Bifurcation, chaotic pattern and traveling wave solutions for the fractional Bogoyavlenskii equation with multiplicative noise

T Han, Y Jiang - Physica Scripta, 2024 - iopscience.iop.org
This paper presents a new study that incorporates the Stratonovich integral and conformal
fractional derivative into the fractional stochastic Bogoyavlenskii equation with multiplicative …

[HTML][HTML] Chaotic behavior and traveling wave solutions of the fractional stochastic Zakharov system with multiplicative noise in the Stratonovich sense

T Han, C Tang, K Zhang, L Zhao - Results in Physics, 2023 - Elsevier
This study employed the planar dynamics system method to investigate the chaotic behavior
and traveling wave solution of the fractional stochastic Zakharov system arising in plasma …

[HTML][HTML] Chaotic behavior and solitary wave solutions of stochastic-fractional Drinfel'd–Sokolov–Wilson equations with Brownian motion

T Han, Z Zhao, K Zhang, C Tang - Results in Physics, 2023 - Elsevier
The stochastic-fractional Drinfel'd–Sokolov–Wilson equation is a presently improved
nonlinear partial differential equation in electromagnetism and fluid mechanics. Using the …

Dynamical features and sensitivity visualization of thin-film Polarisation equation

S Fatima, N Abbas, S Muhammad - Physica Scripta, 2023 - iopscience.iop.org
The present investigation describes the dynamical behavior, multi-stability, and traveling
wave solutions of thin-film polarisation equations (TFPE) which describes the propagation of …

[HTML][HTML] Applications of complete discrimination system approach to analyze the dynamic characteristics of the cubic–quintic nonlinear Schrodinger equation with …

AR Seadawy, STR Rizvi, B Mustafa, K Ali - Results in Physics, 2024 - Elsevier
In this research, the complete discriminant system (CDS) of polynomial method (CDSPM)
will be applied to analyze the dynamic characteristics of the cubic–quintic nonlinear …

[HTML][HTML] New hyperbolic and rational form solutions of (2+ 1)-dimensional generalized Korteweg-de Vries model

N Raza, A Batool, M Inc - Journal of Ocean Engineering and Science, 2022 - Elsevier
In this paper, to find new wave structures of (2+ 1)-dimensional new generalized Korteweg-
de Vries (ngKdV) equation, extended generalized Kudryashov and improved tan (ϕ 2) …

Optical Wave Phenomena in Birefringent Fibers Described by Space‐Time Fractional Cubic‐Quartic Nonlinear Schrödinger Equation with the Sense of Beta and …

MF Uddin, MG Hafez - Advances in Mathematical Physics, 2022 - Wiley Online Library
The work explores the optical wave solutions along with their graphical representations by
proposing the coupled spatial‐temporal fractional cubic‐quartic nonlinear Schrödinger …

Dynamic study of qualitative analysis, traveling waves, solitons, bifurcation, quasiperiodic, and chaotic behavior of integrable kuralay equations

S Kumar, N Mann - Optical and Quantum Electronics, 2024 - Springer
In this work, we implement the bifurcation theory for the planar dynamical system and the
complete discrimination system method of polynomials to the integrable Kuralay equations …

Analyzing bifurcation, stability, and wave solutions in nonlinear telecommunications models using transmission lines, Hamiltonian and Jacobian techniques

A Refaie Ali, HO Roshid, S Islam, A Khatun - Scientific Reports, 2024 - nature.com
This study presents a comprehensive analysis of a nonlinear telecommunications model,
exploring bifurcation, stability, and wave solutions using Hamiltonian and Jacobian …

[HTML][HTML] Embedded solitons, chaotic behavior, bifurcation of cubic-quartic χ (2) and χ (3) nonlinear susceptibilities with multiplicative white noise

Z Li, X Zhang, F Miao - Results in Physics, 2023 - Elsevier
The main objective of this paper is to study the chaotic behavior and embedded soliton of
cubic-quartic χ (2) and χ (3) nonlinear susceptibilities with multiplicative white noise. Firstly …