Stochastic solitons in birefringent fibers for Biswas–Arshed equation with multiplicative white noise via Itô calculus by modified extended mapping method

Y Alhojilan, HM Ahmed, WB Rabie - Symmetry, 2023 - mdpi.com
Stochastic partial differential equations have wide applications in various fields of science
and engineering. This paper addresses the optical stochastic solitons and other exact …

Solitons and other nonlinear waves for stochastic Schrödinger‐Hirota model using improved modified extended tanh‐function approach

MF Shehab, MMA El‐Sheikh… - … Methods in the …, 2023 - Wiley Online Library
The improved modified extended tanh‐function approach was used to study optical
stochastic soliton solutions and other exact stochastic solutions for the nonlinear …

The analytical solutions of the stochastic fractional Kuramoto–Sivashinsky equation by using the Riccati equation method

WW Mohammed, AM Albalahi… - Mathematical …, 2022 - Wiley Online Library
In this work, we consider the stochastic fractional‐space Kuramoto–Sivashinsky equation
using conformable derivative. The Riccati equation method is used to get the analytical …

Soliton Solutions of Generalized Third Order Time‐Fractional KdV Models Using Extended He‐Laplace Algorithm

M Qayyum, E Ahmad, S Afzal, S Acharya - Complexity, 2022 - Wiley Online Library
In this research, the He‐Laplace algorithm is extended to generalized third order, time‐
fractional, Korteweg‐de Vries (KdV) models. In this algorithm, the Laplace transform is …

Numerical solutions of a differential system considering a pure hybrid fuzzy neutral delay theory

PB Dhandapani, J Thippan, C Martin-Barreiro, V Leiva… - Electronics, 2022 - mdpi.com
In this paper, we propose and derive a new system called pure hybrid fuzzy neutral delay
differential equations. We apply the classical fourth-order Runge–Kutta method (RK-4) to …

Novel improved fractional operators and their scientific applications

AA Hyder, MA Barakat - Advances in Difference Equations, 2021 - Springer
The motivation of this research is to introduce some new fractional operators called “the
improved fractional (IF) operators”. The originality of these fractional operators comes from …

The influence of the differential conformable operators through modern exact solutions of the double Schrödinger-Boussinesq system

AA Hyder - Physica Scripta, 2021 - iopscience.iop.org
This paper discusses the influence of newly differential conformable operators (DCOs) on
the behavior of the nonlinear evolutionary systems through their exact solutions. For this …

[HTML][HTML] Exploration of Soliton Solutions to the Special Korteweg–De Vries Equation with a Stability Analysis and Modulation Instability

A Alomair, AS Al Naim, A Bekir - Mathematics, 2024 - mdpi.com
This work is concerned with Hirota bilinear, exp a function, and Sardar sub-equation
methods to find the breather-wave, 1-Soliton, 2-Soliton, three-wave, and new periodic-wave …

[PDF][PDF] Solving the conformable Huxley equation using the complex method

G Dang, Q Liu - Electron. Res. Arch, 2023 - aimspress.com
We apply the complex method to build new exact solutions for the conformable Huxley
equation. The results show that abundant new exact solutions were constructed, which …

Novel improved fractional operators and their scientific applications

H Abd-Allah, MA Barakat - Advances in Difference Equations, 2021 - search.proquest.com
The motivation of this research is to introduce some new fractional operators called “the
improved fractional (IF) operators”. The originality of these fractional operators comes from …