The effect of Brownian motion and noise strength on solutions of stochastic Bogoyavlenskii model alongside conformable fractional derivative

MT Islam, S Ryehan, FA Abdullah, JF Gómez-Aguilar - Optik, 2023 - Elsevier
Fractional order models involving nonlinearity are remarkable for having substantial
application in real-world. The present determination is due to obtain applicable wave …

A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application

XF Yang, ZC Deng, Y Wei - Advances in Difference equations, 2015 - Springer
Abstract The Riccati-Bernoulli sub-ODE method is firstly proposed to construct exact
traveling wave solutions, solitary wave solutions, and peaked wave solutions for nonlinear …

Exact solutions of Hirota–Maccari system forced by multiplicative noise in the Itô sense

WW Mohammed, H Ahmad… - Journal of Low …, 2022 - journals.sagepub.com
In this article, the stochastic Hirota–Maccari system forced in the Itô sense by multiplicative
noise is considered. We just use the He's semi-inverse method, sine–cosine method, and …

[HTML][HTML] The exact solutions of the stochastic Ginzburg–Landau equation

WW Mohammed, H Ahmad, AE Hamza, ES Aly… - Results in Physics, 2021 - Elsevier
The main goal of this paper is to obtain the exact solutions of the stochastic real-valued
Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense. It is …

The soliton solutions for the (4+ 1)‐dimensional stochastic Fokas equation

WW Mohammed, C Cesarano - Mathematical Methods in the …, 2023 - Wiley Online Library
In this paper, we look at the (4+ 1)‐dimensional stochastic Fokas equation (SFE) perturbed
in the Itô sense by white noise. The tanh‐coth method and mapping method are used to …

Exact solutions of the (2+ 1)-dimensional stochastic chiral nonlinear Schrödinger equation

S Albosaily, WW Mohammed, MA Aiyashi… - Symmetry, 2020 - mdpi.com
In this article, we take into account the (2+ 1)-dimensional stochastic Chiral nonlinear
Schrödinger equation (2D-SCNLSE) in the Itô sense by multiplicative noise. We acquired …

The Analytical Solutions of Stochastic-Fractional Drinfel'd-Sokolov-Wilson Equations via (G′/G)-Expansion Method

FM Al-Askar, C Cesarano, WW Mohammed - Symmetry, 2022 - mdpi.com
Fractional–stochastic Drinfel'd–Sokolov–Wilson equations (FSDSWEs) forced by
multiplicative Brownian motion are assumed. This equation is employed in mathematical …

The Impact of the Wiener process on the analytical solutions of the stochastic (2+ 1)-dimensional breaking soliton equation by using tanh–coth method

FM Al-Askar, WW Mohammed, AM Albalahi… - Mathematics, 2022 - mdpi.com
The stochastic (2+ 1)-dimensional breaking soliton equation (SBSE) is considered in this
article, which is forced by the Wiener process. To attain the analytical stochastic solutions …

Optical solitons in nematic liquid crystals with Kerr and parabolic law nonlinearities

N Raza, U Afzal, AR Butt, H Rezazadeh - Optical and Quantum Electronics, 2019 - Springer
In this work, a study is carried out to analyze nematicons in liquid crystals in the presence of
Kerr and parabolic law nonlinearity. Exp (− ϕ (ξ) ϕ (ξ))-Expansion method is incorporated in …

The analytical solutions of the stochastic fractional RKL equation via Jacobi elliptic function method

FM Al-Askar, WW Mohammed - Advances in Mathematical …, 2022 - Wiley Online Library
This article considers the stochastic fractional Radhakrishnan‐Kundu‐Lakshmanan
equation (SFRKLE), which is a higher order nonlinear Schrödinger equation with cubic …