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Complex SUSY Transformations and the Painlevé IV Equation
Репозиторій DSpace/Manakin
- Домашня сторінка
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- Фізико-технічні та математичні науки
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- Відділення математики
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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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Complex SUSY Transformations and the Painlevé IV Equation
Інший ID:
2010 Mathematics Subject Classification: 81Q60; 35G20; 34M55
DOI: http://dx.doi.org/10.3842/SIGMA.2012.069
DOI: http://dx.doi.org/10.3842/SIGMA.2012.069
Посилання:
Complex SUSY Transformations and the Painlevé IV Equation / D. Bermúdez // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 39 назв. — англ.
Підтримка:
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.
Дата:
2012
Переглядів:
560
Завантажень:
184
Анотація:
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.
