title: Exponential decay of H1-localized solutions and stability of the train of N solitary waves for the Camassa-Holm equation.
abstract: For the Camassa-Holm equation with kappa> or =0, we first prove that any global solution that is H1-localized and moves fast enough to the right decays exponentially in space uniformly with respect to time. We also prove that for kappa>0, a train of N solitary waves, which are sufficiently decoupled, is orbitally stable in H1(R).
authors.affiliation: L.A.G.A. Institut Galilée, Université Paris-Nord, 93430 Villetaneuse, France.
authors.forename: Khaled
authors.initials: K
authors.lastname: El Dika
authors.forename: Luc
authors.initials: L
authors.lastname: Molinet