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This article is cited in 1 scientific paper (total in 1 paper)
A class of reductions of the two-component KP hierarchy and the Hirota–Ohta system
L. V. Bogdanova, Lingling Xueb a Landau Institute for Theoretical Physics, Russian
Academy of Sciences, Chernogolovka, Moscow Region, Russian, Russia
b Department of Mathematics, Faculty of Science, Ningbo University, Ningbo, China
Abstract:
We introduce a class of reductions of the two-component KP hierarchy that includes the Hirota–Ohta system hierarchy. The description of the reduced hierarchies is based on the Hirota bilinear identity and an extra bilinear relation characterizing the reduction. We derive the reduction conditions in terms of the Lax operator and higher linear operators of the hierarchy, as well as in terms of the basic two-component KP system of equations.
Keywords:
two-component Kadomtsev–Petviashvili hierarchy, reduction, Hirota–Ohta system.
Received: 09.01.2022 Revised: 09.01.2022
Citation:
L. V. Bogdanov, Lingling Xue, “A class of reductions of the two-component KP hierarchy and the Hirota–Ohta system”, TMF, 211:1 (2022), 37–47; Theoret. and Math. Phys., 211:1 (2022), 473–482
Linking options:
https://www.mathnet.ru/eng/tmf10243https://doi.org/10.4213/tmf10243 https://www.mathnet.ru/eng/tmf/v211/i1/p37
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Abstract page: | 154 | Full-text PDF : | 15 | References: | 41 | First page: | 4 |
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