Symbolic Software for the Painlevé Test of Nonlinear Ordinary and Partial Differential Equations

@article{Baldwin2006SymbolicSF,
  title={Symbolic Software for the Painlev{\'e} Test of Nonlinear Ordinary and Partial Differential Equations},
  author={Douglas Baldwin and Willy A. Hereman},
  journal={Journal of Nonlinear Mathematical Physics},
  year={2006},
  volume={13},
  pages={110 - 90}
}
Abstract The automation of the traditional Painlevé test in Mathematica is discussed. The package PainleveTest.m allows for the testing of polynomial systems of nonlinear ordinary and partial differential equations which may be parameterized by arbitrary functions (or constants). Except where limited by memory, there is no restriction on the number of independent or dependent variables. The package is quite robust in determining all the possible dominant behaviors of the Laurent series… 
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