On the q-deformed modified Korteweg-de Vries hierarchy

被引：13

作者：

Tu, MH ^{[1
]}

Lee, CR ^{[1
]}

机构：

[1] Natl Chung Cheng Univ, Dept Phys, Chiayi 62107, Taiwan

来源：

PHYSICS LETTERS A | 2000年 / 266卷 / 2-3期

关键词：

KdV hierarchy; modified KdV hierarchy; q-deformation; Miura transformation; Backlund transformation;

D O I：

10.1016/S0375-9601(00)00033-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the q-deformed modified KdV hierarchy by factorizing the Lax operator of the q-deformed KdV (q-KdV) hierarchy into multiplication form which defines a q-deformed Miura transformation. We show that the modified hierarchy flows are invariant under cyclic permutations of the Miura variables and, hence, generates Backlund transformations of the q-KdV hierarchy. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：155 / 159

页数：5

共 15 条

[1] ON THE BACKLUND TRANSFORMATION FOR THE GELFAND-DICKEY EQUATIONS [J].