Exact solutions for a variable coefficient and Wick-type stochastic long-short wave resonance equation

DOI10.1016/J.CNSNS.2008.03.002zbMath1221.60094OpenAlexW2009088127MaRDI QIDQ716681

Chengfeng Sun, Hong-Jun Gao

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.03.002

zbMATH Keywords

soliton-like solutionperiod solutionlong-short wave resonance equationWick-type noise

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• A remark on the equivalence between Poisson and Gaussian stochastic partial differential equations
• Exact solutions for stochastic KdV equations
• New exact Jacobian elliptic function solutions for Wick-type stochastic KdV equation
• Exact soliton-like solutions for stochastic combined Burgers-KdV equation
• Explicit and exact solutions for generalized long-short wave resonance equations with strong nonlinear term
• Deformation of Solitons in Random Media
• On two-dimensional packets of capillary-gravity waves

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