Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials

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RESEARCH PRODUCT

Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials

subject

Article Subject Wronskian lcsh:Mathematics General Mathematics Mathematics::Spectral Theory Eigenfunction KdV hierarchy lcsh:QA1-939 Variation of parameters Action (physics)Algebra Key point Nonlinear Sciences::Exactly Solvable and Integrable Systems Representation (mathematics)Mathematics Mathematical physics

description

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.

year	journal	country	edition	language
2013-01-01	Journal of Mathematics

https://doi.org/10.1155/2013/645752

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