MACSYMA Program for the Painleve Test of 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. The program listing is given, together with a synopsis of the algorithm, a model of the output of the program, a list of tested examples and instructions to use the package. Keywords: Integrability, Symbolic programming, Soliton theory, Dynamical systems.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1987
Accession Number
ADA194293

Entities

People

  • Eric Van Den Bulck
  • Willy Hereman

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Analytic Functions
  • Coefficients
  • Differential Equations
  • Equations
  • Integral Equations
  • Integrals
  • Inverse Scattering
  • Plastic Explosives
  • Power Series
  • Resonance
  • Scientific Research
  • Universities
  • Wave Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computer Science.
  • Wave Propagation and Nonlinear Chaotic Dynamics.