Attractor for nonlinear Schrödinger equation coupling with stochastic weakly damped, forced KdV equation

DOI10.1007/s11464-008-0032-yzbMath1155.35449OpenAlexW1963656956MaRDI QIDQ1001307

Guolian Wang, Bo-ling Guo

Publication date: 17 February 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-008-0032-y

zbMATH Keywords

nonlinear Schrödinger equationadditive noiseKorteweg-de Vries (KdV) equation

Mathematics Subject Classification ID

Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Applications of stochastic analysis (to PDEs, etc.) (60H30) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• The initial-value problem for the Korteweg-de Vries equation
• Dynamics of coupled solitons
• Finite-dimensional behavior of global attractors for weakly damped and forced kdv equations coupling with nonlinear schrödinger equations

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