Equivalence problem and integrability of the Riccati equations

被引：1

作者：

Czyzycki, Tomasz ^{[1
]}

Hrivnak, Jiri ^{[2
]}

机构：

[1] Univ Bialystok, Inst Math, Bialystok, Poland

[2] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Phys, CR-11519 Prague, Czech Republic

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2010年 / 17卷 / 03期

关键词：

General Riccati equation; Equivalence transformations; Invariants;

D O I：

10.1007/s00030-009-0049-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the class of general real Riccati equations and find its Lie group of equivalence transformations. Using the Lie algebra of this Lie group and its invariants we formulate criteria of equivalence of the Riccati equations. These criteria determine some cases of the general Riccati equations, which are integrable in quadratures.

引用

页码：371 / 388

页数：18

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