The Effect of Stochastic Disturbance on the Solitary Waves

Junping Li, Zhenting Hou, Zaiming Liu and Weiguo Zhang
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Junping Li: Changsha Railway University
Zhenting Hou: Changsha Railway University
Zaiming Liu: Changsha Railway University
Weiguo Zhang: University of Shanghai for Science and Technology

Chapter Chapter 29 in Markov Processes and Controlled Markov Chains, 2002, pp 465-474 from Springer

Abstract: Abstract This paper is devoted to studying the effect of stochastic disturbance on the kink profile solitary wave solution of the equation: u tt - δu xxt - ku xx + au t + buu t = 0(δ > 0) by using the theory of Markov Skeleton processes established recently by Z.T. Hou, Z.M. Liu and J.Z. Zou [1]. The transition probability and stability of the solution are given.

Keywords: Markov Skeleton process; Stochastic disturbance; Kink profile solitary wave (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0265-0_29

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DOI: 10.1007/978-1-4613-0265-0_29

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