Wronskian addition formula and Darboux-Pöschl-Teller potentials (Q355767)

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scientific article; zbMATH DE number 6191183
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Wronskian addition formula and Darboux-Pöschl-Teller potentials
scientific article; zbMATH DE number 6191183

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    Wronskian addition formula and Darboux-Pöschl-Teller potentials (English)
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    25 July 2013
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    Summary: For the famous Darboux-Pöschl-Teller equation, we present new Wronskian representation both for the potential and the related eigenfunctions. The simplest application of this new formula is the explicit description of dynamics of the DPT potentials and the action of the KdV hierarchy. The key point of the proof is some evaluation formulas for special Wronskian determinant.
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