant extension of the
Korteweg–de Vries equation, which plays an important role in understanding the complex …

A novel investigation on propagation of envelop optical soliton structure through a dispersive medium in the nonlinear Whitham–Broer–Kaup dynamical equation

M Iqbal, D Lu, WA Faridi, MAS Murad… - International Journal of …, 2024 - Springer
Abstract The nonlinear Whitham-Broer-Kaup dynamical equation under investigation on the
base of auxiliary equation approach. We secured the exact soliton solutions of nonlinear …

Investigation of solitons structures for nonlinear ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical equations

M Iqbal, D Lu, AR Seadawy, M Ashraf… - Optical and Quantum …, 2024 - Springer
In this work, we analysis the novel behavior of solitons to the nonlinear evolution equations
describing the ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical …

A construction of novel soliton solutions to the nonlinear fractional Kairat-II equation through computational simulation

M Iqbal, D Lu, M Alammari, AR Seadawy… - Optical and Quantum …, 2024 - Springer
In this research paper, explored the newly exact soliton solutions of the nonlinear fractional
Kairat-II equation under extended simple equation method. The set of Kairat-II equations …

Exploration of unexpected optical mixed, singular, periodic and other soliton structure to the complex nonlinear Kuralay-IIA equation

M Iqbal, D Lu, AR Seadawy, FAH Alomari… - Optik, 2024 - Elsevier
In this research work, we explored novel soliton solutions to the complex nonlinear Kuralay-
II (K-IIA) equation on the bases of computational simulation. This complex nonlinear …

Analysis of mixed soliton solutions for the nonlinear Fisher and diffusion dynamical equations under explicit approach

S Alqahtani, M Iqbal, AR Seadawy, Y Jazaa… - Optical and Quantum …, 2024 - Springer
In this study, with the help of improved exp (-Φ (η))-function method, we explored the soliton
solutions for the well-known nonlinear Fisher and nonlinear diffusion dynamical equations …

Formation of optical soliton wave profiles of nonlinear conformable Schrödinger equation in weakly non-local media: Kudryashov auxiliary equation method

MAS Murad - Journal of Optics, 2024 - Springer
In this paper, we present an analysis of the cubic-quintic-septimal nonlinear Schrödinger
equation, which governs the evolution of light beams in a weak nonlocal medium with a …