Gauge transformations of the multi-component BKP and CKP hierarchies

被引:4
|
作者
Song, Tao [1 ]
Li, Chuanzhong [1 ]
Li, Xinyue [2 ]
机构
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源
MODERN PHYSICS LETTERS B | 2017年 / 31卷 / 30期
基金
中国国家自然科学基金;
关键词
Gauge transformation; multi-component BKP hierarch; multi-component CKP hierarchy; KP; REPRESENTATION; SYSTEMS;
D O I
10.1142/S0217984917502803
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this paper, we give the definition and multi-folds gauge transformations of the multi-component B-type KakomtsevPetviashvili (MBKP) hierarchy and multi-component CKP (MCKP) hierarchy. Besides, we derive new solutions after the one-fold gauge transformation of the MBKP hierarchy. The remarkable differences between the BKP (CKP) hierarchy and the MBKP(MCKP) hierarchy are given in this paper. What is more, we introduce some facts about the multi-component constrained BKP and multi-component constrained CKP hierarchies including some obstacles and some new multi-component equations.
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页数:16
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