Stochastic Soliton Lattices
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
- Publication:
-
arXiv e-prints
- Pub Date:
- October 1998
- DOI:
- 10.48550/arXiv.solv-int/9810013
- arXiv:
- arXiv:solv-int/9810013
- Bibcode:
- 1998solv.int.10013E
- Keywords:
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- Exactly Solvable and Integrable Systems;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 11 pages. To be published in Proceedings of the International Conference `Solitons, Geometry and Topology: on the Crossroads', Moscow, 1998