[HTML][HTML] Extracting the exact solitons of time-fractional three coupled nonlinear Maccari's system with complex form via four different methods

Z Chen, J Manafian, M Raheel, A Zafar, F Alsaikhan… - Results in Physics, 2022 - Elsevier
This current research is considered some new exact soliton solutions to the time-fractional
three coupled non-linear Maccari's system in complex form with novel truncated M-fractional …

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 …

Multi-wave, breather and interaction solutions to (3+ 1) dimensional Vakhnenko–Parkes equation arising at propagation of high-frequency waves in a relaxing …

Y Sağlam Özkan, AR Seadawy… - Journal of Taibah …, 2021 - Taylor & Francis
In this study, based on the Hirota bilinear form, the exact analytic solutions of the (3+ 1)
dimensional Vakhnenko–Parkes equation with various physical properties were constructed …

Effect of β-derivative on time fractional Jaulent–Miodek system under modified auxiliary equation method and exp (− g (Ω))-expansion method

I Zainab, G Akram - Chaos, Solitons & Fractals, 2023 - Elsevier
Abstract The time fractional Jaulent–Miodek (JM) system is investigated analytically under β-
derivative in this study. The JM system is associated with energy dependent potential of the …

Dynamics of novel exact soliton solutions of concatenation model using effective techniques

MAU Khan, G Akram, M Sadaf - Optical and Quantum Electronics, 2024 - Springer
The exact soliton solutions of concatenated model are extracted in this research paper. Two
exact methods, exp (-s (Λ))-expansion method and extended (G′ G 2)-expansion method …

[PDF][PDF] An analytical analysis to solve the fractional differential equations

J Manafian, N Allahverdiyeva - Adv. Math. Models Appl, 2021 - jomardpublishing.com
This paper investigates some novel exact analytical solutions, including soliton wave,
periodic wave, singular, and kink-singular wave solutions for the fractional Whitham-Broer …

Investigation of fractional nonlinear regularized long-wave models via novel techniques

M Naeem, H Yasmin, R Shah, NA Shah, K Nonlaopon - Symmetry, 2023 - mdpi.com
The main goal of the current work is to develop numerical approaches that use the Yang
transform, the homotopy perturbation method (HPM), and the Adomian decomposition …

[HTML][HTML] Mathematical and physical analysis of fractional estevez–mansfield–clarkson equation

H Qawaqneh, Y Alrashedi - Fractal and Fractional, 2024 - mdpi.com
This paper presents the mathematical and physical analysis, as well as distinct types of
exact wave solutions, of an important fluid flow dynamics model called the truncated M …

Analytical soliton solutions of the beta time-fractional simplified modified Camassa-Holm equation in shallow water wave propagation

MM Khatun, MA Akbar - Journal of Umm Al-Qura University for Applied …, 2024 - Springer
In this study, the analytical soliton solutions of the beta time-fractional simplified modified
Camassa-Holm equation, a mathematical model used to describe the propagation of …

[HTML][HTML] Some novel integration techniques to explore the conformable M-fractional Schrödinger-Hirota equation

A Zafar, M Raheel, M Asif, K Hosseini… - Journal of Ocean …, 2022 - Elsevier
The current study deals with exact soliton solutions for Schrödinger-Hirota (SH) equation via
two modified integration methods. Those methods are known as the improved (G′/G) …