The Tzitzeica equation: A Bäcklund transformation interpreted as truncated Painlevé expansion

The Tzitzeica equation: A Bäcklund transformation interpreted as truncated Painlevé expansion
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Tzitzeica 方程:解释为截断 Painlevé 展开式的 Bäcklund 变换

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发表时间:
1996
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通讯作者:
W. Schief
W. Schief
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文献类型:
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作者:
W. Schief

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证明了截断经典Tzitzeica方程的Painleve展开式所得到的超定方程组存在定义Backlund变换的解。
It is shown that the overdetermined system of equations obtained by truncating the Painleve expansion for the classical Tzitzeica equation admits a solution which defines a Backlund transformation.