文献类型：期刊文献

英文题名：Soliton and Riemann theta function quasi-periodic wave solutions for a (2+1)-dimensional generalized shallow water wave equation

作者：Chen, Yiren[1];Song, Ming[2,3];Liu, Zhengrong[1]

机构：[1]S China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China;[2]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[3]Yuxi Normal Univ, Dept Math, Yuxi 653100, Peoples R China

年份：2015

卷号：82

期号：1-2

起止页码：333

外文期刊名：NONLINEAR DYNAMICS

收录：SCI-EXPANDED(收录号：WOS:000362578100028)、、EI(收录号：20152300917107)、Scopus(收录号：2-s2.0-84943362462)、WOS

基金：The authors would like to express their sincere thanks to Prof. Liming Ling for his enthusiastic guidance. The work was supported by the National Natural Science foundation of China (Nos. 11171115 and 11361069).

语种：英文

外文关键词：(2+1)-dimensional GSWW equation; Hirota bilinear method; Riemann theta function; Quasi-periodic wave solution; Asymptotic analysis; Breather-type soliton; Lump-type soliton

外文摘要：In this paper, a -dimensional generalized shallow water wave equation is investigated through bilinear Hirota method. Interestingly, the breather-type and lump-type soliton solutions are obtained. Furthermore, dynamic properties of the soliton waves are revealed by means of the asymptotic analysis. Based on Hirota bilinear method and Riemann theta function, we succeed in constructing quasi-periodic wave solutions with a generalized form. We also display the asymptotic properties of these quasi-periodic wave solutions and point out the relation between the quasi-periodic wave solutions and the soliton solutions.