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This article is cited in 4 scientific papers (total in 4 papers)
Bilinear identities for an extended B-type Kadomtsev–Petviashvili hierarchy
Runliang Lina, Tiancheng Caoa, Xiaojun Liub, Yunbo Zenga a Department of Mathematical Sciences, School of Sciences, Tsinghua University, Beijing, China
b Department of Applied Mathematics, China Agricultural University, Beijing, China
Abstract:
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.
Keywords:
BKP hierarchy, self-consistent source, bilinear identity, tau function, Hirota bilinear form.
Received: 02.05.2015
Citation:
Runliang Lin, Tiancheng Cao, Xiaojun Liu, Yunbo Zeng, “Bilinear identities for an extended B-type Kadomtsev–Petviashvili hierarchy”, TMF, 186:3 (2016), 357–370; Theoret. and Math. Phys., 186:3 (2016), 307–319
Linking options:
https://www.mathnet.ru/eng/tmf8959https://doi.org/10.4213/tmf8959 https://www.mathnet.ru/eng/tmf/v186/i3/p357
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Abstract page: | 423 | Full-text PDF : | 150 | References: | 55 | First page: | 18 |
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