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Solitons and Gibbs Measures for Nonlinear Schrödinger Equations
Published online by Cambridge University Press: 29 February 2012
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.
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 2: Solitary waves , 2012 , pp. 95 - 112
- Copyright
- © EDP Sciences, 2012
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