Integrability Tests for Nonlinear Evolution Equations

1999/04/28 by Willy Hereman, Hereman, Willy, Ünal Göktaş +2
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Numerical methods for differential equations #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9904022

uses 31x47jw.sty, chapter in: Computer Algebra Systems: A Practical Guide (Ed. Michael Wester), Wiley and Sons, New York, in press

openalex publication_date 1999/04/28 · arxiv created 1999/04/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Discusses several integrability tests for nonlinear evolution equations.

Related

• The Painlevé Integrability Test
• Overcoming Obstacles to Integrability in Perturbed Nonlinear Evolution Equations
• The Hautus test for non-autonomous linear evolution equation
• Integrability of the higher-order nonlinear Schroedinger equation revisited
• Remarks on the first integral method for solving nonlinear evolution equations