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TMF, 2020, Volume 204, Number 3, Pages 445–452 (Mi tmf9897)  

Elliptic solutions of the semidiscrete B-version of the Kadomtsev–Petviashvili equation

D. S. Rudnevaab, A. V. Zabrodinb*

a National Research University "Higher School of Economics", Moscow, Russia
b Skolkovo Institute of Science and Technology, Moscow, Russia

Abstract: We study elliptic solutions of the semidiscrete B-version of the Kadomtsev–Petviashvili equation and derive the equations of motion of their poles. The auxiliary linear problems for the wave function are the main technical tool.

Keywords: BKP equation, elliptic solution

Funding Agency Grant Number
Russian Science Foundation 19-11-00275
The research of A. V. Zabrodin (Secs. 2 and 3 is supported by a grant from the Russian Science Foundation (Project No. 19-11-00275).

* Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/tmf9897

Full text: PDF file (359 kB)
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English version:
Theoretical and Mathematical Physics, 2020, 204:3, 1209–1215

Bibliographic databases:

Received: 03.03.2020
Revised: 03.03.2020

Citation: D. S. Rudneva, A. V. Zabrodin, “Elliptic solutions of the semidiscrete B-version of the Kadomtsev–Petviashvili equation”, TMF, 204:3 (2020), 445–452; Theoret. and Math. Phys., 204:3 (2020), 1209–1215

Citation in format AMSBIB
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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