A semi-discrete Kadomtsev-Petviashvili equation and its coupled integrable system
Exactly Solvable and Integrable Systems
2016-05-25 v2
Abstract
We establish connections between two cascades of integrable systems generated from the continuum limits of the Hirota-Miwa equation and its remarkable nonlinear counterpart under the Miwa transformation respectively. Among these equations, we are mainly concerned with the semi-discrete bilinear Kadomtsev-Petviashvili (KP) equation which is seldomly studied in literature. We present both of its Casorati and Grammian determinant solutions. Through the Pfaffianization procedure proposed by Hirota and Ohta, we are able to derive the coupled integrable system for the semi-discrete KP equation.
Keywords
Cite
@article{arxiv.1510.06705,
title = {A semi-discrete Kadomtsev-Petviashvili equation and its coupled integrable system},
author = {Chun-Xia Li and Stéphane Lafortune and Shou-Feng Shen},
journal= {arXiv preprint arXiv:1510.06705},
year = {2016}
}