New applications of the homogeneous balance principle

• 来源期刊: 中国物理（英文版）
• 关键词: homogeneous balance principle Davey-Stewartson equation Nizhnik-Novikov-Veselov equation Backlund transformation exact solutions
• 年，卷（期）: 2003,（3）
• 页码范围: 245-250
• 页数: 6页
• 语种: 英文

摘要

The homogeneous balance principle has been widely applied to the exploration of nonlinear transformation, exact solutions (especially solitary wave solution), dromion and similarity reduction to the nonlinear partial differential equations in mathematical physics. In this paper, we use the homogeneous balance principle to derive Backlund transformations for nonlinear partial differential equations that have more nonlinear terms and more highest-order partial derivative terms. With the aid of the Backlund transformations derived here, we could obtain exact solutions to the nonlinear partial differential equations. The Davey-Stewartson equation and the Nizhnik-Novikov-Veselov equation are considered as the examples.