Exact Solitary Wave Solutions for Wick-type Stochastic (2+1)-dimensional Coupled KdV equations

Hossam A. Ghany; M. Zakarya

Exact Solitary Wave Solutions for Wick-type Stochastic (2+1)-dimensional Coupled KdV equations

Authors

Hossam A. Ghany Department of Mathematics, Helwan University, Cairo (11282), Egypt. https://orcid.org/0009-0005-3174-762X
M. Zakarya Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut (71524), Egypt https://orcid.org/0009-0005-3174-762X

Keywords:

KdV equations; F-expansion method; Hermite transform; Wick product.

Abstract

Variable coefficients and Wick-type stochastic (2+1)-dimensional coupled KdV equations are investigated. By using the F-expansion method , Hermite transform and white noise theory, the white noise functional solutions for Wick-type stochastic (2+1)- dimensional coupled KdV equations are obtained. The exact travelling wave solutions are expressed in terms of Jacobi elliptic (JEF), trigonometric and hyperbolic functions.

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Published

2021-08-09

How to Cite

Hossam A. Ghany, & M. Zakarya. (2021). Exact Solitary Wave Solutions for Wick-type Stochastic (2+1)-dimensional Coupled KdV equations. Journal of Computational Analysis and Applications (JoCAAA), 29(4), 617–633. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/176