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Manuscript Title: Pseudo differential operators and integrable systems in AXIOM.
Authors: W.M. Seiler
Program title: PDO
Catalogue identifier: ACPX_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 79(1994)329
Programming language: Axiom.
Computer: IBM 6000.
Operating system: AIX, SunOS.
Keywords: Computer algebra, Pseudo differential Operators, Integrable systems, (generalized) lax Equation, Zakharov-shabat equation, Hierarchies, Conserved densities.
Classification: 5.

Nature of problem:
Generation of integrable systems solvable by the Inverse Scattering Method and determination of conservation laws.

Solution method:
Pseudo differential operators allow one to construct easily hierarchies of Lax pairs. The formalism yields also automatically an infinite number of conserved densities.

Running time:
Depends on complexity of calculation.