[PDF][PDF] A review of the integral transforms-based decomposition methods and their applications in solving nonlinear PDEs

RI Nuruddeen, L Muhammad, AM Nass… - Palestine Journal of …, 2018 - researchgate.net
The integral transform based decomposition method comprises of coupling a particular
integral transform de ned in a time domain and the well-known Adomian decomposition …

Adaptation on power series method with conformable operator for solving fractional order systems of nonlinear partial differential equations

MI Liaqat, A Khan, A Akgül - Chaos, Solitons & Fractals, 2022 - Elsevier
The aim of this research work is to modify the power series solution method to fractional
order in the sense of conformable derivative to solve a coupled system of nonlinear …

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 …

An Efficient Technique of Fractional-Order Physical Models Involving ρ-Laplace Transform

NA Shah, I Dassios, ER El-Zahar, JD Chung - Mathematics, 2022 - mdpi.com
In this article, the ρ-Laplace transform is paired with a new iterative method to create a new
hybrid methodology known as the new iterative transform method (NITM). This method is …

[HTML][HTML] Mathematical modeling of tsunami wave propagation at mid ocean and its amplification and run-up on shore

AC Varsoliwala, TR Singh - Journal of Ocean Engineering and Science, 2021 - Elsevier
The paper deals with the study of the mathematical model of tsunami wave propagation
along a coastline of an ocean. The model is based on shallow-water assumption which is …

Collective variables approach to the vector-coupled system of Chen-Lee-Liu equation

R Alrashed, RB Djob, AA Alshaery, SA Alkhateeb… - Chaos, Solitons & …, 2022 - Elsevier
The present manuscript employed a rare approach to tackle a vector-coupled system of
Chen-Lee-Liu Equation (CLLE). This approach was based on the combination of the …

New hyperbolic structures for the conformable time-fractional variant bussinesq equations

KK Ali, RI Nuruddeen, KR Raslan - Optical and Quantum Electronics, 2018 - Springer
In this work, exact analytical solutions for the time fractional variant bussinesq equations are
constructed in the sense of the newly devised fractional derivative called conformable …

[HTML][HTML] New exact solitary wave solutions for the extended (3+ 1)-dimensional Jimbo-Miwa equations

KK Ali, RI Nuruddeen, AR Hadhoud - Results in Physics, 2018 - Elsevier
In this manuscript, new solitary wave solutions for the newly introduced extended (3+ 1)-
dimensional Jimbo-Miwa equations (the first and second) by Wazwaz (2017) are presented …

[HTML][HTML] A hybrid analytical algorithm for thin film flow problem occurring in non-Newtonian fluid mechanics

J Singh, D Kumar, D Baleanu - Ain Shams Engineering Journal, 2021 - Elsevier
In this work, we investigate thin film flow of a third grade fluid down a inclined plane. The
solution of a nonlinear boundary value problem (BVP) is derived by using an effective well …

Wave solutions and numerical validation for the coupled reaction-advection-diffusion dynamical model in a porous medium

AM Mubaraki, H Kim, RI Nuruddeen… - … in Theoretical Physics, 2022 - iopscience.iop.org
The current study examines the special class of a generalized reaction-advection-diffusion
dynamical model that is called the system of coupled Burger's equations. This system plays …