Hyperbolic white noise functional solutions of Wick-type stochastic compound KdV–Burgers equations

Xiu Han and Yingchao Xie

Chaos, Solitons & Fractals, 2009, vol. 39, issue 4, 1715-1720

Abstract: Variable coefficient and Wick-type stochastic compound KdV–Burgers equations are investigated. By using white noise analysis, Hermite transform and the hyperbolic function method, we obtain a number of Wick versions of hyperbolic white noise functional solutions and hyperbolic function solutions for Wick-type stochastic and variable coefficient compound KdV–Burgers equations, respectively.

Keywords: Wick-type stochastic compound KdV–Burgers equation; Hyperbolic white noise functional solutions; Hermite transform; Hyperbolic function method (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:4:p:1715-1720

DOI: 10.1016/j.chaos.2007.06.087

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