[HTML][HTML] Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method

HH Hussein, HM Ahmed, W Alexan - Ain Shams Engineering Journal, 2024 - Elsevier
In this paper, the improved modified extended Tanh function technique is used to find
analytical solutions to the cubic-quartic Lakshmanan-Porsezian-Daniel model which …

Stability Analysis, Modulation Instability, and Beta-Time Fractional Exact Soliton Solutions to the Van der Waals Equation.

H Qawaqneh, J Manafian, M Alharthi… - Mathematics (2227 …, 2024 - search.ebscohost.com
The study consists of the distinct types of the exact soliton solutions to an important model
called the beta-time fractional (1+ 1)-dimensional non-linear Van der Waals equation. This …

[HTML][HTML] Abundant solitons for highly dispersive nonlinear Schrödinger equation with sextic-power law refractive index using modified extended direct algebraic …

WB Rabie, HH Hussein, HM Ahmed… - Alexandria Engineering …, 2024 - Elsevier
In this paper, we investigate soliton solutions and other exact solutions of the highly
dispersive perturbed nonlinear Schrödinger equation having Kudryashov's arbitrary form …

Existence of novel analytical soliton solutions in a magneto-electro-elastic annular bar for the longitudinal wave equation

HH Hussein, KK Ahmed, HM Ahmed, A Elsheikh… - Optical and Quantum …, 2024 - Springer
In this paper, a novel application of the improved modified extended tanh function has been
implemented to derive analytical solutions for the longitudinal wave equation in a magneto …

Extraction new solitons and other exact solutions for nonlinear stochastic concatenation model by modified extended direct algebraic method

MF Shehab, M El-Sheikh, HM Ahmed… - Optical and Quantum …, 2024 - Springer
The optical soliton and exact solutions of the stochastic concatenation model are obtained
by using the modified extended direct algebraic method. This method provides a wide …

Propagation of optical solitons to the fractional resonant Davey-Stewartson equations

U Younas, J Muhammad, H Rezazadeh… - International Journal of …, 2024 - Springer
In this work, we investigate the exact solutions of (2+ 1)-dimensional coupled resonant
Davey-Stewartson equation (DSE) with the properties of truncated M-fractional derivative. It …

[HTML][HTML] Unraveling solitons dynamics in system of dispersive NLSE with Kudryashov's law of nonlinearity using improved modified extended tanh function method

I Samir, E Salah, EA El-Dahab, HM Ahmed… - Alexandria Engineering …, 2024 - Elsevier
In this work, the dynamics for coupled system of dispersive nonlinear Schrödinger equation
with Kudryashov's law of nonlinearity are studied with the aid of improved modified extended …

Optical fractional solitonic structures to decoupled nonlinear Schrödinger equation arising in dual-core optical fibers

U Younas, J Muhammad, HF Ismael… - … Physics Letters B, 2025 - World Scientific
This paper explores a specific class of equations that model the propagation of optical
pulses in dual-core optical fibers. The decoupled nonlinear Schrödinger equation with …

On the investigation of fractional coupled nonlinear integrable dynamical system: Dynamics of soliton solutions

J Muhammad, U Younas, H Rezazadeh… - … Physics Letters B, 2024 - World Scientific
The primary focus of this paper is the investigation of the truncated M fractional Kuralay
equation, which finds applicability in various domains such as engineering, nonlinear optics …

Bright soliton of the third-order nonlinear Schrödinger equation with power law of self-phase modulation in the absence of chromatic dispersion

SA Durmus, N Ozdemir, A Secer, M Ozisik… - Optical and Quantum …, 2024 - Springer
In this article, we are interested in two principal topics. First, the bright optical soliton
solutions of the third-order (1+ 1)-nonlinear Schrödinger equation including power law …