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Partial integrability for general nonlinear systems

  • K. H. Kwek
  • Y. Li
  • S. Shi

Abstract.

The purpose of this paper is to find a criterion of partial integrability for general nonlinear systems. Here partial integrability means the existence of a certain numbers of first integrals less than the number required for the complete integration [10]. We also give an algebraic criterion of partial integrability for general semi-quasihomogeneous systems.

Key words. Partial integrability, nontrivial integrals, Kowalevsky exponents, semi-quasihomogeneous systems. 

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Copyright information

© Birkhäuser Verlag, Basel, 2003

Authors and Affiliations

  • K. H. Kwek
    • 1
  • Y. Li
    • 2
  • S. Shi
    • 2
  1. 1.The Logistics Institute-Asia Pacific, National University of Singapore, Singapore 119260SG
  2. 2.Department of Mathematics, Jilin University, Changchun 130023, P. R. ChinaCN

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