[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] New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G, 1/G-expansion method

MA Iqbal, D Baleanu, MM Miah, HMS Ali, HM Alshehri… - Results in Physics, 2023 - Elsevier
In the electrical transmission lines, the processing of cable signals distribution, computer
networks, high-speed computer databases and discrete networks can be investigated by the …

Optical soliton solutions to the generalized nonautonomous nonlinear Schrödinger equations in optical fibers via the sine-Gordon expansion method

KK Ali, AM Wazwaz, MS Osman - Optik, 2020 - Elsevier
This article presents soliton solutions to the generalized nonautonomous nonlinear
Schrödinger equations (with time-dependent coefficients) via the sine-Gordon expansion …

[HTML][HTML] New computational results for a prototype of an excitable system

H Ahmad, MN Alam, M Omri - Results in Physics, 2021 - Elsevier
This present paper uses a well known computational scheme such as the modified (G'/G)-
expansion method to the nonlinear predator–prey (NPP) system for forming new …

Soliton solutions for the time-fractional nonlinear differential-difference equation with conformable derivatives in the ferroelectric materials

Y Asghari, M Eslami, H Rezazadeh - Optical and Quantum Electronics, 2023 - Springer
The ultimate focus of this research is to provide soliton solutions to the nonlinear differential-
difference equations via conformable fractional derivatives which arise from the polarization …

Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line

MA Chowdhury, MM Miah, MA Iqbal… - The European Physical …, 2023 - Springer
In this study, the double (G′/G, 1/G)-expansion method is utilized for illustrating the
improved explicit integral solutions for the two of nonlinear evolution equations. To expose …

[HTML][HTML] Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method

M Khater, S Anwar, KU Tariq, MS Mohamed - AIP Advances, 2021 - pubs.aip.org
This paper investigates the analytical solutions of the perturbed nonlinear Schrödinger
equation through the modified Khater method. This method is considered one of the most …

[HTML][HTML] The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations

SN Ananna, PP Gharami, T An, M Asaduzzaman - Results in Physics, 2022 - Elsevier
The improved modified extended tanh-function (imETF) method is used to develop exact
traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony …

[HTML][HTML] An analytical technique to obtain traveling wave solutions to nonlinear models of fractional order

MDN Alam - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
Abstract The (3, 3, 3) time-fractional Zakharov–Kuznetsov (TFZK) equation demonstrates the
characteristic of traffic flows, the viscoelasticity waves, the material science, sound waves …

A new implementation of a novel analytical method for finding the analytical solutions of the (2+ 1)-dimensional KP-BBM equation

R Mia, MM Miah, MS Osman - Heliyon, 2023 - cell.com
In this work, we perform a comprehensive analytical study to find the novel exact traveling
wave solutions of the\(2+ 1\)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony …