Reducibility of zero curvature representations with application to recursion operators

被引：18

作者：

Marvan, M ^{[1
]}

机构：

[1] Silesian Univ, Math Inst, Opava 74601, Czech Republic

来源：

ACTA APPLICANDAE MATHEMATICAE | 2004年 / 83卷 / 1-2期

关键词：

zero curvature representations; symmetries; conservation laws; recursion operators;

D O I：

10.1023/B:ACAP.0000035588.67805.0b

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a criterion of reducibility of a zero curvature representation to a solvable subalgebra, hence to a chain of conservation laws. Namely, we show that reducibility is equivalent to the existence of a section of the generalized Riccati covering. Results are applied to conversion between Guthrie's and Olver's form of recursion operators.

引用

页码：39 / 68

页数：30

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