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Statistics of soliton-bearing systems with additive noise G. E. Falkovich,1,2

Summary: Statistics of soliton-bearing systems with additive noise
G. E. Falkovich,1,2
I. Kolokolov,1,3
V. Lebedev,1,4
and S. K. Turitsyn5
Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030
Budker Institute of Nuclear Physics, Novosibirsk 630090, Russia
Landau Institute for Theoretical Physics, Moscow, Kosygina 2, 117940, Russia
Photonics Research Group, Aston University, Birmingham B4 7ET, United Kingdom
Received 22 March 2000; published 18 January 2001
We present a consistent method to calculate the probability distribution of soliton parameters in systems
with additive noise. Even though the noise is weak, we are interested in probabilities of large fluctuations
generally non-Gaussian which are beyond perturbation theory. Our method is a development of the instanton
formalism method of optimal fluctuation based on a saddle-point approximation in the path integral. We first


Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara
Kolokolov, Igor - Landau Institute for Theoretical Physics
Lebedev, Vladimir - Landau Institute for Theoretical Physics
Turitsyn, Sergei K. - School of Engineering and Applied Science, Aston University


Collections: Engineering; Physics