Study on date–Jimbo–Kashiwara–Miwa equation with conformable derivative dependent on time parameter to find the exact dynamic wave solutions

MA Iqbal, Y Wang, MM Miah, MS Osman - Fractal and Fractional, 2021 - mdpi.com
In this article, we construct the exact dynamical wave solutions to the Date–Jimbo–
Kashiwara–Miwa equation with conformable derivative by using an efficient and well …

Jacobi elliptic function expansion method for solving KdV equation with conformable derivative and dual-power law nonlinearity

VS Kumar, H Rezazadeh, M Eslami, F Izadi… - International Journal of …, 2019 - Springer
In this work, the KdV equation with conformable derivative and dual-power law nonlinearity
is considered. It is exceedingly used as a model to depict the feeble nonlinear long waves in …

Dynamical behavior of solitons of the (2+ 1)-dimensional Konopelchenko Dubrovsky system

A Hussain, T Parveen, BA Younis, HUM Ahamd… - Scientific Reports, 2024 - nature.com
Utilizing nonlinear evolution equations (NEEs) is common practice to establish the
fundamental assumptions underlying natural phenomena. This paper examines the weakly …

Strange chaotic attractors under fractal-fractional operators using newly proposed numerical methods

S Qureshi, A Atangana, AA Shaikh - The European Physical …, 2019 - epjplus.epj.org
Two classes of differentiation and integral operators have been successfully used in
modeling real world problems. On the one hand, researchers used the concept of non-local …

New traveling wave solutions for Gilson–Pickering equation in plasma via bifurcation analysis and direct method

AA Elmandouh, ME Elbrolosy - Mathematical Methods in the …, 2022 - Wiley Online Library
This work aims to study the wave propagation for the Gilson–Pickering equation appearing
in plasma. By using an appropriate wave transformation, this equation is converted into a …

Dynamical properties and novel wave solutions of the time-fractional extended (2+ 1)-dimensional Zakharov–Kuznetsov equation in plasma physics

S San, S Sargın - Optical and Quantum Electronics, 2023 - Springer
The paper is intended to investigate of the extended time fractional (2+ 1) dimensional
Zakharov–Kuznetsov (tf-ZK) equation with the sense of Riemann–Liouville (R–L) fractional …

Mathematical analysis for an autonomous financial dynamical system via classical and modern fractional operators

A Yusuf, S Qureshi, SF Shah - Chaos, Solitons & Fractals, 2020 - Elsevier
Economic agents remember the stories of changes of exogenous and endogenous
variables leading researchers to employ fractional operators which inherently possess non …

[HTML][HTML] Construction of traveling waves patterns of (1+ n)-dimensional modified Zakharov-Kuznetsov equation in plasma physics

A Jhangeer, M Munawar, MB Riaz, D Baleanu - Results in Physics, 2020 - Elsevier
In this research, we examine the modified model of (1+ n)-dimensional Zakharov-Kuznetsov
(ZK) equation, which will be used to analyze the nature of weakly nonlinear traveling waves …

The exact solutions of the variable-order fractional stochastic Ginzburg–Landau equation along with analysis of bifurcation and chaotic behaviors

J Qi, X Li, L Bai, Y Sun - Chaos, Solitons & Fractals, 2023 - Elsevier
This article explores the exact solutions of the variable order fractional derivative of the
stochastic Ginzburg–Landau equation (GLE) using the G′ G 2-expansion method with the …

Applications of the (G′/G2)-Expansion Method for Solving Certain Nonlinear Conformable Evolution Equations

S Kaewta, S Sirisubtawee, S Koonprasert… - Fractal and …, 2021 - mdpi.com
The core objective of this article is to generate novel exact traveling wave solutions of two
nonlinear conformable evolution equations, namely, the (2+ 1)-dimensional conformable …