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DARBOUX POLYNOMIALS AND ALGEBRAIC INTEGRABILITY OF THE CHEN SYSTEM

TINGHUA LÜ

Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P. R. China

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and

XIANG ZHANG

Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P. R. China

Author for correspondence.

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https://doi.org/10.1142/S0218127407018725Cited by:22 (Source: Crossref)

Abstract

In this paper, we characterize all the Darboux polynomials of the Chen system, , and prove that the system is not algebraic integrability. For proving the results, we use the weight homogeneous polynomials and the method of characteristics.

Keywords:

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