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Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems

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Abstract.

In this paper, we give some simple criteria of non-integrability and partial integrability in a Laurent polynomial ring C[u  ± 1 , ..., u  ±  n ] for general semi-quasihomogeneous systems.

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Authors and Affiliations

  1. College of Mathematics, Jilin University, Changchun, 130012, P. R. China

    Shaoyun Shi, Wenzhuang Zhu & Baifeng Liu

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  1. Shaoyun Shi
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  2. Wenzhuang Zhu
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  3. Baifeng Liu
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Corresponding author

Correspondence to Shaoyun Shi.

Additional information

Supported by NSFC grant 10401013 and 985 project of Jilin University.

(Received: September 17, 2003; revised: March 18/September 7, 2004)

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Shi, S., Zhu, W. & Liu, B. Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems. Z. angew. Math. Phys. 57, 723–732 (2006). https://doi.org/10.1007/s00033-005-0036-3

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  • DOI: https://doi.org/10.1007/s00033-005-0036-3

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