Stability of mKdV breathers on the half-line

Autor:	Alejo, Miguel A., Cavalcante, Márcio, Corcho, Adán J.
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics 35Q55
Druh dokumentu:	Working Paper
Popis:	In this paper we study the stability problem for mKdV breathers on the left half-line. We are able to show that leftwards moving breathers, initially located far away from the origin, are strongly stable for the problem posed on the left half-line, when assuming homogeneous boundary conditions. The proof involves a Lyapunov functional which is almost conserved by the mKdV flow once we control some boundary terms which naturally arise. Comment: 17 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.02898 Zobrazit plný text záznamu View this record from Arxiv