Stability in H1/2 of the sum of K solitons for the Benjamin–Ono equation

Stephen J. Gustafson, Hideo Takaoka, Tai‐Peng Tsai

Type: Article

Publication Date: 2009-01-01

Citations: 8

DOI: https://doi.org/10.1063/1.3032578

Abstract

This note proves the orbital stability in the energy space H1/2 of the sum of widely spaced 1-solitons for the Benjamin–Ono equation, with speeds arranged so as to avoid collisions.

Locations

Journal of Mathematical Physics - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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+	Complete integrability of the Benjamin-Ono equation by means of action-angle variables	1998	D. J. Kaup Taras I. Lakoba Yoshimasa Matsuno
+	The stability of internal solitary waves	1983	David Bennett Robert W. Brown S. E. Stansfield J. D. Stroughair Jerry L. Bona