Higher-order Darboux transformations with foreign auxiliary equations and equivalence with generalized Darboux transformations |
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| Authors: | Axel Schulze-Halberg |
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| Affiliation: | Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN 46408, USA |
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| Abstract: | We show that a recently developed modified Darboux transformation that uses foreign auxiliary equations, can be unified with the Darboux transformation for generalized Schrödinger equations. As a consequence of this unification, we obtain explicit Darboux transformations with foreign auxiliary equations of arbitrary order. |
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