Using symbolic computation to construct travelling wave solutions to nonlinear partial differential equations

• 来源期刊: 中国物理（英文版）
• 关键词: Wu-Zhang equation coupled projective Riccati equations soliton wave solution periodic wave solution symbolic computation
• 年，卷（期）: 2004,（10）
• 页码范围: 1639-1643
• 页数: 5页
• 语种: 英文

摘要

Based upon the symbolic computation and the coupled projective Riccati equation, the tanh function method is further improved. As its applications, Wu-Zhang equation (which describes a (2+1)-dimensional dispersive long wave)and the (1+1)-dimensional dispersive long wave equation obtained from Wu-Zhang equation by scaling transformation and symmetry reduction are chosen to illustrate the validity of the proposed approach.