An averaging theorem for a perturbed KdV equation

DOI10.1088/0951-7715/26/6/1599zbMath1291.35285arXiv1301.1585OpenAlexW2962981471MaRDI QIDQ2839487

Huang Guan

Publication date: 11 July 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1585

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Averaging method for ordinary differential equations (34C29) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (3)

An averaging theorem for nonlinear Schrödinger equations with small nonlinearities ⋮ A large probability averaging theorem for the defocusing NLS ⋮ On longtime dynamics of perturbed KdV equations

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