[PDF][PDF] On Tzitzeica equation and spectral properties of related Lax operators
NC Babalic, R Constantinescu… - Balkan Journal of …, 2014 - researchgate.net
Balkan Journal of Geometry and Its Applications, 2014•researchgate.net
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.
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
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.
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