3 papers
nlin.SI2026
Integrable Volterra hierarchies over nonabelian algebras
J. P. Wang, S. Carpentier, A. V. Mikhailov
Known integrable systems with noncommutative dependent variables are typically formulated over free associative algebras, quantum algebras, or Grassmann algebras. For differential-…
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
Discrete integrable principal chiral field model and its involutive reduction
Jan L. CieÅliÅski, Alexander V. Mikhailov, Maciej Nieszporski +1
We discuss an integrable discretization of the principal chiral field models equations and its involutive reduction. We present a Darboux transformation and general construction of…