Published September 1991
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Lax representation does not mean complete integrability
Description
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
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23012825.pdf
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Additional details
Publishing Information
- Imprint Pagination
- 11 p.
- Report number
- IC--91/274
INIS
- Country of Publication
- International Atomic Energy Agency (IAEA)
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 23012825
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- GAUGE INVARIANCE; HEISENBERG MODEL; INTEGRALS; LAX THEOREM; NONLINEAR PROBLEMS; QUANTUM OPERATORS; SCHROEDINGER EQUATION
- Descriptors DEC
- CRYSTAL MODELS; DIFFERENTIAL EQUATIONS; EQUATIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS