[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 …

Lie symmetry analysis, exact analytical solutions and dynamics of solitons for (2+ 1)-dimensional NNV equations

S Kumar, M Niwas, AM Wazwaz - Physica Scripta, 2020 - iopscience.iop.org
In this present article, we devote our study on (2+ 1)-dimensional Nizhnik-Novikov-Vesselov
(NNV) equations. To achieve our goal, we utilize various mathematical methods, namely Lie …

[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 …

The new exact solitary wave solutions and stability analysis for the ( 2 + 1 ) -dimensional Zakharov–Kuznetsov equation

B Ghanbari, A Yusuf, M Inc, D Baleanu - Advances in difference equations, 2019 - Springer
In this paper, a new generalized exponential rational function method is employed to extract
new solitary wave solutions for the Zakharov–Kuznetsov equation (ZKE). The ZKE exhibits …

Modified auxiliary equation method versus three nonlinear fractional biological models in present explicit wave solutions

MMA Khater, RAM Attia, D Lu - Mathematical and Computational …, 2018 - mdpi.com
In this article, we present a modified auxiliary equation method. We harness this modification
in three fundamental models in the biological branch of science. These models are the …

[HTML][HTML] Dispersive traveling wave solutions of the equal-width and modified equal-width equations via mathematical methods and its applications

D Lu, AR Seadawy, A Ali - Results in Physics, 2018 - Elsevier
Abstract The Equal-Width and Modified Equal-Width equations are used as a model in
partial differential equations for the simulation of one-dimensional wave transmission in …

Analytical optical pulses and bifurcation analysis for the traveling optical pulses of the hyperbolic nonlinear Schrödinger equation

A Saha, KK Ali, H Rezazadeh, Y Ghatani - Optical and Quantum …, 2021 - Springer
Analytical forms of optical pulses for the hyperbolic nonlinear Schrödinger equation are
studied by the extended tanh expansion method and another new method successfully …

Solitary wave solutions to a fractional model using the improved modified extended tanh-function method

MB Almatrafi - Fractal and Fractional, 2023 - mdpi.com
Nonlinear fractional partial differential equations (NLFPDEs) are widely used in simulating a
variety of phenomena arisen in several disciplines such as applied mathematics …

An efficient local meshless method for the equal width equation in fluid mechanics

MN Rasoulizadeh, MJ Ebadi, Z Avazzadeh… - … Analysis with Boundary …, 2021 - Elsevier
This paper proposes an accurate and robust meshless approach for the numerical solution
of the nonlinear equal width equation. The numerical technique is applied for approximating …

Investigation of travelling wave solutions for the (3+ 1)-dimensional hyperbolic nonlinear Schrödinger equation using Riccati equation and F-expansion techniques

MR Ali, MA Khattab, SM Mabrouk - Optical and Quantum Electronics, 2023 - Springer
Abstract The (3+ 1)-dimensional hyperbolic nonlinear Schrödinger equation (HNLS) is used
as a model for different physical phenomena such as the propagation of electromagnetic …