Some exact solutions for stochastic mKdV equation

DOI10.1016/j.chaos.2005.11.044zbMath1130.35139OpenAlexW2025422561MaRDI QIDQ2466582

Qing Liu

Publication date: 15 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.11.044

zbMATH Keywords

white noiseHermite transformMita testWick type

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) Solutions to PDEs in closed form (35C05)

Related Items (6)

Three types of exact solutions to Wick-type generalized stochastic Korteweg-de Vries equation ⋮ Exact solutions of Wick-type stochastic equations with variable coefficients ⋮ A series of exact solutions for (2 + 1)-dimensional Wick-type stochastic generalized Broer-Kaup system via a modified variable-coefficient projective Riccati equation mapping method ⋮ Auxiliary equation method for solving nonlinear Wick-type partial differential equations ⋮ THE RATIONAL SOLUTIONS TO A GENERALIZED RICCATI EQUATION AND THEIR APPLICATION ⋮ A MULTIPLE RICCATI EQUATIONS RATIONAL-EXPONENT METHOD AND ITS APPLICATION TO WHITHAM–BROER–KAUP EQUATION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stochastic Korteweg-de Vries equation
• The stochastic Korteweg-de Vries equation in \(L^2(\mathbb{R})\)
• A remark on the equivalence between Poisson and Gaussian stochastic partial differential equations
• Numerical simulation of the stochastic Korteweg-de Vries equation
• Exact solutions for stochastic KdV equations
• Positonic solutions for Wick-type stochastic KdV equations
• White noise driven Korteweg-de Vries equation
• Symmetry reductions and soliton-like solutions for stochastic MKdV equation
• Deformation of Solitons in Random Media

This page was built for publication: Some exact solutions for stochastic mKdV equation