Dynamics of poles of elliptic solutions to the BKP equation
Mathematical Physics
2020-02-19 v2 math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1903.00968,
title = {Dynamics of poles of elliptic solutions to the BKP equation},
author = {D. Rudneva and A. Zabrodin},
journal= {arXiv preprint arXiv:1903.00968},
year = {2020}
}
Comments
18 pages, introduction expanded, references added