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arXiv · 1603.05173

SUSY partners of the truncated oscillator, Painlevé transcendents and Bäcklund transformations

David J. Fernández C·VS Morales-Salgado
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Abstract

In this work the supersymmetric technique is applied to the truncated oscillator to generate Hamiltonians ruled by second and third-order polynomial Heisenberg algebras, which are connected to the Painlevé IV and Painlevé V equations respectively. The aforementioned connection is exploited to produce particular solutions to both non-linear differential equations and the Bäcklund transformations relating them.

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David J. Fernández C, VS Morales-Salgado. 2016-03-16. SUSY partners of the truncated oscillator, Painlevé transcendents and Bäcklund transformations. https://doi.org/10.1088/1751-8113%2F49%2F19%2F195202

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