Enlarged spectral problems and nonintegrability

被引：5

作者：

Sakovich, S ^{[1
]}

机构：

[1] Natl Acad Sci, Inst Phys, Minsk 220072, BELARUS

来源：

PHYSICS LETTERS A | 2005年 / 345卷 / 1-3期

关键词：

strong and weak Lax pairs; gauge transformations of zero-curvature representations; Painleve test for integrability; nonintegrable coupled KdV equations; integrable Gurses-Karasu hierarchy;

D O I：

10.1016/j.physleta.2005.06.114

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The method of obtaining new integrable coupled equations through enlarging spectral problems of known integrable equations, which was recently proposed by W.X. Ma, can produce nonintegrable systems as well. This phenomenon is demonstrated and explained by the example of the enlarged spectral problem of the Korteweg-de Vries equation. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：63 / 68

页数：6

共 12 条

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