Three types of exact solutions to Wick-type generalized stochastic Korteweg-de Vries equation

DOI10.1016/j.amc.2009.10.014zbMath1181.60097OpenAlexW1979810123MaRDI QIDQ846460

Zi-Hua Wang, Dong-Li Jia, Qing Liu

Publication date: 9 February 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.014

zbMATH Keywords

exact solutionwhite noiseWick-type stochastic equationgeneralized stochastic Korteweg-de Vries equationRiccati equation mapping method

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (6)

Stochastic exact solutions of the Wick-type stochastic NLS equation ⋮ Fan sub-equation method for Wick-type stochastic partial differential equations ⋮ 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 ⋮ 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

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• Periodic-like solutions of variable coefficient and Wick-type stochastic NLS equations
• 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
• Exact solutions for stochastic mKdV equations
• Numerical simulation of the stochastic Korteweg-de Vries equation
• Exact solutions for stochastic KdV equations
• White noise driven Korteweg-de Vries equation
• White noise functional solutions of Wick-type stochastic generalized Hirota-Satsuma coupled KdV equations
• A modified Jacobi elliptic function expansion method and its application to Wick-type stochastic KdV equation
• Some exact solutions for stochastic mKdV equation
• Uniformly constructing a series of exact solutions for \((2+1)\)-dimensional stochastic Broer-Kaup system
• New exact Jacobian elliptic function solutions for Wick-type stochastic KdV equation
• The Elliptic Equation Mapping Method and Its Application to Stochastic Korteweg–de Vries Equation
• Deformation of Solitons in Random Media
• On a Generalization of a Stochastic Integral

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