Exact Periodic Wave Solution of Extended (2+1)-Dimensional Shallow Water Wave Equation with Generalized D(p)over-bar-operators

被引：20

作者：

Dong Huan-He ^{[1
]}

Zhang Yan-Feng ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2015年 / 63卷 / 04期

基金：

中国国家自然科学基金;

关键词：

(2+1)-dimensional shallow water wave equation; D(p)over-bar-operators; binary Bell polynomials; Riemann theta function;

D O I：

10.1088/0253-6102/63/4/401

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With the aid of binary Bell polynomial and a general Riemann theta function, we introduce how to obtain the exact periodic wave solutions by applying the generalized D-(p) over bar-operators in term of the Hirota direct method when the appropriate value of (p) over bar is determined. Furthermore, the resulting approach is applied to solve the extended (2+1)dimensional Shallow Water Wave equation, and the periodic wave solution is obtained and reduced to soliton solution via asymptotic analysis.

引用

页码：401 / 405

页数：5

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