An integrable semi-discrete Degasperis-Procesi equation

被引：7

作者：

Feng, Bao-Feng ^{[1
]}

Maruno, Ken-ichi ^{[2
]}

Ohta, Yasuhiro ^{[3
]}

机构：

[1] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

[2] Waseda Univ, Dept Appl Math, Tokyo 1698050, Japan

[3] Kobe Univ, Dept Math, Kobe, Hyogo 6578501, Japan

来源：

NONLINEARITY | 2017年 / 30卷 / 06期

基金：

中国国家自然科学基金;

关键词：

CKP hierarchy; tau-functions; bilinear equations; semi-discrete Degasperis-Procesi equation; SHALLOW-WATER EQUATION; PEAKON SOLUTIONS; SOLITON SOLUTION; WAVES;

D O I：

10.1088/1361-6544/aa67fc

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2246 / 2267

页数：22

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