Symmetries and Painlevé Test

The following sections are included:

• Introduction

• Ordinary Differential Equations

• Invertible Point Transformation

• Partial Differential Equations

• Symmetries by Truncated Expansions

• Painlevé Test and Recursion Operators

• Singular Manifold and Similarity Variables

• Hirota Technique and Painlevé Test

  • Hirota Technique

  • Connection with Painlevé Test

• Integrability Concepts

• Computer Algebra Applications

• Exercises