Links between (γn, σk)-KP Hierarchy, (γn, σk)-mKP Hierarchy, and (2+1)-(γn, σk)-Harry Dym Hierarchy

被引：0
|
作者：
Huang, Yehui [1 ]
Yao, Yuqin [2 ]
Zeng, Yunbo [3 ]
机构：
[1] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
[2] China Agr Univ, Dept Appl Math, Beijing 100083, Peoples R China
[3] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2015年 / 2015卷
基金：
中国国家自然科学基金;
关键词：
SOLITON-EQUATIONS; KP HIERARCHY; TRANSFORMATION; KDV6;
D O I：
10.1155/2015/392723
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The new ( 2+1)-(gamma(n), sigma(k))-Harry Dym hierarchy and (gamma(n), sigma(k))-mKP hierarchy with two new time series gamma(n) and sigma(k) which consist of gamma(n)-flow, sigma(k)-flow, and mixed gamma(n) and sigma(k) evolution equations of eigenfunctions, are proposed. Gauge transformations and reciprocal transformations between (gamma(n), sigma(k))-KP hierarchy, (gamma(n), sigma(k))-mKP hierarchy, and (2+1)-(gamma(n), sigma(k))-Harry Dym hierarchy are studied. Their soliton solutions are presented.
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页数：11
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