Exponential decay of H1-localized solutions and stability of the train of N solitary waves for the Camassa-Holm equation.
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).
El Dika
Khaled
K
L.A.G.A. Institut Galilée, Université Paris-Nord, 93430 Villetaneuse, France.
Molinet
Luc
L