The Painleve Test for Nonlinear Ordinary and Partial Differential Equations

Abstract

A MACSYMA program is presented which determines whether a given single nonlinear ODE or PDE with (real) polynomial terms fulfills the necessary conditions for having the Painleve property. Together with some mathematical background, the authors give a synopsis of the algorithm for the computer program, its scope and limitations. Various examples of typical output of the program are provided. Keywords: Coefficients, Exponents.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1989
Accession Number
ADA212894

Entities

People

  • Sigurd Angenent
  • Willy Hereman

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Analytic Functions
  • Coefficients
  • Computer Programs
  • Computers
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Integrals
  • Inverse Scattering
  • Lisp Programming Language
  • Partial Differential Equations
  • Power Series
  • Resonance
  • Universities
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computer Science.
  • Linear Algebra