Stochastic effects for the reaction-Duffing equation with Wick-type product
type: Item
instance of: scholarly article
title: Stochastic effects for the reaction-Duffing equation with Wick-type product
zbMATH Open document ID: 1372.35381
DOI: 10.1155/2016/9062343
author: Jin Hyuk Choi
author: SeungGwan Lee
author: Hyunsoo Kim
published in: Advances in Mathematical Physics
publication date: 2017-01-17T00:00:00Z
review text: Summary: We construct new explicit solutions of the Wick-type stochastic reaction-Duffing equation arising from mathematical physics with the help of the white noise theory and the system technique. Based on these exact solutions, we also discuss the influences of stochastic effects for dynamical behaviors according to functions \(h_1(t)\), \(h_2(t)\), and Brownian motion \(B(t)\) which are the solitary wave group velocities.
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 6675498
zbMATH Keywords: stochastic reaction-Duffing equation
zbMATH Keywords: Wick-type product
zbMATH Keywords: explicit solutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/9062343
OpenAlex ID: W2531693412
Wikidata QID: Q59122583
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description: scientific article; zbMATH DE number 6675498