Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics

S Kumar, B Mohan, R Kumar - Nonlinear Dynamics, 2022 - Springer
This article investigates a nonlinear fifth-order partial differential equation (PDE) in two-
mode waves. The equation generalizes two-mode Sawada-Kotera (tmSK), two-mode Lax …

Numerical solution for (2+ 1)‐dimensional time‐fractional coupled Burger equations using fractional natural decomposition method

DG Prakasha, P Veeresha… - … Methods in the Applied …, 2019 - Wiley Online Library
The aim of the present work is to find the numerical solutions for time‐fractional coupled
Burgers equations using a new novel technique, called fractional natural decomposition …

Flow of Casson Nanofluid Past a Permeable Surface: Effects of Brownian Motion, Thermophoretic Diffusion and Lorenz force

SV Vyakaranam, B Pathuri, VRR Gurrampati… - CFD Letters, 2022 - semarakilmu.com.my
This study is aimed at testing the significance of Brownian movement and thermophoresis
dispersion on MHD Casson nano liquid limit layer stream past a nonlinear slanted …

A high-order compact finite difference scheme and precise integration method based on modified Hopf-Cole transformation for numerical simulation of n-dimensional …

C Chen, X Zhang, Z Liu - Applied Mathematics and Computation, 2020 - Elsevier
This paper modifies a n-dimensional Hopf-Cole transformation to the n-dimensional Burgers'
system. We obtain the n-dimensional heat conduction equation through the modification of …

[HTML][HTML] An unconditionally stable finite-difference method for the solution of multi-dimensional transport equation

H Saad, HG Asker - Ain Shams Engineering Journal, 2021 - Elsevier
The rightward representation of the Barakat-Clark ADE scheme is extended for the solution
of the Multi-dimensional Transport equation. The first-order derivative of the Transport …