Pseudo differential operators and integrable systems in AXIOM

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Abstract An implementation of the algebra of pseudo differential operators in the computer algebra system AXIOM is described. In several examples the application of the package to typical computations in the theory of integrable systems is demonstrated. Title of program: PDO Catalogue Id: ACPX_v1_0 Nature of problem Generation of integrable systems solvable by the Inverse Scattering Method and determination of conservation laws. Versions of this program held in the CPC repository in Mendeley Data ACPX_v1_0; PDO; 10.1016/0010-4655(94)90076-0 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

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