Painlevé analysis and reducibility to the canonical form for the generalized Kadomtsev–Petviashvili equation
Painlevé analysis and reducibility to the canonical form for the generalized Kadomtsev–Petviashvili equation
复制标题
广义 Kadomtsev-Petviashvili 方程的 Painlevé 分析和规范形式的简化
DOI：
10.1063/1.529095
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发表时间：
1991
影响因子：
1.3
通讯作者：
A. Greco
中科院分区：
文献类型：
--
作者：
T. Brugarino;A. Greco
研究了最一般的Kadomtsev-Petviashvili（KP）型方程[ut+a（t，x，y）u+ B（t，x，y）ux+c（t，x，y）uux+d（t，x，y）uxxx]x+k（t，x，y）uyy=e（t，x，y），并通过Painleve判别法确定了方程系数为完全可积的条件.最后，证明了上述条件与通过适当的变换将方程化为标准形所要求的条件相同。
The most general Kadomtsev–Petviashvili (KP) type equation, [ut+a(t,x,y)u+b(t,x,y) ux+c(t,x,y)uux+d(t, x,y)uxxx]x+k(t,x,y) uyy=e(t,x,y), is studied and the conditions for the coefficients, in order that it owns complete integrability, are determined via a Painleve test. Finally, it is proved that the above conditions are the same as those requested for reducing the equation to the canonical form via suitable transformations.