WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity
Analysis of PDEs
2020-12-16 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1612.04149,
title = {WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity},
author = {Rémi Carles and Clément Gallo},
journal= {arXiv preprint arXiv:1612.04149},
year = {2020}
}
Comments
13 pages