El Dika Khaled, Molinet Luc
L.A.G.A. Institut Galilée, Université Paris-Nord, 93430 Villetaneuse, France.
Philos Trans A Math Phys Eng Sci. 2007 Sep 15;365(1858):2313-31. doi: 10.1098/rsta.2007.2011.
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).
对于κ≥0的Camassa-Holm方程，我们首先证明，任何在H1中局部化且向右移动足够快的全局解在空间中关于时间一致指数衰减。我们还证明，对于κ>0，一列充分解耦的N个孤立波在H1(R)中轨道稳定。
