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The Effect of Stochastic Disturbance on the Solitary Waves

In: Markov Processes and Controlled Markov Chains

Author

Listed:
  • Junping Li

    (Changsha Railway University)

  • Zhenting Hou

    (Changsha Railway University)

  • Zaiming Liu

    (Changsha Railway University)

  • Weiguo Zhang

    (University of Shanghai for Science and Technology)

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.

Suggested Citation

  • Junping Li & Zhenting Hou & Zaiming Liu & Weiguo Zhang, 2002. "The Effect of Stochastic Disturbance on the Solitary Waves," Springer Books, in: Zhenting Hou & Jerzy A. Filar & Anyue Chen (ed.), Markov Processes and Controlled Markov Chains, chapter 0, pages 465-474, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-0265-0_29
    DOI: 10.1007/978-1-4613-0265-0_29
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