Solutions to the KP hierarchy with an elliptic background
Exactly Solvable and Integrable Systems
2023-10-19 v1 Mathematical Physics
math.MP
Abstract
A class of "elliptic soliton" solutions of the Kadomtsev-Petviashvili hierarchy, which includes a determinantal solution of Li and Zhang, is described in terms of pseudo-differential operator formulation. In our approach, the Li-Zhang solution is obtained by repeatedly applying the Darboux transformation to a stationary solution. Real-valued solutions are discussed and various examples that display web-like patterns are presented.
Keywords
Cite
@article{arxiv.2310.11679,
title = {Solutions to the KP hierarchy with an elliptic background},
author = {Saburo Kakei},
journal= {arXiv preprint arXiv:2310.11679},
year = {2023}
}
Comments
31 pages, 6 figures