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arXiv · 1612.04149

WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity

Rémi Carles·Clément Gallo
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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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Rémi Carles, Clément Gallo. 2016-12-13. WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity. https://doi.org/10.1142/s0218202517500300

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