Weakly nonlocal Poisson brackets: tools, examples, computations

01/16/2021

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by   Matteo Casati, et al.

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We implement an algorithm for the computation of Schouten bracket of weakly nonlocal Hamiltonian operators in three different computer algebra systems: Maple, Reduce and Mathematica. This class of Hamiltonian operators encompass almost all the examples coming from the theory of (1+1)-integrable evolutionary PDEs