PAINLEVE ANALYSIS AND REDUCIBILITY TO THE CANONICAL FORM FOR THE GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION

被引：22

作者：

BRUGARINO, T

GRECO, AM

机构：

[1] Dipartimento di Matematica ed Applicazioni, Universita di Palermo, 90123 Palermo, Via Archirafi

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 01期

关键词：

D O I：

10.1063/1.529095

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The most general Kadomtsev-Petviashvili (KP) type equation, [u(t) + a(t,x,y)u + b(t,x,y)u(x) + c(t,x,y)uu(x) + d(t,x,y)u(xxx)]x + k(t,x,y)u(yy) = 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.

引用

页码：69 / 71

页数：3

共 25 条

[1]

BRUGARINO T, 1990, CR ACAD SCI I-MATH, V310, P385

[2] GENERALIZED TWO-DIMENSIONAL BURGERS AND KADOMTSEV-PETVIASHVILI EQUATIONS AND COLLIDING SOLITONS [J].