Cauchy Problems for KdV-type Equations and Higher-Order Conditional Symmetries

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2008,（3）
• 页码范围: 545-548
• 页数: 4页
• 语种: 英文

摘要

We develop the generalized conditional symmetry (GCS) approach to solve the problem of dimensional reduction of Cauchy problems for the KdV-type equations. We characterize these equations that admit certain higher-order GCSs and show the main reduction procedure by some examples. The obtained reductions cannot be derived within the framework of the standard Lie approach.