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.

引用

页数：12

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