On an infinite sequence of invariant measures for the cubic nonlinear Schrödinger equation

Peter E. Zhidkov

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-20

Abstract:

We consider the Cauchy problem periodic in the spatial variable for the usual cubic nonlinear Schrödinger equation and construct an infinite sequence of invariant measures associated with higher conservation laws for dynamical systems generated by this problem on appropriate phase spaces. In addition, we obtain sufficient conditions for the boundedness of the measures constructed.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:320424

DOI: 10.1155/S0161171201011450

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