Extended Jacobi elliptic function method and its applications to (2+1)-dimensional dispersive long-wave equation

• 来源期刊: 中国物理（英文版）
• 关键词: Jacobi elliptic function double periodic solutions solitary wave solutions
• 年，卷（期）: 2004,（1）
• 页码范围: 5-10
• 页数: 6页
• 语种: 英文

摘要

An extended Jacobi elliptic function method is proposed for constructing the exact double periodic solutions of nonlinear partial differential equations (PDEs) in a unified way. It is shown that these solutions exactly degenerate to the many types of soliton solutions in a limited condition. The Wu-Zhang equation (which describes the (2+1)-dimensional dispersive long wave) is investigated by this means and more formal double periodic solutions are obtained.