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New analytic solutions of stochastic coupled KdV equations

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  • Dai, Chaoqing
  • Chen, Junlang

Abstract

In this paper, firstly, we use the exp-function method to seek new exact solutions of the Riccati equation. Then, with the help of Hermit transformation, we employ the Riccati equation and its new exact solutions to find new analytic solutions of the stochastic coupled KdV equation in the white noise environment. As some special examples, some analytic solutions can degenerate into these solutions reported in open literatures.

Suggested Citation

  • Dai, Chaoqing & Chen, Junlang, 2009. "New analytic solutions of stochastic coupled KdV equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2200-2207.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2200-2207
    DOI: 10.1016/j.chaos.2009.03.157
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    References listed on IDEAS

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    1. Chen, Yong & Wang, Qi & Li, Biao, 2005. "The stochastic soliton-like solutions of stochastic KdV equations," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1465-1473.
    2. Liu, Qing, 2008. "Uniformly constructing a series of exact solutions for (2+1)-dimensional stochastic Broer–Kaup system," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1037-1043.
    3. Ma, Zheng-Yi & Zhu, Jia-Min, 2007. "Jacobian elliptic function expansion solutions for the Wick-type stochastic coupled KdV equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1679-1685.
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