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Complex SUSY Transformations and the Painlevé IV Equation

Vernadsky National Library of Ukraine

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Title Complex SUSY Transformations and the Painlevé IV Equation
 
Creator Bermúdez, D.
 
Description 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 complex parameters. We present some concrete examples of such solutions.
 
Date 2019-02-18T13:25:45Z
2019-02-18T13:25:45Z
2012
 
Type Article
 
Identifier Complex SUSY Transformations and the Painlevé IV Equation / D. Bermúdez // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 39 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 81Q60; 35G20; 34M55
DOI: http://dx.doi.org/10.3842/SIGMA.2012.069
http://dspace.nbuv.gov.ua/handle/123456789/148467
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України