2 papers
nlin.SI2025
Algebraic quantisation approach to integrable differential-difference equations
Sylvain Carpentier, Alexander V. Mikhailov, Jing Ping Wang
We develop an algebraic quantisation approach, based on quantisation ideals, and apply it to integrable non-Abelian differential--difference equations. We show that the Toda hierar…
nlin.SI2025
Darboux transformations and related non-Abelian integrable differential-difference systems of the derivative nonlinear Schrödinger type
Edoardo Peroni, Jing Ping Wang
We construct linear and quadratic Darboux matrices compatible with the reduction group of the Lax operator for each of the seven known non-Abelian derivative nonlinear Schrödinger…