On the Stability of Periodic Multi-Solitons of the KdV Equation

In this paper we obtain the following stability result for periodic multi-solitons of the KdV equation: We prove that under any given semilinear Hamiltonian perturbation of small size [Formula: see text] , a large class of periodic multi-solitons of the KdV equation, including ones of large amplitud...

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Detalles Bibliográficos
Autores principales: Kappeler, Thomas, Montalto, Riccardo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550510/
https://www.ncbi.nlm.nih.gov/pubmed/34776523
http://dx.doi.org/10.1007/s00220-021-04089-9
Descripción
Sumario:In this paper we obtain the following stability result for periodic multi-solitons of the KdV equation: We prove that under any given semilinear Hamiltonian perturbation of small size [Formula: see text] , a large class of periodic multi-solitons of the KdV equation, including ones of large amplitude, are orbitally stable for a time interval of length at least [Formula: see text] . To the best of our knowledge, this is the first stability result of such type for periodic multi-solitons of large size of an integrable PDE.

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