Integrable systems without the Painlevé property
Integrable systems without the Painlevé property
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不具有 Painlevé 性质的可积系统
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
S. Tremblay
中科院分区：
文献类型：
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作者：
A. Ramani;B. Grammaticos;S. Tremblay
我们研究Painleve性质是否是非线性常微分方程可积的必要条件。我们表明，对于一个大类的线性化系统，情况并非如此。在离散域中，我们研究了非Painleve连续线性化系统的离散类似物是否满足奇异约束性质。我们发现，虽然这些离散系统本身是线性化的，他们拥有非约束奇点。
We examine whether the Painleve property is a necessary condition for the integrability of nonlinear ordinary differential equations. We show that for a large class of linearizable systems this is not the case. In the discrete domain, we investigate whether the singularity confinement property is satisfied for the discrete analogues of the non-Painleve continuous linearizable systems. We find that while these discrete systems are themselves linearizable, they possess non-confined singularities.