On a class of third-order nonlocal Hamiltonian operators
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DOI: 10.1016/j.geomphys.2018.10.018
Abstract: Abstract Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi identities for a class of third-order nonlocal operators of differential-geometric type. Hamiltonian operators within this class are defined by a… read more here.
Keywords: class; hamiltonian operators; third order; class third ... See more keywords
Recursion and Hamiltonian operators for integrable nonabelian difference equations
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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