[PDF][PDF] A review of the integral transforms-based decomposition methods and their applications in solving nonlinear PDEs
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 …
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
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 …
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
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 …
modified Camassa-Holm (MCH) equation and space-time fractional symmetric regularized …
An Efficient Technique of Fractional-Order Physical Models Involving ρ-Laplace Transform
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 …
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 …
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
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 …
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
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 …
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 …
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
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 …
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
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 …
dynamical model that is called the system of coupled Burger's equations. This system plays …