paper

Dynamics of poles of elliptic solutions to the BKP equation

arXiv:1903.00968 · doi:10.1088/1751-8121/ab63a8

Abstract

We derive equations of motion for poles of elliptic solutions to the B-version of the Kadomtsev-Petviashvili equation (BKP). 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.

18 pages, introduction expanded, references added