[HTML][HTML] Wave profile analysis of a couple of (3+ 1)-dimensional nonlinear evolution equations by sine-Gordon expansion approach

MRA Fahim, PR Kundu, ME Islam, MA Akbar… - Journal of Ocean …, 2022 - Elsevier
Abstract The (3+ 1)-dimensional Kadomtsev-Petviashvili and the modified KdV-Zakharov-
Kuznetsov equations have a significant impact in modern science for their widespread …

[HTML][HTML] Propagation of long internal waves in density stratified ocean for the (2+ 1)-dimensional nonlinear Nizhnik-Novikov-Vesselov dynamical equation

M Iqbal, AR Seadawy, OH Khalil, D Lu - Results in Physics, 2020 - Elsevier
Our aim in this article to constructed the new solitary wave solutions of (2+ 1)-dim nonlinear
Nizhnik-Novikov-Vesselov equation by novel approach which is extended modified rational …

Auto-Bäcklund transformations, bilinear forms, multiple-soliton, quasi-soliton and hybrid solutions of a (3+ 1)-dimensional modified Korteweg-de Vries-Zakharov …

TY Zhou, B Tian, CR Zhang, SH Liu - The European Physical Journal Plus, 2022 - Springer
Electron-positron plasmas appear in the early Universe and many cosmic environments. In
this paper, a (3+ 1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation …

[HTML][HTML] The Lie symmetry analysis and exact Jacobi elliptic solutions for the Kawahara–KdV type equations

B Ghanbari, S Kumar, M Niwas, D Baleanu - Results in Physics, 2021 - Elsevier
In this article, we aim to employ two analytical methods including, the Lie symmetry method
and the Jacobi elliptical solutions finder method to acquire exact solitary wave solutions in …

Solitons and other solutions of (3+ 1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation

KS Al-Ghafri, H Rezazadeh - Applied Mathematics and Nonlinear …, 2019 - sciendo.com
In the current paper, we carry out an investigation into the exact solutions of the (3+ 1)-
dimensional space-time fractional modified KdV–Zakharov–Kuznetsov (fractional mKdV–ZK) …

[HTML][HTML] Improved fractional sub-equation method for (3+ 1)-dimensional generalized fractional KdV–Zakharov–Kuznetsov equations

S Sahoo, SS Ray - Computers & Mathematics with Applications, 2015 - Elsevier
In the present paper, we construct the analytical exact solutions of some nonlinear evolution
equations in mathematical physics, namely the time fractional KdV–Zakharov–Kuznetsov …

[HTML][HTML] New solitary wave solutions of (3+ 1)-dimensional nonlinear extended Zakharov-Kuznetsov and modified KdV-Zakharov-Kuznetsov equations and their …

D Lu, AR Seadawy, M Arshad, J Wang - Results in physics, 2017 - Elsevier
In this paper, new exact solitary wave, soliton and elliptic function solutions are constructed
in various forms of three dimensional nonlinear partial differential equations (PDEs) in …

[HTML][HTML] Exact traveling wave solutions of the Schamel Burgers' equation by using generalized-improved and generalized G′ G expansion methods

SK Mohanty, OV Kravchenko, AN Dev - Results in Physics, 2022 - Elsevier
Abstract The Schamel Burgers' equation is a nonlinear partial differential equation which
produces the shock type traveling waves in extraordinary physical situations. Previously, this …

On the conservation laws and exact solutions to the (3+ 1)-dimensional modified kdv-zakharov-kuznetsov equation

A Akbulut, H Almusawa, M Kaplan, MS Osman - Symmetry, 2021 - mdpi.com
In this paper, we consider conservation laws and exact solutions of the (3+ 1)-dimensional
modified KdV–Zakharov–Kuznetsov equation. Firstly, we construct conservation laws of the …

Wave propagation for the nonlinear modified Kortewege–de Vries Zakharov–Kuznetsov and extended Zakharov–Kuznetsov dynamical equations arising in nonlinear …

AR Seadawy, M Iqbal, S Althobaiti, S Sayed - Optical and Quantum …, 2021 - Springer
In this study, we construct the new solitary wave solutions for two well known nonlinear wave
equations whose describe the wave propagation in nonlinear media. We implemented a …