Pseudo Diierential Operators and Integrable Systems in Axiom Title of Program: Pdo Computer: Ibm Rs 6000, Sun Operating System: Aix, Sunos Programming Language: Axiom 1.2 Memory Required: Depends on Complexity of Calculation Supported by Studienstiftung Des Deutschen Volkes 2
نویسنده
چکیده
An implementation of the algebra of pseudo diierential 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. Nature of physical problem: Generation of integrable systems solvable by the Inverse Scattering Method and determination of conservation laws Method of solution: Pseudo diierential operators allow one to construct easily hierarchies of Lax pairs. The formalism yields also automatically an innnite number of conserved densities.
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