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

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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.

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Funding

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).

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Correspondence to A. V. Zabrodin.

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Rudneva, D.S., Zabrodin, A.V. Elliptic solutions of the semidiscrete B-version of the Kadomtsev–Petviashvili equation. Theor Math Phys 204, 1209–1215 (2020). https://doi.org/10.1134/S0040577920090093

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  • DOI: https://doi.org/10.1134/S0040577920090093

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