Solutions and Conditional Lie-B(a)cklund Symmetries of Quasi-linear Diffusion-Reaction Equations

• 来源期刊: 理论物理通讯(英文版)
• 年，卷（期）: 2009,（1）
• 页码范围: 6-12
• 页数: 7页
• 语种: 英文

摘要

New classes of exact solutions of the quasi-linear diffusion-reaction equations are obtained by seeking for the high-order conditional Lie-B(a)cklund symmetries of the considered equations. The method used here extends the approaches of derivative-dependent functional separation of variables and the invariant subspace. Behavior to some solutions such as blow-up and quenching is also described.