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Exact solutions for the Wick-type stochastic Kersten-Krasil’shchik coupled KdV-mKdV equations

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Abstract.

In this article, exact solutions of Wick-type stochastic Kersten-Krasil’shchik coupled KdV-mKdV equations have been obtained by using the Jacobian elliptic function expansion method. We have used the Hermite transform for transforming the Wick-type stochastic Kersten-Krasil’shchik coupled KdV-mKdV equation into a deterministic partial differential equation. Also, we have applied the inverse Hermite transform for obtaining a set of stochastic solutions in the white noise space.

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Authors and Affiliations

  1. National Institute of Technology Rourkela, Department of Mathematics, 769008, Rourkela, India

    S. Singh & S. Saha Ray

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  1. S. Singh
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  2. S. Saha Ray
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Correspondence to S. Saha Ray.

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Singh, S., Saha Ray, S. Exact solutions for the Wick-type stochastic Kersten-Krasil’shchik coupled KdV-mKdV equations. Eur. Phys. J. Plus 132, 480 (2017). https://doi.org/10.1140/epjp/i2017-11761-8

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  • DOI: https://doi.org/10.1140/epjp/i2017-11761-8

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