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

DOI10.1016/j.amc.2010.05.100zbMath1202.60100OpenAlexW2040754093MaRDI QIDQ711297

Qing Liu, Jia-Cheng Lan, Zi-Hua Wang, Hong-Yu Wu

Publication date: 25 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.100

zbMATH Keywords

exact solutionwhite noisegeneralized Broer-Kaup systemprojective Riccati equation mapping methodWick-type stochastic equation

Mathematics Subject Classification ID

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

Related Items (2)

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
• Three types of exact solutions to Wick-type generalized stochastic Korteweg-de Vries equation
• Periodic-like solutions of variable coefficient and Wick-type stochastic NLS equations
• A modified variable-coefficient projective Riccati equation method and its application to \((2 + 1)\)-dimensional simplified generalized Broer-Kaup system
• 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
• Variable-coefficient projective Riccati equation method and its application to a new (2 + 1)-dimensional simplified generalized Broer-Kaup system
• 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

This page was built for publication: 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