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Asymptotic dynamical equations for an ensemble of nonlinear dispersive waves

โœ Scribed by T. Kawahara; A. Jeffrey


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
850 KB
Volume
1
Category
Article
ISSN
0165-2125

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โœ Vladimir S. Buslaev; Catherine Sulem ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 401 KB

We study the long-time behavior of solutions of the nonlinear Schrรถdinger equation in one space dimension for initial conditions in a small neighborhood of a stable solitary wave. Under some hypothesis on the structure of the spectrum of the linearized operator, we prove that, asymptotically in time