A stochastic description of finite-gap potentials

A. L. Krylov; G. A. El'

doi:10.1070/RM1999v054n02ABEH000140

A stochastic description of finite-gap potentials

A. L. Krylov, G. A. El'

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The concept of a stochastic soliton lattice is introduced as a stochastic process whose realizations are finite-gap potentials of the Shr¨odinger equation. We study the evolution of this process according to the KdV equation.

Original language	English
Pages (from-to)	439-440
Number of pages	3
Journal	Russian Mathematical Surveys
Volume	54
Issue number	2
DOIs	https://doi.org/10.1070/RM1999v054n02ABEH000140
Publication status	Published - 30 Apr 1999
Externally published	Yes

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title = "A stochastic description of finite-gap potentials",

abstract = "The concept of a stochastic soliton lattice is introduced as a stochastic process whose realizations are finite-gap potentials of the Shr¨odinger equation. We study the evolution of this process according to the KdV equation.",

author = "Krylov, \{A. L.\} and El', \{G. A.\}",

year = "1999",

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AU - Krylov, A. L.

AU - El', G. A.

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AB - The concept of a stochastic soliton lattice is introduced as a stochastic process whose realizations are finite-gap potentials of the Shr¨odinger equation. We study the evolution of this process according to the KdV equation.

UR - https://www.scopus.com/pages/publications/0033461572

U2 - 10.1070/RM1999v054n02ABEH000140

DO - 10.1070/RM1999v054n02ABEH000140

M3 - Article

AN - SCOPUS:0033461572

SN - 0036-0279

VL - 54

SP - 439

EP - 440

JO - Russian Mathematical Surveys

JF - Russian Mathematical Surveys

IS - 2

ER -

A stochastic description of finite-gap potentials

Abstract

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