Stochastic Soliton Lattices
solv-int
2007-05-23 v1 Exactly Solvable and Integrable Systems
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
Cite
@article{arxiv.solv-int/9810013,
title = {Stochastic Soliton Lattices},
author = {Gennady A. El and Alexander L. Krylov},
journal= {arXiv preprint arXiv:solv-int/9810013},
year = {2007}
}
Comments
11 pages. To be published in Proceedings of the International Conference `Solitons, Geometry and Topology: on the Crossroads', Moscow, 1998