Rational and Periodic Wave Solutions of Two-Dimensional Boussinesq Equation

• 来源期刊: 理论物理通讯(英文版)
• 年，卷（期）: 2008,（4）
• 页码范围: 815-824
• 页数: 10页
• 语种: 英文

摘要

Two new exact, rational and periodic wave solutions are derived for the two-dimensional Boussinesq equation. For the first solution it is obtained by performing an appropriate limiting procedure on the soliton solutions obtained by Hirota bilinear method. The second one in terms of Riemann theta function is explicitly presented by virtue of Hirota bilinear method and its asymptotic property is also analyzed in detail. Moreover, it is of interest to note that classical soliton solutions can be reduced from the periodic wave solutions.