Normal Form Coordinates for the KdV Equation Having Expansions in Terms of Pseudodifferential Operators

Author:

Kappeler ThomasORCID,Montalto Riccardo

Funder

Swiss National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference24 articles.

1. Baldi, P., Berti, M., Montalto, R.: KAM for autonomous quasi-linear perturbations of KdV. Annales de l’Institut H. Poincaré (C) Analyse non linéaire, 33, 1589–1638 (2016). https://doi.org/10.1016/j.anihpc.2015.07.003

2. Berti, M., Kappeler, T., Montalto, R.: Large KAM tori for perturbations of the defocusing NLS equation. Astérisque 403 (2018)

3. Berti, M., Kappeler, T., Montalto, R.: Large KAM Tori for Hamiltonian Quasi-Linear Perturbations of the KdV Equation. In preparation

4. Berti, M., Montalto, R.: Quasi-periodic standing wave solutions of gravity capillary standing water waves. Mem. Am. Math. Soc. MEMO 891. arXiv:1602.02411 (2016)

5. Dubrovin, B.: A periodic problem for the Korteweg–de Vries equation in a class of short range potentials. Funct. Anal. Appl. 9, 215–223 (1975)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators;Discrete and Continuous Dynamical Systems;2022

2. On the Stability of Periodic Multi-Solitons of the KdV Equation;Communications in Mathematical Physics;2021-05-11

3. Large KAM Tori for Quasi-linear Perturbations of KdV;Archive for Rational Mechanics and Analysis;2021-01-04

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