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Two asymptotic problems for a singular nonlinear Schrödinger system
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 132, Number 5, October 2010
- pp. 1311-1338
- 10.1353/ajm.2010.0003
- Article
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In this paper, we continue our investigation of the relation between
various systems that can be derived from the Klein-Gordon-Zakharov
system in the high-frequency and subsonic limits. In this paper we start
from the singular nonlinear Schr\"odinger system which was derived in a
previous work and derive the classical nonlinear Schr\"odinger system in
two different limit cases. These two nonlinear Schr\"odinger systems
have different coefficients in the nonlinearity