Long-time dynamics of Korteweg-de Vries solitons driven by random perturbations

DOI10.1023/A:1013549126956zbMath0999.35086OpenAlexW2138150151MaRDI QIDQ5956977

Josselin Garnier

Publication date: 26 February 2002

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013549126956

zbMATH Keywords

randomly perturbed Korteweg-de Vries equationtransmission of a soliton in a random medium

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

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