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White Noise Functional Solutions for Wick-Type Stochastic Fractional Mixed KdV-mKdV Equation Using Extended - Expansion Method

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  • Zhao Li
  • Peng Li
  • Tianyong Han

Abstract

In this paper, white noise functional solutions of Wick-type stochastic fractional mixed KdV-mKdV equations have been obtained by using the extended - expansion method and the Hermite transform. Firstly, the Hermite transform is used to transform Wick-type stochastic fractional mixed KdV-mKdV equations into deterministic fractional mixed KdV-mKdV equations. Secondly, the exact traveling wave solutions of deterministic fractional mixed KdV-mKdV equations are constructed by applying the extended - expansion method. Finally, a series of white noise functional solutions are obtained by the inverse Hermite transform.

Suggested Citation

  • Zhao Li & Peng Li & Tianyong Han, 2021. "White Noise Functional Solutions for Wick-Type Stochastic Fractional Mixed KdV-mKdV Equation Using Extended - Expansion Method," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-6, December.
    • Handle: RePEc:hin:jnlamp:9729905
    DOI: 10.1155/2021/9729905
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    Cited by:

    1. Han, Tianyong & Li, Zhao & Shi, Kaibo & Wu, Guo-Cheng, 2022. "Bifurcation and traveling wave solutions of stochastic Manakov model with multiplicative white noise in birefringent fibers," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    2. Qi, Jianming & Cui, Qinghua & Bai, Leiqiang & Sun, Yiqun, 2024. "Investigating exact solutions, sensitivity, and chaotic behavior of multi-fractional order stochastic Davey–Sewartson equations for hydrodynamics research applications," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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