| On the Nonexistence of Laurent Polynomial First Integrals for General Nonlinear Systems |
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| 作者姓名： | 史少云 韩月才 李伟 |
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| 作者单位： | School of Mathematics，Jilin University，Changchun，130012，School of Mathematics，Jilin University，Changchun，130012，School of Business，Jilin University，Changchun，130012 |
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| 基金项目： | The NSF(10126013)of China |
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| 摘 要： | The integrability of a system of ODEs 圣=/(x1is defined as the existence of a sufficiently rich set of first integrals such that its solutions canbe expressed by these integrals.Here,a single-valued function西(。)is called a first integralof the system(1)if it is constant along any solution curve of the system(1).If≯(z)isdifferentiable,then this definition can be written as the condition (筹川瑚=0.The singularity analysis has been proved to be a successful tool for finding integrable systems…
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