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...
Збережено в:
| Дата: | 2012 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148467 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Complex SUSY Transformations and the Painlevé IV Equation / D. Bermúdez // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 39 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148467 |
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irk-123456789-1484672019-02-19T01:27:11Z Complex SUSY Transformations and the Painlevé IV Equation Bermúdez, D. 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. 2012 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Bermúdez, D. |
| spellingShingle |
Bermúdez, D. Complex SUSY Transformations and the Painlevé IV Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bermúdez, D. |
| author_sort |
Bermúdez, D. |
| title |
Complex SUSY Transformations and the Painlevé IV Equation |
| title_short |
Complex SUSY Transformations and the Painlevé IV Equation |
| title_full |
Complex SUSY Transformations and the Painlevé IV Equation |
| title_fullStr |
Complex SUSY Transformations and the Painlevé IV Equation |
| title_full_unstemmed |
Complex SUSY Transformations and the Painlevé IV Equation |
| title_sort |
complex susy transformations and the painlevé iv equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148467 |
| citation_txt |
Complex SUSY Transformations and the Painlevé IV Equation / D. Bermúdez // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 39 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
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2023-05-20T17:30:45Z |
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2023-05-20T17:30:45Z |
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