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Type: Artigo de periódico
Title: Orbital stability of double solitons for the Benjamin-Ono equation
Author: Neves, A
Lopes, O
Abstract: In this paper we prove the orbital stability of double solitons for the Benjamin-Ono equation. In the case of the KdV equation, this stability has been proved in [17]. Parts of the proof given there rely on the fact that the Euler-Lagrange equations for the conserved quantities of the KdV equation are ordinary differential equations. Since this is not the case for the Benjamin-Ono equation, new methods are required. Our approach consists in using a new invariant for multi-solitons, and certain new identities motivated by the Sylvester Law of Inertia.
Country: EUA
Editor: Springer
Citation: Communications In Mathematical Physics. Springer, v. 262, n. 3, n. 757, n. 791, 2006.
Rights: fechado
Identifier DOI: 10.1007/s00220-005-1484-5
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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