Differential Galois theory and Darboux transformations for Integrable Systems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2016.06.016
Abstract: Abstract We apply the Differential Galois Theory of linear partial differential systems to the Backlund–Darboux transformations of the AKNS solitonic partial differential equations. We prove that the Galois group of the transformed system is isomorphic… read more here.
Keywords: galois theory; theory darboux; differential galois; darboux transformations ... See more keywords
Galois theory for general systems of polynomial equations
Sign Up to like & getrecommendations! Published in 2019 at "Compositio Mathematica"
DOI: 10.1112/s0010437x18007868
Abstract: We prove that the monodromy group of a reduced irreducible square system of general polynomial equations equals the symmetric group. This is a natural first step towards the Galois theory of general systems of polynomial… read more here.
Keywords: system; systems polynomial; general systems; theory general ... See more keywords