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.

引用

页码：307 / 319

页数：13

共 41 条

[1] Method of squared eigenfunction potentials in integrable hierarchies of KP type
Aratyn, H
Nissimov, E
Pacheva, S
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 193 (03) : 493 - 525
[2] ARATYN H, 2001, CRM P LECT NOTES, V29, P109
[3] Carlet G., 2003, ARXIVNLIN0306060V2
[4] THE EXTENDED TODA HIERARCHY
Carlet, Guido
Dubrovin, Boris
Zhang, Youjin
[J]. MOSCOW MATHEMATICAL JOURNAL, 2004, 4 (02) : 313 - 332
[5] The "ghost" symmetry of the BKP hierarchy
Cheng, Jipeng
He, Jingsong
Hu, Sen
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (05)
[6] BILINEAR EQUATIONS FOR THE CONSTRAINED KP HIERARCHY
CHENG, Y
ZHANG, YJ
[J]. INVERSE PROBLEMS, 1994, 10 (02) : L11 - L17
[7] Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy
Chvartatskyi, Oleksandr
Sydorenko, Yuriy
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2015, 11
[8] TRANSFORMATION GROUPS FOR SOLITON-EQUATIONS .4. A NEW HIERARCHY OF SOLITON-EQUATIONS OF KP-TYPE
DATE, E
JIMBO, M
KASHIWARA, M
MIWA, T
[J]. PHYSICA D, 1982, 4 (03): : 343 - 365
[9] Date E., 1983, Non-Linear Integrable Systems - Classical Theory and Quantum Theory. Proceedings of RIMS Symposium, P39
[10] Dickey L.A, 2003, SOLITON EQUATIONS HA, V26, DOI DOI 10.1142/ASMP

← 1 2 3 4 5 →