Discovering new abundant optical solutions for the resonant nonlinear Schrödinger equation using an analytical technique

MN Hossain, MM Miah, AH Ganie, MS Osman… - Optical and Quantum …, 2024 - Springer
In our exploration of optical physics, the intricate resonant nonlinear Schrödinger (NLS)
equation featuring dual-power law nonlinearity is investigated which is an equation of …

Chirped optical solitons and stability analysis of the nonlinear Schrödinger equation with nonlinear chromatic dispersion

T Mathanaranjan, MS Hashemi… - Communications in …, 2023 - iopscience.iop.org
The present paper aims to investigate the chirped optical soliton solutions of the nonlinear
Schrödinger equation with nonlinear chromatic dispersion and quadratic-cubic law of …

The formation of invariant optical soliton structures to electric-signal in the telegraph lines on basis of the tunnel diode and chaos visualization, conserved quantities …

WA Faridi, M Iqbal, B Ramzan, SA AlQahtani… - Optik, 2024 - Elsevier
This study critically examines the nonlinear Lonngren wave model, a mathematical
representation used to describe waves in shallow water environments such as beaches …

Extracting the ultimate new soliton solutions of some nonlinear time fractional PDEs via the conformable fractional derivative

MA Iqbal, AH Ganie, MM Miah, MS Osman - Fractal and Fractional, 2024 - mdpi.com
Nonlinear fractional-order differential equations have an important role in various branches
of applied science and fractional engineering. This research paper shows the practical …

A variety of soliton solutions of time M-fractional: Non-linear models via a unified technique

MM Roshid, MM Rahman, HO Roshid, MH Bashar - Plos one, 2024 - journals.plos.org
This work explores diverse novel soliton solutions of two fractional nonlinear models,
namely the truncated time M-fractional Chafee-Infante (tM-fCI) and truncated time M …

[HTML][HTML] Exact soliton solutions and stability analysis to (3+ 1)-dimensional nonlinear Schrödinger model

A Ali, J Ahmad, S Javed - Alexandria Engineering Journal, 2023 - Elsevier
In this research, a dynamical (3+ 1)-dimensional nonlinear Schrödinger model (NLSM) is
under consideration which is used to model the propagation of ultra-short optical pulses in …

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 …

The explicit power series solution formation and computationof Lie point infinitesimals generators: Lie symmetry approach

WA Faridi, SA AlQahtani - Physica Scripta, 2023 - iopscience.iop.org
This work scrutinizes the well-known nonlinear non-classical Sobolev-type wave model
which addresses the fluid flow via fractured rock, thermodynamics and many other fields of …

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 …

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 …