Traveling wave solutions for (3+ 1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity

MS Osman, H Rezazadeh, M Eslami - Nonlinear Engineering, 2019 - degruyter.com
In this work, we consider the (3+ 1) dimensional conformable fractional Zakharov-Kuznetsov
equation with power law nonlinearity. Solitary wave solutions, soliton wave solutions, elliptic …

Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system

AT Ali, MMA Khater, RAM Attia, AH Abdel-Aty… - Chaos, Solitons & …, 2020 - Elsevier
This research paper investigates the analytical and numerical solutions of the generalized
formula of Hirota-Satsuma coupled KdV system which is also known as the generalized KdV …

An efficient computational technique for fractional model of generalized Hirota–Satsuma-coupled Korteweg–de Vries and coupled modified Korteweg–de Vries …

P Veeresha, DG Prakasha… - Journal of …, 2020 - asmedigitalcollection.asme.org
The aim of the present investigation to find the solution for fractional generalized Hirota–
Satsuma coupled Korteweg–de-Vries (KdV) and coupled modified KdV (mKdV) equations …

[HTML][HTML] A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow

S Kumar, A Kumar, Z Odibat, M Aldhaifallah… - AIMS …, 2020 - aimspress.com
In this study, a comparison between the modified homotopy analysis transform method
(MHATM) and residual power series method (RPSM) have been given for solving time …

[HTML][HTML] A unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled …

X Wang, XG Yue, MKA Kaabar, A Akbulut… - Journal of Ocean …, 2024 - Elsevier
A novel technique, named auxiliary equation method, is applied in this research work for
obtaining new traveling wave solutions for two interesting proposed systems: the Kaup …

A fractional analysis of Noyes–Field model for the nonlinear Belousov–Zhabotinsky reaction

L Akinyemi - Computational and Applied Mathematics, 2020 - Springer
Nonlinear phenomena play an essential role in various field of natural sciences and
engineering. In particular, the nonlinear chemical reactions are observed in various …

[HTML][HTML] Fundamental calculus of the fractional derivative defined with Rabotnov exponential kernel and application to nonlinear dispersive wave model

M Yavuz, N Sene - Journal of Ocean Engineering and Science, 2021 - Elsevier
Before going further with fractional derivative which is constructed by Rabotnov exponential
kernel, there exist many questions that are not addressed. In this paper, we try to …

[HTML][HTML] On the dynamics of nonlinear propagation and interaction of the modified KP solitons in multicomponent complex plasmas

M Shohaib, W Masood, R Jahangir, M Siddiq… - Journal of Ocean …, 2022 - Elsevier
Dust-acoustic waves (DAWs) are analyzed in the small amplitude limit in a collisionless
unmagnetized dusty plasma whose constituents are inertial dust grains, massless ions …

Dynamics of optical solitons in the extended (3+ 1)‐dimensional nonlinear conformable Kudryashov equation with generalized anti‐cubic nonlinearity

M Mirzazadeh, MS Hashemi, A Akbulu… - … Methods in the …, 2024 - Wiley Online Library
The nonlinear Schrödinger equation (NLSE) is a fundamental equation in the field of
nonlinear optics and plays an important role in the study of many physical phenomena. The …

[HTML][HTML] Numerical solutions of nonlinear time fractional Klein-Gordon equation via natural transform decomposition method and iterative Shehu transform method

ASVR Kanth, K Aruna, K Raghavendar… - Journal of Ocean …, 2021 - Elsevier
Abstract The time-fractional Klein-Gordon equation was analyzed in this article using the
natural transform decomposition method (NTDM) and the iterative Shehu transform method …