WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity
Résumé
We consider the semi-classical limit of nonlinear Schrodinger equations in the presence of both a polynomial nonlinearity and the derivative in space of a polynomial nonlinearity. By working in a class of analytic initial data, we do not have to assume any hyperbolic structure on the (limiting) phase/amplitude system. The solution, its approximation, and the error estimates are considered in time dependent analytic regularity.
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