Solitons and Gibbs measures for nonlinear Schroedinger equations
Analysis of PDEs
2011-09-02 v1 Mathematical Physics
math.MP
Probability
Abstract
We review some recent results concerning Gibbs measures for nonlinear Schroedinger equations (NLS), with implications for the theory of the NLS, including stability and typicality of solitary wave structures. In particular, we discuss the Gibbs measures of the discrete NLS in three dimensions, where there is a striking phase transition to soliton-like behavior.
Cite
@article{arxiv.1109.0274,
title = {Solitons and Gibbs measures for nonlinear Schroedinger equations},
author = {Kay Kirkpatrick},
journal= {arXiv preprint arXiv:1109.0274},
year = {2011}
}
Comments
19 pages, 5 figures