On the Peakon Solutions of Some Stochastic Nonlinear Evolution Equations
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
In this paper, stochastic Fornberg-Whitham and a stochastic Camassa-Holm (CH) type equations are studied. A Galilean transformation which previously used for a stochastic KdV equation is employed to transform the equations into their deterministic counterparts. Then (1/G')-expansion method is used to obtain analytical solutions. 2D, 3D, and contour graphs representing the peakon solutions have been plotted by assigning special values to the constants in the solutions via computer software. In addition, by giving different random values to the external noise, the effect of the noise on the wave-forms has been exhibited. The obtained results have been discussed in detail.
Description
Koc, Betul/0000-0001-7988-7326; Yokus, Asif/0000-0002-1460-8573; Taskesen, Hatice/0000-0003-1058-0507; Alaloush, Mohanad/0000-0002-2861-8895
Keywords
Stochastic Camassa-Holm Type Equation, Stochastic Fornberg-Whitham Equation, Exact Solution, Noise, (1/G ')-Expansion
Turkish CoHE Thesis Center URL
WoS Q
Q2
Scopus Q
Q2
Source
Volume
53
Issue
10