Higher-order Darboux transformations with foreign auxiliary equations and equivalence with generalized Darboux transformations

DOI10.1016/J.AML.2012.01.008zbMath1387.34058OpenAlexW2010315456MaRDI QIDQ452979

Axel Schulze-Halberg

Publication date: 18 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.01.008

zbMATH Keywords

auxiliary equationDarboux transformationgeneralized Schrödinger equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Cites Work

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• Darboux transformations in integrable systems. Theory and their applications to geometry
• -fold supersymmetry in quantum systems with position-dependent mass
• GENERALIZED BÄCKLUND–DARBOUX TRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS
• Explicit Darboux transformations of arbitrary order for generalized time-dependent Schrödinger equations
• Green’s functions and trace formulas for generalized Sturm–Liouville problems related by Darboux transformations
• Group theoretical approach to the intertwined Hamiltonians

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