Hydrodynamic approach to constructing solutions of Hydrodynamic approach to constructing solutions of nonlinear Schrödinger equation in the critical case

Details Hydrodynamic approach to constructing solutions of Hydrodynamic approach to constructing solutions of nonlinear Schrödinger equation in the critical case Hydrodynamic approach to constructing solutions of Hydrodynamic approach to constructing solutions of nonlinear Schrödinger equation in the critical case

2004-12-04

arxiv.org/abs/math/0412088v1

Proc. Amer. Math. Soc. 133 (2005), 2347-2358.

Mathematics

Analysis of PDEs

11 pages. Proc.Amer.Math.Soc.(in press)

Scientific paper

Proceeding from the hydrodynamic approach, we construct exact solutions to
nonlinear Schr\"odinger equation with special properties. The solutions
describe collapse, in finite time, and scattering, over infinite time, of wave
packets. They generalize known blow-up solutions based on the "ground state."

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