Integrable semi-discretization of a multi-component short pulse equation
Exactly Solvable and Integrable Systems
2015-04-06 v1
Abstract
In the present paper, we mainly study the integrable semi-discretization of a multi-component short pulse equation. Firstly, we briefly review the bilinear equations for a multi-component short pulse equation proposed by Matsuno (J. Math. Phys. \textbf{52} 123705) and reaffirm its -soliton solution in terms of pfaffians. Then by using a B\"{a}cklund transformation of the bilinear equations and defining a discrete hodograph (reciprocal) transformation, an integrable semi-discrete multi-component short pulse equation is constructed. Meanwhile, its -soliton solution in terms of pfaffians is also proved.
Cite
@article{arxiv.1504.00878,
title = {Integrable semi-discretization of a multi-component short pulse equation},
author = {Bao-Feng Feng and Ken-ichi Maruno and Yasuhiro Ohta},
journal= {arXiv preprint arXiv:1504.00878},
year = {2015}
}
Comments
J. Math. Phys., to appear, 22 pages, 2 figures