Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory
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 in quantum mechanics (where they provide useful tools for supersymmetric quantum mechanics), in soliton theory, …