The q-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons

被引：23
|
作者：
Lin, Runliang [1 ,2 ]
Peng, Hua [1 ]
Manas, Manuel [2 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Univ Complutense, Dept Fis Teor 2, E-28040 Madrid, Spain
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 43期
基金：
中国国家自然科学基金;
关键词：
Q-PSEUDODIFFERENTIAL SYMBOLS; N-COMPONENT KP; BACKLUND-TRANSFORMATIONS; Q-DEFORMATION; KDV EQUATION; SYMMETRIES; ALGEBRA;
D O I：
10.1088/1751-8113/43/43/434022
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Based on the eigenfunction symmetry constraint of the q-deformed modified KP hierarchy, a q-deformed mKP hierarchy with self-consistent sources (q-mKPHSCSs) is constructed. The q-mKPHSCSs contain two types of q-deformed mKP equation with self-consistent sources. By the combination of the dressing method and the method of variation of constants, a generalized dressing approach is proposed to solve the q-deformed KP hierarchy with self-consistent sources (q-KPHSCSs). Using the gauge transformation between the q-KPHSCSs and the q-mKPHSCSs, the q-deformed Wronskian solutions for the q-KPHSCSs and the q-mKPHSCSs are obtained. The one-soliton solutions for the q-deformed KP (mKP) equation with a source are given explicitly.
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收藏
页数：15
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