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Pseudo differential operators and integrable systems in AXIOM. (English) Zbl 0878.65108

Summary: 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.

MSC:

65Z05 Applications to the sciences
47G30 Pseudodifferential operators
58J40 Pseudodifferential and Fourier integral operators on manifolds
68W30 Symbolic computation and algebraic computation
81U40 Inverse scattering problems in quantum theory
35S05 Pseudodifferential operators as generalizations of partial differential operators
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References:

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