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nlin.PS2005
Theory of Nonlinear Dispersive Waves and Selection of the Ground State
A. Soffer, M. I. Weinstein
A theory of time dependent nonlinear dispersive equations of the Schroedinger / Gross-Pitaevskii and Hartree type is developed. The short, intermediate and large time behavior is f…
nlin.PS2003
Selection of the ground state for nonlinear Schroedinger equations
A. Soffer, M. I. Weinstein
We prove for a class of nonlinear Schrödinger systems (NLS) having two nonlinear bound states that the (generic) large time behavior is characterized by decay of the excited state,…