Complex SUSY Transformations and the Painlevé IV Equation

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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dc.contributor.author	Bermúdez, D.
dc.date.accessioned	2019-02-18T13:25:45Z
dc.date.available	2019-02-18T13:25:45Z
dc.date.issued	2012
dc.identifier.citation	Complex SUSY Transformations and the Painlevé IV Equation / D. Bermúdez // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 39 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81Q60; 35G20; 34M55
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.069
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148467
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html. The author would like to acknowledge the useful comments of Professor David J. Fern´andez C. and his revision of the manuscript. The author also acknowledges the support of Conacyt (Mexico) through the PhD scholarship 219665 and the project 152574.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Complex SUSY Transformations and the Painlevé IV Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA