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.
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Received: December 21, 2000; revised: July 17, 2001
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Kwek, K., Li, Y. & Shi, S. Partial integrability for general nonlinear systems. Z. angew. Math. Phys. 54, 26–47 (2003). https://doi.org/10.1007/PL00012633
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DOI: https://doi.org/10.1007/PL00012633