The derivative-dependent functional variable separation for the evolution equations

• 来源期刊: 中国物理（英文版）
• 关键词: derivative-dependent functional variable separation evolution equations generalized conditional symmetry
• 年，卷（期）: 2006,（12）
• 页码范围: 2765-2776
• 页数: 12页
• 语种: 英文

摘要

This paper studies variable separation of the evolution equations via the generalized conditional symmetry. To illustrate, we classify the extended nonlinear wave equation utt = A(u,ux)uxx+B(u,ux,ut) which admits the derivativedependent functional separable solutions (DDFSSs). We also extend the concept of the DDFSS to cover other variable separation approaches.