BILINEAR IDENTITIES FOR AN EXTENDED B-TYPE KADOMTSEV-PETVIASHVILI HIERARCHY

被引：4
|
作者：
Lin, Runliang [1 ]
Cao, Tiancheng [1 ]
Liu, Xiaojun [2 ]
Zeng, Yunbo [1 ]
机构：
[1] Tsinghua Univ, Sch Sci, Dept Math Sci, Beijing 100084, Peoples R China
[2] China Agr Univ, Dept Appl Math, Beijing 100094, Peoples R China
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2016年 / 186卷 / 03期
基金：
中国国家自然科学基金;
关键词：
BKP hierarchy; self-consistent source; bilinear identity; tau function; Hirota bilinear form; SELF-CONSISTENT SOURCES; KP HIERARCHY; TODA HIERARCHY; EQUATIONS; TRANSFORMATION;
D O I：
10.1134/S0040577916030016
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct bilinear identities for wave functions of an extended B-type Kadomtsev-Petviashvili (BKP) hierarchy containing two types of (2+1)-dimensional Sawada-Kotera equations with a self-consistent source. Introducing an auxiliary variable corresponding to the extended flow for the BKP hierarchy, we find the tau-function and bilinear identities for this extended BKP hierarchy. The bilinear identities generate all the Hirota bilinear equations for the zero-curvature forms of this extended BKP hierarchy. As examples, we obtain the Hirota bilinear equations for the two types of (2+1)-dimensional Sawada-Kotera equations in explicit form.
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页码：307 / 319
页数：13
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