Bifurcation, chaos, and stability analysis to the second fractional WBBM model

MS Ullah, MZ Ali, HO Roshid - PloS one, 2024 - journals.plos.org
This manuscript investigates bifurcation, chaos, and stability analysis for a significant model
in the research of shallow water waves, known as the second 3D fractional Wazwaz …

New wave behaviors and stability analysis for the (2+ 1)-dimensional Zoomeron model

MS Ullah, HO Roshid, MZ Ali - Optical and Quantum Electronics, 2024 - Springer
Abstract This manuscript employs the (2+ 1)-dimensional Zoomeron model extensively used
in laser physics, fluids, optical fibre communication, and other mathematical physics and …

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 …

Soliton dynamics and chaotic analysis of the Biswas–Arshed model

AH Ganie, MM AlBaidani, AM Wazwaz, WX Ma… - Optical and Quantum …, 2024 - Springer
In this study, we investigate the Biswas–Arshed (BA) model, applicable in various fields such
as fluid mechanics, laser science, and nonlinear optics. We employ the direct algebraic …

Painlevé analysis, Bäcklund transformation and soliton solutions of the (2+ 1)-dimensional variable-coefficient Boussinesq equation

LL Zhang, X Lü, SZ Zhu - International Journal of Theoretical Physics, 2024 - Springer
Variable-coefficient equations can be used to describe certain phenomena when the
inhomogeneous media and nonuniform boundaries are taken into consideration. It is …

Multiple rogue wave, double-periodic soliton and breather wave solutions for a generalized breaking soliton system in (3+ 1)-dimensions

W Li, Y Kuang, J Manafian, S Malmir, B Eslami… - Scientific Reports, 2024 - nature.com
We focused on solitonic phenomena in wave propagation which was extracted from a
generalized breaking soliton system in (3+ 1)-dimensions. The model describes the …

Exploration of soliton structures in the Hirota–Maccari system with stability analysis

N Alam, WX Ma, MS Ullah, AR Seadawy… - … Physics Letters B, 2024 - World Scientific
In this research, the modified extended tanh-function (METF) and the extended Jacobi
elliptic function expansion (EJEFE) techniques are used to investigate the generation and …

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 …

Analysis of fractional solitary wave propagation with parametric effects and qualitative analysis of the modified Korteweg-de Vries-Kadomtsev-Petviashvili equation

J Muhammad, U Younas, E Hussain, Q Ali… - Scientific Reports, 2024 - nature.com
This study explores the fractional form of modified Korteweg-de Vries-Kadomtsev-
Petviashvili equation. This equation offers the physical description of how waves propagate …

M-lump solutions, lump-breather solutions, and N-soliton wave solutions for the KP-BBM equation via the improved bilinear neural network method using innovative …

C Huang, Y Zhu, K Li, J Li, R Zhang - Nonlinear Dynamics, 2024 - Springer
Abstract The Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation has significant
applications in the accurate simulation of wave behavior in physical systems. In recent …