Complex SUSY Transformations and the Painlevé IV Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Complex SUSY Transformations and the Painlevé IV Equation
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| Creator |
Bermúdez, D.
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| 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.
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| Date |
2019-02-18T13:25:45Z
2019-02-18T13:25:45Z 2012 |
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| Type |
Article
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| 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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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