https://doi.org/10.1140/epjp/i2017-11761-8
Regular Article
Exact solutions for the Wick-type stochastic Kersten-Krasil’shchik coupled KdV-mKdV equations
National Institute of Technology Rourkela, Department of Mathematics, 769008, Rourkela, India
* e-mail: santanusaharay@yahoo.com
Received:
28
August
2017
Accepted:
8
October
2017
Published online:
21
November
2017
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017
