THE WEISS-TABOR-CARNEVALE PAINLEVE TEST AND BURGERS HIERARCHY

被引：16
作者：
PICKERING, A
机构：
[1] Department of Mathematics, Heriot-Watt University, Riccarton
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 02期
关键词：
D O I：
10.1063/1.530615
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Weiss-Tabor-Carnevale (WTC) Painleve test, and its recent perturbative extension, provide necessary conditions for a partial differential equation to have the Painleve property. It follows that Burgers' hierarchy must pass the WTC Painleve test. The aim here is to prove this explicitly. In addition the Backlund transformation for Burgers' equation, obtained by WTC via truncation, is extended to the entire hierarchy. The recursion operator is found to be related to a simple first order system.
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页码：821 / 833
页数：13
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