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Algebraic Entropy of a Class of Five-Point Differential-Difference Equations

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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… Click to show full 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.

Keywords: algebraic entropy; differential difference; class; entropy class; five point; point differential

Journal Title: Symmetry
Year Published: 2019

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