Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems |
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| Authors: | Shaoyun Shi Wenzhuang Zhu Baifeng Liu |
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| Institution: | (1) College of Mathematics, Jilin University, Changchun, 130012, P. R. China |
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| Abstract: | In this paper, we give some simple criteria of non-integrability and partial integrability in a Laurent polynomial ring Cu1 ± , ..., un ± ] for general semi-quasihomogeneous systems.
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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| Keywords: | 58F07 34A20 |
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