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Complex SUSY Transformations and the Painlevé IV Equation
In this paper we will explicitly work out the complex first-order SUSY transformation for the harmonic oscillator in order to obtain both real and complex new exactly-solvable potentials. Furthermore, we will show that this systems lead us to exact complex solutions of the Painlevé IV equation with...
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Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2012
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148467 |
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