An Integrable Hierarchy without a Recursion Operator

被引：0

作者：

Sakovich, Sergei ^{[1
]}

机构：

[1] Natl Acad Sci Belarus, Inst Phys, 68-2 Nezavisimosti Ave, Minsk 220072, BELARUS

来源：

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS | 2023年 / 26卷 / 02期

关键词：

nonlinear system; integrability; hierarchy; recursion operator; ZERO-CURVATURE REPRESENTATIONS; EQUATIONS;

D O I：

10.33581/1561-4085-2023-26-2-131-138

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the Lax integrability of a nonlinear system of two coupled second-order evolution equations introduced by Ibragimov and Shabat. For this system we find a zero-curvature representation with an essential parameter, construct an infinite integrable hierarchy which the system belongs to, and show that this hierarchy does not possess a recursion operator.

引用

页码：131 / 138

页数：8

共 20 条

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