Symmetry reductions and soliton-like solutions for stochastic MKdV equation

DOI10.1016/J.CHAOS.2005.04.018zbMath1072.35582OpenAlexW2042867668MaRDI QIDQ2484785

Yong-Hong Ren, Cai-Min Wei, Zun-Quan Xia

Publication date: 1 August 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.018

zbMATH Keywords

Wick productHida distributionHermite transformation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (2)

Some exact solutions for stochastic mKdV equation ⋮ Symbolic computation of exact solutions for the \((2 + 1)\)-dimensional generalized stochastic KP equation

Cites Work

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• A remark on the equivalence between Poisson and Gaussian stochastic partial differential equations
• Exact solutions for stochastic mKdV equations
• The stochastic soliton-like solutions of stochastic KdV equations
• Numerical simulation of the stochastic Korteweg-de Vries equation
• White noise driven Korteweg-de Vries equation
• Oblique derivative problems for second order nonlinear equations of mixed type in multiply connected domains
• New similarity reductions of the Boussinesq equation
• Deformation of Solitons in Random Media

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