Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise

DOI10.3934/DCDS.2010.26.857zbMath1185.35246arXiv0801.3894OpenAlexW3104781767MaRDI QIDQ2379717

Eric Gautier, Anne de Bouard

Publication date: 22 March 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3894

zbMATH Keywords

stochastic partial differential equationssolitonlarge deviationsKorteweg-de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Soliton solutions (35C08)

Related Items (5)

Exit Times and Persistence of Solitons for a Stochastic Korteweg–de Vries Equation ⋮ Generalized regularized long wave equation with white noise dispersion ⋮ Multi solitary waves to stochastic nonlinear Schrödinger equations ⋮ Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time ⋮ Stability of Traveling Waves on Exponentially Long Timescales in Stochastic Reaction-Diffusion Equations

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