Published 2005
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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.Attached Files
Published - Baldwin2005p9578Group_Theory_And_Numerical_Analysis.pdf
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Baldwin2005p9578Group_Theory_And_Numerical_Analysis.pdf
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Additional details
- Eprint ID
- 23668
- Resolver ID
- CaltechAUTHORS:20110513-135907550
- DMS-9732069
- NSF
- DMS-9912293
- NSF
- CCR-9901929
- NSF
- Created
-
2011-05-17Created from EPrint's datestamp field
- Updated
-
2020-03-09Created from EPrint's last_modified field
- Series Name
- CRM Proceedings & Lectures Notes
- Series Volume or Issue Number
- 39