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arXiv · 1510.03010

An integrable semi-discrete Degasperis-Procesi equation

Bao-Feng Feng·Ken-ichi Maruno·Yasuhiro Ohta
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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, $N$-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 $N$-soliton solution converge to ones of the original Degasperis-Procesi equation in the continuous limit.

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Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta. 2015-10-11. An integrable semi-discrete Degasperis-Procesi equation. https://arxiv.org/abs/1510.03010

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