Painlevé Tests, Singularity Structure and Integrability

  title={Painlev{\'e} Tests, Singularity Structure and Integrability},
  author={Andrew N W Hone},
  journal={arXiv: Exactly Solvable and Integrable Systems},
  • A. Hone
  • Published 9 February 2005
  • Mathematics
  • arXiv: Exactly Solvable and Integrable Systems
After a brief introduction to the Painleve property for ordinary differential equations, we present a concise review of the various methods of singularity analysis which are commonly referred to as Painleve tests. The tests are applied to several different examples, and the connection between singularity structure and integrability of ordinary and partial differential equations is discussed. 

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