Hyperbolic white noise functional solutions of Wick-type stochastic compound KdV-Burgers equations

DOI10.1016/j.chaos.2007.06.087zbMath1197.35225OpenAlexW2083137629MaRDI QIDQ712070

Yingchao Xie, Xiu Han

Publication date: 28 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.06.087

zbMATH Keywords

hyperbolic function methodHermite transformhyperbolic white noise functional solutionsWick-type stochastic compound KdV-Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) PDEs with randomness, stochastic partial differential equations (35R60) Solutions to PDEs in closed form (35C05)

Related Items (1)

Fundamental solutions of singular SPDEs

Cites Work

• A remark on the equivalence between Poisson and Gaussian stochastic partial differential equations
• A note on solitary-wave solutions to compound KdV-Burgers equations
• An auto-Bäcklund transformation and exact solutions of stochastic Wick-type Sawada-Kotera equations
• Exact solutions for stochastic KdV equations
• Positonic solutions for Wick-type stochastic KdV equations
• Exact solutions of the Wick-type stochastic Kadomtsev-Petviashvili equations
• Travelling solitary wave solutions to a compound KdV-Burgers equation.
• New explicit and exact solutions for a compound KdV-Burgers equation.
• Exact solutions for the Wick-type stochastic 2-dimensional KdV equations with dissipation
• Exact solutions of the Wick-type stochastic mKP equation
• Deformation of Solitons in Random Media
• An auto-Bäcklund transformation and exact solutions for Wick-type stochastic generalized KdV equations
• Unnamed Item

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