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On Tzitzeica equation and spectral properties of related Lax operators.

Authors :
Babalic, N. C.
Constantinescu, R.
Gerdjikov, V. S.
Source :
Balkan Journal of Geometry & Its Applications. 2014, Vol. 19 Issue 2, p11-22. 12p.
Publication Year :
2014

Abstract

We discuss the Tzitzeica equation and the spectral properties associated with its Lax operator L. We prove that the continuous spectrum of L is rotated with respect to the contour of the Riemann-Hilbert problem with angle π/6. We also show that the poles of the dressing factors and their inverses are discrete eigenvalues of L. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
12242780
Volume :
19
Issue :
2
Database :
Academic Search Index
Journal :
Balkan Journal of Geometry & Its Applications
Publication Type :
Academic Journal
Accession number :
96908915