1302.1215 (Scipio Cuccagna et al.)

The asymptotic stability of solitons in the cubic NLS equation on the
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Scipio Cuccagna, Dmitry E. Pelinovsky

We use the inverse scattering transform, the auto-Backlund transformation and the steepest descent method of Deift and Zhou to obtain the asymptotic stability of the solitons in the cubic NLS (nonlinear Schrodinger) equation.

View original: http://arxiv.org/abs/1302.1215