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Stochastic Soliton Lattices

Gennady A. El, Alexander L. Krylov

solv-intarXiv:solv-int/9810013

Abstract

We introduce a new concept, Stochastic Soliton Lattice, as a random process generated by a finite-gap potential of the Shroedinger operator. We study the basic properties of this stochastic process and consider its KdV evolution

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