6 citations · 9 across the 3 of their papers we have counts for
3 papers
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory
Primitivo Acosta-Humánez, Moulay Barkatou, Raquel Sánchez-Cauce +1
Darboux developed an ingenious algebraic mechanism to construct infinite chains of ''integrable'' second-order differential equations as well as their solutions. After a surprising…
Reduced Forms of Linear Differential Systems and the Intrinsic Galois-Lie Algebra of Katz
Moulay Barkatou, Thomas Cluzeau, Lucia Di Vizio +1
Generalizing the main result of [Aparicio-Monforte A., Compoint E., Weil J.-A., J. Pure Appl. Algebra 217 (2013), 1504-1516], we prove that a linear differential system is in reduc…
Differential Galois Theory and Lie Symmetries
David Blázquez-Sanz, Juan J. Morales-Ruiz, Jacques-Arthur Weil
We study the interplay between the differential Galois group and the Lie algebra of infinitesimal symmetries of systems of linear differential equations. We show that some symmetri…