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An invariant measure for a nonlinear Schroedinger equation; Invariantnaya mera dlya nelinejnogo uravneniya Shredingera

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Abstract

We construct an invariant measure for the dynamical system generated by a nonlinear Schroedinger equation. Conditions of the boundedness of the measure constructed are obtained. The result allows us to apply the Poincare recurrence theorem which (partially) explains the Fermi - Pasta - Ulam phenomenon well-known in the theory of nonlinear waves. 20 refs. (author).
Authors:
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
JINR-R-5-94-199
Reference Number:
SCA: 990200; PA: AIX-26:006783; EDB-95:011662; SN: 95001299398
Resource Relation:
Other Information: PBD: 1994
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; MEASURE THEORY; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; PHASE SPACE; RECURSION RELATIONS; SOLITONS; 990200; MATHEMATICS AND COMPUTERS
OSTI ID:
10102778
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Country of Origin:
JINR
Language:
Russian
Other Identifying Numbers:
Other: ON: DE95610166; TRN: XJ9406447006783
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
20 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Zhidkov, P E. An invariant measure for a nonlinear Schroedinger equation; Invariantnaya mera dlya nelinejnogo uravneniya Shredingera. JINR: N. p., 1994. Web.
Zhidkov, P E. An invariant measure for a nonlinear Schroedinger equation; Invariantnaya mera dlya nelinejnogo uravneniya Shredingera. JINR.
Zhidkov, P E. 1994. "An invariant measure for a nonlinear Schroedinger equation; Invariantnaya mera dlya nelinejnogo uravneniya Shredingera." JINR.
@misc{etde_10102778,
title = {An invariant measure for a nonlinear Schroedinger equation; Invariantnaya mera dlya nelinejnogo uravneniya Shredingera}
 author = {Zhidkov, P E}
 abstractNote = {We construct an invariant measure for the dynamical system generated by a nonlinear Schroedinger equation. Conditions of the boundedness of the measure constructed are obtained. The result allows us to apply the Poincare recurrence theorem which (partially) explains the Fermi - Pasta - Ulam phenomenon well-known in the theory of nonlinear waves. 20 refs. (author).}
 place = {JINR}
 year = {1994}
 month = {Dec}
 }