Long wave limit for Schrodinger maps
Analysis of PDEs
2016-04-20 v1 Differential Geometry
Abstract
We study long wave limits for general Schrodinger maps systems into Kahler manifolds with a constraining potential vanishing on a Lagrangian submanifold. We obtain KdV type systems set on the tangent space of the submanifold. Our general theory is applied to study the long wave limit of the Gross-Pitaevskii equation, and of the Landau-Lifshitz systems for ferromagnetic and antiferromagnetic chains.
Cite
@article{arxiv.1604.05710,
title = {Long wave limit for Schrodinger maps},
author = {Pierre Germain and Frederic Rousset},
journal= {arXiv preprint arXiv:1604.05710},
year = {2016}
}
Comments
67 pages