Auto-B(a)cklund Transformation and Analytic Solutions of (24-1)-Dimensional Boussinesq Equation

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2008,（2）
• 页码范围: 287-290
• 页数: 4页
• 语种: 英文

摘要

Using the truncated Painleve expansion, symbolic computation, and direct integration technique, we study analytic solutions of (2+1)-dimensional Boussinesq equation. An auto-Backlund transformation and a number of exact solutions of this equation have been found. The set of solutions include solitary wave solutions, solitoff solutions, and periodic solutions in terms of elliptic Jacobi functions and Weierstrass function. Some of them are novel.