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Stochastic Effects for the Reaction-Duffing Equation with Wick-Type Product

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  • Jin Hyuk Choi
  • SeungGwan Lee
  • Hyunsoo Kim

Abstract

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 , , and Brownian motion which are the solitary wave group velocities.

Suggested Citation

  • Jin Hyuk Choi & SeungGwan Lee & Hyunsoo Kim, 2016. "Stochastic Effects for the Reaction-Duffing Equation with Wick-Type Product," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-11, October.
  • Handle: RePEc:hin:jnlamp:9062343
    DOI: 10.1155/2016/9062343
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