文章基本信息

标题：Quasi-periodic wave solutions and asymptotic behavior for an extended ( 2 + 1 ) $(2+1)$ -dimensional shallow water wave equation
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作者：Wenjuan Rui
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：135
DOI：10.1186/s13662-016-0832-4
语种：English
出版社：Hindawi Publishing Corporation
摘要：Based on Riemann theta function and bilinear Bäcklund transformation, quasi-periodic wave solutions are constructed for an extended ( 2 + 1 ) $(2+1)$ -dimensional shallow water wave equation. A detail asymptotic analysis procedure to the one- and two-periodic wave solutions are presented, and the asymptotic properties of this type of solutions are proved. It is shown that the quasi-periodic wave solutions converge to the soliton solutions under small amplitude limits.
关键词：Riemann theta function ; soliton solutions ; quasi-periodic wave solution