The Painlevé Integrability Test

1998/03/06 by Willy Hereman, Hereman, Willy
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9803006

For chapter in book `Computer Algebra in Germany', Eds.: J. Grabmeier et al. (Springer Verlag, 1998), Submitted to Werner Seiler, March 5, 1998, Latex

arxiv created 1998/03/06 · openalex publication_date 1998/03/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Painlevé test is a widely applied and quite successful technique to investigate the integrability of nonlinear ODEs and PDEs by analyzing the singularity structure of the solutions. The test is named after the French mathematician Paul Painlevé ....

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