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WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity
Journal article   Open access   Peer reviewed

WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity

Rémi Carles and Clément Gallo
Mathematical Models and Methods in Applied Sciences, Vol.27(9), pp.1727-1742
2017

Abstract

We consider the semi-classical limit of nonlinear Schrodinger equations in the presence of both a polynomial nonlinearity and thederivative in space of a polynomial nonlinearity. By working in a class of analytic initial data, we do not have to assume any hyperbolicstructure on the (limiting) phase/amplitude system. The solution, its approximation, and the error estimates are considered in time dependent analyticregularity.
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