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|Type:||Artigo de periódico|
|Title:||Orbital stability of double solitons for the Benjamin-Ono equation|
|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 . 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.|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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