The Painleve Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients

被引：25
作者：
Kobayashi, Tadashi [1 ]
Toda, Kouichi [2 ]
机构：
[1] ROHM CO LTD, LSI IP Dev Div, High Funct Design G, Ukyo Ku, Kyoto 6158585, Japan
[2] Toyama Prefectural Univ, Dept Math Phys, Toyama 990398, Japan
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2006年 / 2卷
关键词：
KdV equation with variable-coefficients; Painleve test; higher-dimensional integrable systems;
D O I：
10.3842/SIGMA.2006.063
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The general KdV equation (gKdV) derived by T. Chou is one of the famous (1 + 1) dimensional soliton equations with variable coefficients. It is well-known that the gKdV equation is integrable. In this paper a higher-dimensional gKdV equation, which is integrable in the sense of the Painleve e test, is presented. A transformation that links this equation to the canonical form of the Calogero-Bogoyavlenskii-Schiff equation is found. Furthermore, the form and similar transformation for the higher-dimensional modified gKdV equation are also obtained.
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页数：10
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