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

Baldwin, D. and Hereman, W. and Sayers, J. (2005) Symbolic algorithms for the Painlevé test, special solutions, and recursion operators for nonlinear PDEs. In: Group Theory and Numerical Analysis. CRM Proceedings & Lectures Notes. No.39. American Mathematical Society , Providence, RI , pp. 17-32. ISBN 0-8218-3565-3 http://resolver.caltech.edu/CaltechAUTHORS:20110513-135907550

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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.


Item Type:Book Section
Related URLs:
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http://www.ams.org/bookstore-getitem/item=CRMP-39PublisherUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
NSFDMS-9732069
NSFDMS-9912293
NSFCCR-9901929
Classification Code:MSC 2000: Primary 35Q53, 37K10; Secondary 35K40, 37K05
Record Number:CaltechAUTHORS:20110513-135907550
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110513-135907550
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:23668
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:17 May 2011 16:36
Last Modified:26 Dec 2012 13:14

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