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- W156685181 abstract "Let be the soliton solution to the nonlinear Schrdinger equation on the line. Following the approach of Lebowitz et al. (J. Statist. Phys. 54, 17-56 (1989)) to the periodic case, a family of Gaussian ensembles is introduced. This approximates the Gibbs measure in the sense that it is concentrated on locally bounded functions which are locally uniformly close to the soliton solution. The measure may be normalized when the inverse temperature is sufficiently small. The covariance matrix of the Gaussian process satisfies the Schrdinger equation obtained by linearizing the original equation about the soliton solution. Further, the Gaussian process is stationary with respect to time-shift and spatial translation, in Levitan's sense. Gaussian ensembles for the modified KdV equation are also introduced" @default.
- W156685181 created "2016-06-24" @default.
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- W156685181 date "2001-01-01" @default.
- W156685181 modified "2023-09-27" @default.
- W156685181 title "Gaussian ensembles for the non-linear Schrödinger and KdV equations." @default.
- W156685181 hasPublicationYear "2001" @default.
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