An integrable semi-discrete Degasperis-Procesi equation
Exactly Solvable and Integrable Systems
2015-10-13 v1 Pattern Formation and Solitons
Abstract
Based on our previous work to the Degasperis-Procesi equation (J. Phys. A 46 045205) and the integrable semi-discrete analogue of its short wave limit (J. Phys. A 48 135203), we derive an integrable semi-discrete Degasperis-Procesi equation by Hirota's bilinear method. Meanwhile, -soliton solution to the semi-discrete Degasperis-Procesi equation is provided and proved. It is shown that the proposed semi-discrete Degasperis-Procesi equation, along with its -soliton solution converge to ones of the original Degasperis-Procesi equation in the continuous limit.
Keywords
Cite
@article{arxiv.1510.03010,
title = {An integrable semi-discrete Degasperis-Procesi equation},
author = {Bao-Feng Feng and Ken-ichi Maruno and Yasuhiro Ohta},
journal= {arXiv preprint arXiv:1510.03010},
year = {2015}
}
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20 pages