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.
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页码：155 / 159
页数：5
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