[HTML][HTML] On traveling wave solutions with bifurcation analysis for the nonlinear potential Kadomtsev-Petviashvili and Calogero–Degasperis equations
In this study, we delve into the exploration of the (2+ 1)-dimensional potential Kadomtsev-
Petviashvili (pKP) and Calogero–Degasperis equation (CDE) models, which hold significant …
Petviashvili (pKP) and Calogero–Degasperis equation (CDE) models, which hold significant …
[HTML][HTML] Bifurcation analysis and soliton structures of the truncated M-fractional Kuralay-II equation with two analytical techniques
SMY Arafat, SMR Islam - Alexandria Engineering Journal, 2024 - Elsevier
The truncated M-fractional Kuralay (TMFK)-II equation is prevalent in the exploration of
specific complex nonlinear wave phenomena. Such types of wave phenomena are more …
specific complex nonlinear wave phenomena. Such types of wave phenomena are more …
Exploring the fractional effect to the optical wave propagation for the extended Kairat-II equation
This work focuses on the study of the fractional parametric effect on the dynamics of solitary
waves for the recently introduced integrable system known as the extended (3+ 1) …
waves for the recently introduced integrable system known as the extended (3+ 1) …
Analysis of fractional solitary wave propagation with parametric effects and qualitative analysis of the modified Korteweg-de Vries-Kadomtsev-Petviashvili equation
This study explores the fractional form of modified Korteweg-de Vries-Kadomtsev-
Petviashvili equation. This equation offers the physical description of how waves propagate …
Petviashvili equation. This equation offers the physical description of how waves propagate …
Analyzing bifurcation, stability, and wave solutions in nonlinear telecommunications models using transmission lines, Hamiltonian and Jacobian techniques
This study presents a comprehensive analysis of a nonlinear telecommunications model,
exploring bifurcation, stability, and wave solutions using Hamiltonian and Jacobian …
exploring bifurcation, stability, and wave solutions using Hamiltonian and Jacobian …
Some optical soliton solutions with bifurcation analysis of the paraxial nonlinear Schrödinger equation
The paraxial nonlinear Schrödinger equation finds diverse applications in the fields of
nonlinear optics, optical communication systems, plasma physics, and mathematical …
nonlinear optics, optical communication systems, plasma physics, and mathematical …
Optical soliton stability in zig-zag optical lattices: comparative analysis through two analytical techniques and phase portraits
This article explores the examination of the widely employed zig-zag optical lattice model for
cold bosonic atoms, which is commonly utilized to depict nonlinear wave in fluid mechanics …
cold bosonic atoms, which is commonly utilized to depict nonlinear wave in fluid mechanics …
[HTML][HTML] Bifurcation analysis and exact wave solutions of the nano-ionic currents equation: Via two analytical techniques
SMR Islam - Results in Physics, 2024 - Elsevier
In this work, numerous nonlinear evolution equations, namely the nano-ionic current
equation, have wide applications in various fields of science and technology. To achieve …
equation, have wide applications in various fields of science and technology. To achieve …
[PDF][PDF] Exploring novel optical soliton solutions for the 5 stochastic chiral nonlinear Schrödinger equation: 6 Stability analysis and impact of parameters 7
SMR Islam, SMY Arafat - 2024 - researchgate.net
The primary aim of this investigation is to uncover novel optical soliton solutions (OSSs) 26
and conduct a comprehensive stability analysis of a particular model. The extraction of 27 …
and conduct a comprehensive stability analysis of a particular model. The extraction of 27 …
Qualitative analysis and optical soliton solutions galore: scrutinizing the (2+ 1)-dimensional complex modified Korteweg–de Vries system
B Kopçasız - Nonlinear Dynamics, 2024 - Springer
Abstract This investigation discusses the (2+ 1)-dimensional complex modified Korteweg–de
Vries (cmKdV) system. The cmKdV system describes the nontrivial dynamics of water …
Vries (cmKdV) system. The cmKdV system describes the nontrivial dynamics of water …