[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 …

Soliton solutions of the resonant nonlinear Schrödinger equation using modified auxiliary equation method with three different nonlinearities

G Akram, M Sadaf, MAU Khan - Mathematics and Computers in Simulation, 2023 - Elsevier
The dynamical behavior of the resonant nonlinear Schrödinger equation is investigated in
this paper. Resonant nonlinear Schrödinger equation describes the wave propagation in …

Optical soliton solutions of the cubic-quartic nonlinear Schrödinger and resonant nonlinear Schrödinger equation with the parabolic law

W Gao, HF Ismael, AM Husien, H Bulut, HM Baskonus - Applied Sciences, 2019 - mdpi.com
Featured Application The optical soliton solutions obtained in this research paper may be of
concern and useful in many fields of science, such as mathematical physics, applied …

Novel applications of intelligent computing paradigms for the analysis of nonlinear reactive transport model of the fluid in soft tissues and microvessels

I Ahmad, H Ilyas, A Urooj, MS Aslam, M Shoaib… - Neural Computing and …, 2019 - Springer
This article presents a methodology to solve a one-dimensional steady-state nonlinear
reactive transport model (RTM) that is meant for fluid and solute transport model of soft …

New traveling wave solutions for paraxial wave equation via two integrating techniques

S Arshed, G Akram, M Sadaf, H Shadab - Optical and Quantum Electronics, 2024 - Springer
The purpose of the presented work is to obtain the exact solutions of the Paraxial wave
equation using two different methods, the modified auxiliary equation method and G′ G, 1 …

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 …

New investigation of the analytical behaviors for some nonlinear PDEs in mathematical physics and modern engineering

AH Ganie, LH Sadek, MM Tharwat, MA Iqbal… - … Differential Equations in …, 2024 - Elsevier
Numerous complex situations arising from science and engineering are modeled by integral-
differential equations (IDEs). Examples of these situations include mathematical modeling of …

[HTML][HTML] On the modified (G′ G2)-expansion method for finding some analytical solutions of the traveling waves

S Behera, NH Aljahdaly, JPS Virdi - Journal of Ocean Engineering and …, 2022 - Elsevier
This work investigates three nonlinear equations that describe waves on the oceans which
are the Kadomtsev Petviashvili-modified equal width (KP-MEW) equation, the coupled …

Further advanced investigation of the complex Hirota-dynamical model to extract soliton solutions

MM Rasid, MM Miah, AH Ganie, HM Alshehri… - … Physics Letters B, 2024 - World Scientific
The complex Hirota-dynamical model (CHDM) has applications in the study of plasma
physics, the investigation of fusion energy, astrophysical research, and space studies. The …

Nonlinear evolution equations and their traveling wave solutions in fluid media by modified analytical method

S Behera, NH Aljahdaly - Pramana, 2023 - Springer
This investigation proposes the novelty of the modified (G′ G 2)-expansion method to look
for new exact traveling wave solutions to two important nonlinear evolution equations such …