Binary Bell Polynomials, Bilinear Approach to Exact Periodic Wave Solutions of （2 d- 1）-Dimensional Nonlinear Evolution Equations

• 作者: 王云虎 陈勇
• 来源期刊: 理论物理通讯：英文版
• 学科: 数学
• 关键词: 非线性演化方程 周期波解 多项式 二进制 双线性方法 贝尔 双线性形式 KdV方程
• 年，卷（期）: 2011,（10）
• 页码范围: 672-678
• 页数: 7页
• 分类号: O411.1|O174.14
• 语种: 英文

摘要

In the present letter, we get the appropriate bilinear forms of （2 ＋ 1）-dimensional KdV equation, extended （2 ＋ 1）-dimensional shallow water wave equation and （2 ＋ 1）-dimensional Sawada -Kotera equation in a quick and natural manner, namely by appling the binary Bell polynomials. Then the Hirota direct method and Riemann theta function are combined to construct the periodic wave solutions of the three types nonlinear evolution equations. And the corresponding figures of the periodic wave solutions are given. Furthermore, the asymptotic properties of the periodic wave solutions indicate that the soliton solutions can be derived from the periodic wave solutions.