2003/11/16 by Douglas Baldwin, Baldwin, Douglas, Willy Hereman +3
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0311028
15 pages for the CRM Proceedings of the Workshop on Group Theory and Numerical Methods
arxiv created 2003/11/16 · arxiv updated 2009/12/01
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 Painleve 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.