Quasi-periodic wave solutions and asymptotic behavior for an extended (2+1)-dimensional shallow water wave equation

被引：0
|
作者：
Rui, Wenjuan [1 ]
机构：
[1] China Univ Min & Technol, Coll Sci, Xuzhou 221116, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
关键词：
Riemann theta function; soliton solutions; quasi-periodic wave solution; EVOLUTION-EQUATIONS; BILINEAR EQUATIONS; COLLOCATION METHOD; ORDER; MODEL;
D O I：
10.1186/s13662-016-0832-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on Riemann theta function and bilinear Bucklund transformation, quasi-periodic wave solutions are constructed for an extended (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.
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页数：12
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