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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
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.

Received: 03.03.2020
Revised: 03.03.2020

DOI: 10.4213/tmf9897


 English version: Theoretical and Mathematical Physics, 2020, 204:3, 1209–1215

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© Steklov Math. Inst. of RAS, 2025