White Noise Functional Solutions for Wick-Type Stochastic Fractional Mixed KdV-mKdV Equation Using Extended - Expansion Method

Zhao Li, Peng Li and Tianyong Han

Advances in Mathematical Physics, 2021, vol. 2021, 1-6

Abstract:

In this paper, white noise functional solutions of Wick-type stochastic fractional mixed KdV-mKdV equations have been obtained by using the extended - expansion method and the Hermite transform. Firstly, the Hermite transform is used to transform Wick-type stochastic fractional mixed KdV-mKdV equations into deterministic fractional mixed KdV-mKdV equations. Secondly, the exact traveling wave solutions of deterministic fractional mixed KdV-mKdV equations are constructed by applying the extended - expansion method. Finally, a series of white noise functional solutions are obtained by the inverse Hermite transform.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:9729905

DOI: 10.1155/2021/9729905

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