We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Solitons and Gibbs Measures for Nonlinear Schrödinger Equations.
- Authors
Kirkpatrick, K.
- Abstract
We review some recent results concerning Gibbs measures for nonlinear Schrödinger 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.
- Subjects
SOLITONS; WAVES (Physics); SCHRODINGER equation; NONLINEAR equations; STATISTICAL mechanics; NONLINEAR optics; MATHEMATICAL models of optics
- Publication
Mathematical Modelling of Natural Phenomena, 2012, Vol 7, Issue 2, p95
- ISSN
0973-5348
- Publication type
Article
- DOI
10.1051/mmnp/20127209