INVARIANT ASYMPTOTICALLY STABLE TORI OF THE PERTURBED KORTEWEG-DE VRIES EQUATION

DOI10.1070/RM1980v035n05ABEH001929zbMath0467.35077OpenAlexW1969223403MaRDI QIDQ3920073

N. V. Nikolenko

Publication date: 1980

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1980v035n05abeh001929

zbMATH Keywords

periodic solutionsKorteweg-de Vries equationinvariant torishift operatornon-linear Schrödinger equationbifurcation of invariant toribifurcation of fixed pointsasymptotically stable invariant tori

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) PDEs with randomness, stochastic partial differential equations (35R60) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Bifurcations in context of PDEs (35B32)

Related Items (3)

Linearization and normal form of the Navier-Stokes equations with potential forces ⋮ Bifurcations in the generalized Korteweg-de Vries equation ⋮ Bifurcation of a stable invariant torus from an equilibrium

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