期刊
TAIWANESE JOURNAL OF MATHEMATICS
卷 20, 期 4, 页码 823-848出版社
MATHEMATICAL SOC REP CHINA
DOI: 10.11650/tjm.20.2016.6850
关键词
Generalized KdV-Caudrey-Dodd-Gibbon equation; Hirota's bilinear method; Riemann theta function; Soliton wave solution; Quasi-periodic wave solution
类别
资金
- Fundamental Research Funds for the Central Universities [2015XKQY14]
In this paper, a generalized KdV-Caudrey-Dodd-Gibbon (KdV-CDG) equation is investigated, which describes certain situations in the fluid mechanics, ocean dynamics and plasma physics. By using Bell polynomials, a lucid and systematic approach is proposed to systematically study its Hirota's bilinear form and N-soliton solution, respectively. Furthermore, based on the Riemann theta function, the onequasi- and two-quasi-periodic wave solutions are also constructed. Finally, an asymptotic relation of the quasi-periodic wave solutions are strictly analyzed to reveal the relations between quasi-periodic wave solutions and soliton solutions.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据