An integrable semi-discretization of the coupled Yajima--Oikawa system
Exactly Solvable and Integrable Systems
2015-09-24 v1 Mathematical Physics
math.MP
Abstract
In the present paper, an integrable semi-discrete analogue of the one-dimensional coupled Yajima--Oikawa system, which is comprised of multicomponent short-wave and one component long-wave, is proposed by using Hirota's bilinear method. Based on the reductions of the B\"{a}cklund transformations of the semi-discrete BKP hierarchy, both the bright and dark soliton (for the short-wave components) solutions in terms of pfaffians are constructed.
Keywords
Cite
@article{arxiv.1509.06996,
title = {An integrable semi-discretization of the coupled Yajima--Oikawa system},
author = {Junchao Chen and Yong Chen and Bao-Feng Feng and Ken-ichi Maruno and Yasuhiro Ohta},
journal= {arXiv preprint arXiv:1509.06996},
year = {2015}
}
Comments
19 pages,12figures