WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity

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.

13 pages

References in corpus (3)

• Supercritical geometric optics for nonlinear Schrodinger equations
• Geometric optics and boundary layers for Nonlinear Schrodinger equations
• On Fourier time-splitting methods for nonlinear Schrodinger equations in the semi-classical limit II. Analytic regularity

Cited by in corpus (2)

• WKB analysis of the Logarithmic Nonlinear Schrodinger Equation in an analytic framework
• WKB analysis of non-elliptic nonlinear Schrodinger equations