New exact solutions of nonlinear conformable time-fractional Phi-4 equation

H Rezazadeh, H Tariq, M Eslami, M Mirzazadeh… - Chinese Journal of …, 2018 - Elsevier
In this paper, new exact analytical solutions of time-fractional Phi-4 equation are developed
using extended direct algebraic method by means of conformable fractional derivative. The …

New numerical results for the time-fractional Phi-four equation using a novel analytical approach

W Gao, P Veeresha, DG Prakasha, HM Baskonus… - Symmetry, 2020 - mdpi.com
This manuscript investigates the fractional Phi-four equation by using q-homotopy analysis
transform method (q-HATM) numerically. The Phi-four equation is obtained from one of the …

Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

M Şenol, OS Iyiola, H Daei Kasmaei… - Advances in Difference …, 2019 - Springer
In this paper, we present analytical-approximate solution to the time-fractional nonlinear
coupled Jaulent–Miodek system of equations which comes with an energy-dependent …

Exact solitary wave solutions by extended rational sine-cosine and extended rational sinh-cosh techniques

N Mahak, G Akram - Physica Scripta, 2019 - iopscience.iop.org
Solitonic solutions have become a popular topic among traveling wave solutions since they
act as a bridge between mathematics and physics. In this article, two newly developed …

Analysis of lie symmetry, explicit series solutions, and conservation laws for the nonlinear time-fractional phi-four equation in two-dimensional space

OA Arqub, T Hayat, M Alhodaly - International Journal of Applied and …, 2022 - Springer
The range of FPDEs is a leading bind between theoretical mathematics and its
implementations. FPDEs administer a wide territory of physical real phenomena like binary …

[PDF][PDF] Solving fractional partial differential equations via a new scheme

A Qazza, R Saadeh, E Salah - AIMS Mathematics, 2022 - aimspress.com
Solving fractional partial differential equations via a new scheme Page 1 AIMS Mathematics,
8(3): 5318–5337. DOI: 10.3934/math.2023267 Received: 16 September 2022 Revised: 30 …

Dynamical interaction of solitary, periodic, rogue type wave solutions and multi-soliton solutions of the nonlinear models

MM Roshid, A Abdeljabbar, A Aldurayhim… - Heliyon, 2022 - cell.com
This study presents a modification form of modified simple equation method, namely new
modified simple equation method. Multiple waves and interaction of soliton solutions of the …

New solutions of fractional Drinfeld-Sokolov-Wilson system in shallow water waves

O Tasbozan, M Şenol, A Kurt, O Özkan - Ocean Engineering, 2018 - Elsevier
In this paper, we present new exact solution sets of nonlinear conformable time-fractional
coupled Drinfeld-Sokolov-Wilson equation which arise in shallow water flow models, when …

New structures for the space-time fractional simplified MCH and SRLW equations

KK Ali, RI Nuruddeen, KR Raslan - Chaos, Solitons & Fractals, 2018 - Elsevier
In this paper, we constructed new solitary structures for the space-time fractional simplified
modified Camassa-Holm (MCH) equation and space-time fractional symmetric regularized …

[HTML][HTML] Bifurcation and new exact traveling wave solutions for time-space fractional Phi-4 equation

Z Li, T Han, C Huang - AIP Advances, 2020 - pubs.aip.org
In this paper, the dynamical behavior of a time-space fractional Phi-4 equation is
investigated by utilizing the bifurcation method of a planar dynamical system. Under the …