@article{894fed495db24687a06c53121ba2ffe0,
title = "An integrable semi-discrete Degasperis-Procesi equation",
abstract = "Based on our previous work on the Degasperis-Procesi equation (Feng et al J. Phys. A: Math. Theor. 46 045205) and the integrable semi-discrete analogue of its short wave limit (Feng et al J. Phys. A: Math. Theor. 48 135203), we derive an integrable semi-discrete Degasperis-Procesi equation by Hirota's bilinear method. Furthermore, N-soliton solution to the semi-discrete Degasperis-Procesi equation is constructed. It is shown that both the proposed semi-discrete Degasperis-Procesi equation, and its N-soliton solution converge to ones of the original Degasperis-Procesi equation in the continuum limit.",
keywords = "CKP hierarchy, bilinear equations, semi-discrete Degasperis-Procesi equation, tau-functions",
author = "Feng, {Bao Feng} and Maruno, {Ken Ichi} and Yasuhiro Ohta",
note = "Funding Information: BF appreciated the partial support by the National Natural Science Foundation of China (No. 11428102). The work of KM is partially supported by JSPS Grant-in-Aid for Scientific Research (C-15K04909) and CREST, JST. The work of YO is partially supported by JSPS Grant-in-Aid for Scientific Research (B-24340029, C-15K04909) and for Challenging Exploratory Research (26610029). Publisher Copyright: {\textcopyright} 2017 IOP Publishing Ltd & London Mathematical Society.",
year = "2017",
month = apr,
day = "19",
doi = "10.1088/1361-6544/aa67fc",
language = "English",
volume = "30",
pages = "2246--2267",
journal = "Nonlinearity",
issn = "0951-7715",
publisher = "IOP Publishing Ltd.",
number = "6",
}