Exact soliton-like solutions for stochastic combined Burgers–KdV equation

Cai-Min Wei and Zun-Quan Xia

Chaos, Solitons & Fractals, 2005, vol. 26, issue 2, 329-336

Abstract: In this paper, by using symmetry reduction, the stochastic Wick-type combined Burgers–KdV equation is reduced to nonlinear stochastic ordinary differential equation (NSODE), which contains the Jacobian elliptic equation and Painlevé type II equation. Based on this so obtained NSODE, some stochastic Wick-type exact soliton-like solutions are given via Hermite transformation.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:2:p:329-336

DOI: 10.1016/j.chaos.2004.12.025

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