Search Results - "Mohammed, Wael W"
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1
The soliton solutions for the (4 + 1)‐dimensional stochastic Fokas equation
Published in Mathematical methods in the applied sciences (01-04-2023)“…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…”
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2
Exact solitary wave propagations for the stochastic Burgers’ equation under the influence of white noise and its comparison with computational scheme
Published in Scientific reports (09-05-2024)“…In this manuscript, the well-known stochastic Burgers’ equation in under investigation numerically and analytically. The stochastic Burgers’ equation plays an…”
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3
The solitary solutions for the stochastic fractional Chen Lee Liu model perturbed by multiplicative noise in optical fibers and plasma physics
Published in Scientific reports (07-05-2024)“…In this paper, we consider the stochastic fractional Chen Lee Liu model (SFCLLM). We apply the mapping method in order to get hyperbolic, elliptic, rational…”
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4
Exact solutions of Hirota–Maccari system forced by multiplicative noise in the Itô sense
Published in Journal of low frequency noise, vibration, and active control (01-03-2022)“…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,…”
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5
The Analytical Solutions of Stochastic-Fractional Drinfel’d-Sokolov-Wilson Equations via (G′/G)-Expansion Method
Published in Symmetry (Basel) (01-10-2022)“…Fractional–stochastic Drinfel’d–Sokolov–Wilson equations (FSDSWEs) forced by multiplicative Brownian motion are assumed. This equation is employed in…”
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6
The Solitary Solutions for the Stochastic Jimbo–Miwa Equation Perturbed by White Noise
Published in Symmetry (Basel) (01-06-2023)“…We study the (3+1)-dimensional stochastic Jimbo–Miwa (SJM) equation induced by multiplicative white noise in the Itô sense. We employ the Riccati equation…”
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7
Fractional dynamics study: analytical solutions of modified Kordeweg-de Vries equation and coupled Burger’s equations using Aboodh transform
Published in Scientific reports (03-06-2024)“…The study examines the using of Aboodh residual power series method and the Aboodh transform iteration method (ATIM) to analyze modified Korteweg-de Vries…”
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The Analytical Solutions of the Stochastic mKdV Equation via the Mapping Method
Published in Mathematics (Basel) (01-11-2022)“…Here, we analyze the (2+1)-dimensional stochastic modified Kordeweg–de Vries (SmKdV) equation perturbed by multiplicative white noise in the Stratonovich…”
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9
The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method
Published in Advances in mathematical physics (16-08-2022)“…This article considers the stochastic fractional Radhakrishnan-Kundu-Lakshmanan equation (SFRKLE), which is a higher order nonlinear Schrödinger equation with…”
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10
Multiplicative Brownian Motion Stabilizes the Exact Stochastic Solutions of the Davey–Stewartson Equations
Published in Symmetry (Basel) (01-10-2022)“…In this article, the stochastic Davey–Stewartson equations (SDSEs) forced by multiplicative noise are addressed. We use the mapping method to find new…”
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11
The effect of multiplicative noise on the exact solutions of nonlinear Schrödinger equation
Published in AIMS mathematics (01-01-2021)“…We consider in this paper the stochastic nonlinear Schrödinger equation forced by multiplicative noise in the Itô sense. We use two different methods as…”
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12
Solitary Solutions for the Stochastic Fokas System Found in Monomode Optical Fibers
Published in Symmetry (Basel) (01-07-2023)“…The stochastic Fokas system (SFS), driven by multiplicative noise in the Itô sense, was investigated in this study. Novel trigonometric, rational, hyperbolic,…”
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13
Additive Noise Effects on the Stabilization of Fractional-Space Diffusion Equation Solutions
Published in Mathematics (Basel) (01-01-2022)“…This paper considers a class of stochastic fractional-space diffusion equations with polynomials. We establish a limiting equation that specifies the critical…”
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14
Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative
Published in Mathematics (Basel) (01-01-2023)“…In this paper, we consider the (4+1)-dimensional fractional Fokas equation (FFE) with an M-truncated derivative. The extended tanh–coth method and the Jacobi…”
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15
Abundant Solitary Wave Solutions for the Boiti–Leon–Manna–Pempinelli Equation with M-Truncated Derivative
Published in Axioms (01-05-2023)“…In this work, we consider the Boiti–Leon–Manna–Pempinelli equation with the M-truncated derivative (BLMPE-MTD). Our aim here is to obtain trigonometric,…”
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16
Impact of Brownian Motion on the Analytical Solutions of the Space-Fractional Stochastic Approximate Long Water Wave Equation
Published in Symmetry (Basel) (01-04-2022)“…The space-fractional stochastic approximate long water wave equation (SFSALWWE) is considered in this work. The Riccati equation method is used to get…”
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17
Effects of M-Truncated Derivative and Multiplicative Noise on the Exact Solutions of the Breaking Soliton Equation
Published in Symmetry (Basel) (01-01-2023)“…In this article, the fractional–space stochastic (2+1)-dimensional breaking soliton equation (SFSBSE) is taken into account in the sense of M-Truncated…”
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18
On the Dynamical Behavior of Solitary Waves for Coupled Stochastic Korteweg–De Vries Equations
Published in Mathematics (Basel) (01-08-2023)“…In this paper, we take into account the coupled stochastic Korteweg–De Vries (CSKdV) equations in the Itô sense. Using the mapping method, new trigonometric,…”
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19
The Impact of the Wiener Process on the Analytical Solutions of the Stochastic (2+1)-Dimensional Breaking Soliton Equation by Using Tanh–Coth Method
Published in Mathematics (Basel) (01-03-2022)“…The stochastic (2+1)-dimensional breaking soliton equation (SBSE) is considered in this article, which is forced by the Wiener process. To attain the…”
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20
The Influence of White Noise and the Beta Derivative on the Solutions of the BBM Equation
Published in Axioms (30-04-2023)“…In the current study, we investigate the stochastic Benjamin–Bona–Mahony equation with beta derivative (SBBME-BD). The considered stochastic term is the…”
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