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      Dynamics of poles of elliptic solutions to BKP equation

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          Abstract

          We derive equations of motion for poles of elliptic solutions to the BKP equation. The basic tool is the auxiliary linear problem for the Baker-Akhiezer function. We also discuss integrals of motion for the pole dynamics which follow from the equation of the spectral curve.

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          Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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            Exactly solvable one-dimensional many-body problems

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              Rational solutions of the Kadomtsev — Petviashvili equation and integrable systems of N particles on a line

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                Author and article information

                Journal
                03 March 2019
                Article
                1903.00968
                ba827c6f-cb8a-427d-bbde-4ce339beb4bb

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                ITEP-TH-26/18
                16 pages, no figures
                math-ph math.MP

                Mathematical physics,Mathematical & Computational physics
                Mathematical physics, Mathematical & Computational physics

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