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nlin.SI2026
Finite dimensional reductions of integrable differential-difference equations
Alexander Mikhailov
Integrable partial differential equations, such as the Korteweg--De Vries (KdV) equation, admit infinite hierarchies of commuting higher symmetries. Their symmetry reductions give…
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-…