Integrable discretizations for the short wave model of the Camassa-Holm equation
Exactly Solvable and Integrable Systems
2011-05-10 v1 Pattern Formation and Solitons
Abstract
The link between the short wave model of the Camassa-Holm equation (SCHE) and bilinear equations of the two-dimensional Toda lattice (2DTL) is clarified. The parametric form of N-cuspon solution of the SCHE in Casorati determinant is then given. Based on the above finding, integrable semi-discrete and full-discrete analogues of the SCHE are constructed. The determinant solutions of both semi-discrete and fully discrete analogues of the SCHE are also presented.
Keywords
Cite
@article{arxiv.1002.3649,
title = {Integrable discretizations for the short wave model of the Camassa-Holm equation},
author = {Bao-Feng Feng and Ken-ichi Maruno and Yasuhiro Ohta},
journal= {arXiv preprint arXiv:1002.3649},
year = {2011}
}