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Published 2005 | Published
Book Section - Chapter Open

Symbolic algorithms for the Painlevé test, special solutions, and recursion operators for nonlinear PDEs

Abstract

This paper discusses the algorithms and implementations of three MATHEMATICA packages for the study of integrability and the computation of closed-form solutions of nonlinear polynomial PDEs. The first package, PainleveTest.m, symbolically performs the Painlevé integrability test. The second package, PDESpecialSolutions.m, computes exact solutions expressible in hyperbolic or elliptic functions. The third package, PDERecursionOperator.m, generates and tests recursion operators.

Additional Information

© 2005 American Mathematical Society. This material is based upon work supported by the National Science Foundation (NSF) under Grants Nos. DMS-9732069, DMS-9912293 and CCR-9901929.

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Published - Baldwin2005p9578Group_Theory_And_Numerical_Analysis.pdf

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Baldwin2005p9578Group_Theory_And_Numerical_Analysis.pdf
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Created:
September 18, 2023
Modified:
March 5, 2024