# Dynamics of poles of elliptic solutions to the BKP equation

## TL;DR

This paper derives equations governing the motion of poles in elliptic solutions to the BKP equation, utilizing the Baker-Akhiezer function and spectral curve integrals to analyze their dynamics.

## Contribution

It introduces a novel method for deriving pole dynamics equations for elliptic solutions to the BKP equation using the auxiliary linear problem.

## Key findings

- Derived explicit equations of motion for poles.
- Identified integrals of motion from the spectral curve.
- Connected pole dynamics to the spectral curve structure.

## 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.