Algebraic entropy of a class of five-point differential-difference equations

Abstract

We compute the algebraic entropy of a class of integrable Volterra-like five-point differential-difference equations recently classified using the generalised symmetry method. We show that, when applicable, the results of the algebraic entropy agrees with the result of the generalised symmetry method, as all the equations in this class have vanishing entropy.

arXiv comment21 pages

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Cited by in corpus (2)

• Algebraic entropy computations for lattice equations: why initial value problems do matter
• Hamiltonian and recursion operators for a discrete analogue of the Kaup-Kupershmidt equation