Complex SUSY Transformations and the Painlevé IV Equation

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dc.contributor.authorBermúdez, D.
dc.date.accessioned2019-02-18T13:25:45Z
dc.date.available2019-02-18T13:25:45Z
dc.date.issued2012
dc.description.abstractIn 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.sponsorshipThis 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.identifier.citationComplex 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81Q60; 35G20; 34M55
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2012.069
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148467
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleComplex SUSY Transformations and the Painlevé IV Equationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік