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A new family of deformations of Darboux-Pöschl-Teller potentials - MaRDI portal

A new family of deformations of Darboux-Pöschl-Teller potentials (Q2575234)

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A new family of deformations of Darboux-Pöschl-Teller potentials
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    A new family of deformations of Darboux-Pöschl-Teller potentials (English)
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    8 December 2005
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    A new family of integrable equation of a functional-difference Schrödinger equation \[ f(x+2h)+f(x-2h)+b(x)f(x)=\lambda f(x) \] with given potentials \(v_{m,n}x\) and \(b_{m,n}(x)\) are constructed in the case \(b(x)\neq 0\).
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    multiple Darboux transformation
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    Schrödinger equation
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