On the modified discrete KP equation with self-consistent sources

DOI

10.1080/14029251.2017.1313476How to use a DOI?

Keywords

Modified discrete KP equation; Source generalization procedure; Discrete Gram-type determinant; Continuum limit

Abstract

The modified discrete KP equation is the Bäcklund transformation for the Hirota’s discrete KP equation or the Hirota-Miwa equation. We construct the modified discrete KP equation with self-consistent sources via source generation procedure and clarify the algebraic structure of the resulting coupled modified discrete KP system by presenting its discrete Gram-type determinant solutions. It is also shown that the commutativity between the source generation procedure and Bäcklund transformation is valid for the discrete KP equation. Finally, we demonstrate that the modified discrete KP equation with self-consistent sources yields the modified differential-difference KP equation with self-consistent sources through a continuum limit. The continuum limit of an explicit solution to the modified discrete KP equation with self-consistent sources also gives the explicit solution for the modified differential-difference KP equation with self-consistent sources.

Copyright

© 2017 The Authors. Published by Atlantis Press and Taylor & Francis

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Gegenhasi
AU  - Xiaorong Bai
PY  - 2021
DA  - 2021/01/06
TI  - On the modified discrete KP equation with self-consistent sources
JO  - Journal of Nonlinear Mathematical Physics
SP  - 224
EP  - 238
VL  - 24
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2017.1313476
DO  - 10.1080/14029251.2017.1313476
ID  - 2021
ER  -