Linear stability of elastic 2-line solitons for the KP-II equation

Autor:	Mizumachi, Tetsu
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Primary 35B35 37K40 Secondary 35Q35
Druh dokumentu:	Working Paper
Popis:	The KP-II equation was derived by Kadomtsev and Petviashvili to explain stability of line solitary waves of shallow water. Using the Darboux transformations, we study linear stability of 2-line solitons whose line solitons interact elastically each other. Time evolution of resonant continuous eigenfunctions is described by a damped wave equation in the transverse variable which is supposed to be a linear approximation of the local phase shifts of modulating line solitons. Comment: To appear in Quarterly of Applied Mathematics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.09932 Zobrazit plný text záznamu View this record from Arxiv