Symbolic algorithms for the Painleve test, special solutions, and recursion operators for nonlinear PDEs
Exactly Solvable and Integrable Systems
2007-05-23 v1
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 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.
Keywords
Cite
@article{arxiv.nlin/0311028,
title = {Symbolic algorithms for the Painleve test, special solutions, and recursion operators for nonlinear PDEs},
author = {Douglas Baldwin and Willy Hereman and Jack Sayers},
journal= {arXiv preprint arXiv:nlin/0311028},
year = {2007}
}
Comments
15 pages for the CRM Proceedings of the Workshop on Group Theory and Numerical Methods