Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• Hauptverfasser: Acosta-Humánez, Primitivo, Barkatou, Moulay, Sánchez-Cauce, Raquel, Weil, Jacques-Arthur
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211868
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory. Primitivo Acosta-Humánez, Moulay Barkatou, Raquel Sánchez-Cauce and Jacques-Arthur Weil. SIGMA 19 (2023), 016, 29 pages

Darboux developed an ingenious algebraic mechanism to construct infinite chains of ''integrable'' second-order differential equations as well as their solutions. After a surprisingly long time, Darboux's results were rediscovered and applied in many frameworks, for instance,...