Hamiltonian Structures for Integrable Nonabelian Difference Equations
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-022-04348-3
Abstract: In this paper we extensively study the notion of Hamiltonian structure for nonabelian differential-difference systems, exploring the link between the different algebraic (in terms of double Poisson algebras and vertex algebras) and geometric (in terms… read more here.
Keywords: hamiltonian structures; difference; poisson; integrable nonabelian ... See more keywords
Recursion and Hamiltonian operators for integrable nonabelian difference equations
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinearity"
DOI: 10.1088/1361-6544/aba88c
Abstract: In this paper, we carry out the algebraic study of integrable differential-difference equations whose field variables take values in an associative (but not commutative) algebra. We adapt the Hamiltonian formalism to nonabelian difference Laurent polynomials… read more here.
Keywords: difference; integrable nonabelian; difference equations; nonabelian difference ... See more keywords