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Lax representation does not mean complete integrability

Technical Report:

Abstract

The gauge equivalence between the inhomogeneous versions of the nonlinear Schroedinger and the Heisenberg ferromagnet equations is studied. An unexplicit criterion for integrability is proposed. It is shown that in the nonintegrable cases the M-operators in the Lax representations possess pole singularities lying on the spectrum of the L-operators. (author). 14 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/274
Reference Number:
SCA: 661100; PA: AIX-23:012825; SN: 92000638725
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HEISENBERG MODEL; INTEGRALS; SCHROEDINGER EQUATION; GAUGE INVARIANCE; LAX THEOREM; NONLINEAR PROBLEMS; QUANTUM OPERATORS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10111528
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92614128; TRN: XA9130291012825
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
11 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Gerdjikov, V S. Lax representation does not mean complete integrability. IAEA: N. p., 1991. Web.
Gerdjikov, V S. Lax representation does not mean complete integrability. IAEA.
Gerdjikov, V S. 1991. "Lax representation does not mean complete integrability." IAEA.
@misc{etde_10111528,
title = {Lax representation does not mean complete integrability}
author = {Gerdjikov, V S}
abstractNote = {The gauge equivalence between the inhomogeneous versions of the nonlinear Schroedinger and the Heisenberg ferromagnet equations is studied. An unexplicit criterion for integrability is proposed. It is shown that in the nonintegrable cases the M-operators in the Lax representations possess pole singularities lying on the spectrum of the L-operators. (author). 14 refs.}
place = {IAEA}
year = {1991}
month = {Sep}
}