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Non-Gaussian White Noise Functional Solutions of χ -Wick-Type Stochastic KdV Equations |
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PP: 915-924 |
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doi:10.18576/amis/110332
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Author(s) |
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Hossam A. Ghany,
Abd-Allah Hyder,
M. Zakarya,
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Abstract |
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| In this paper, KdV equations with variable coefficients and Wick-type stochastic KdV equations are investigated. White noise functional solutions are shown by Hermite transform, homogeneous balance principle and F-expansion method. By means of the direct connection between the theory of hypercomplex systems and white noise analysis, we setup a full framework to study the stochastic partial differential equations with non-Gaussian parameters. Using this framework and F-expansion method, we present multiple families of exact and stochastic travelling wave solutions for the variable coefficients KdV equations and the stochastic KdV equations with non-Gaussian parameters, respectively. These solutions include functional solutions of Jacobi elliptic functions (JEFs), trigonometric and hyperbolic types. |
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