Normal form coordinates for the KdV equation having expansions in terms of pseudodifferential operators

DOI10.1007/s00220-019-03498-1zbMath1443.37055arXiv1812.05391OpenAlexW3100245744WikidataQ127590533 ScholiaQ127590533MaRDI QIDQ1986589

Riccardo Montalto, Thomas Kappeler

Publication date: 8 April 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05391

zbMATH Keywords

pseudodifferential operatorparadifferential operatorKdV equation on the torusquasi-linear perturbations

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

Related Items (3)

Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators ⋮ Large KAM tori for quasi-linear perturbations of KdV ⋮ On the stability of periodic multi-solitons of the KdV equation

Cites Work

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