Searching for Infinitely Many Symmetries and Exact Solutions via Repeated Similarity Reductions

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2005,（1）
• 页码范围: 1-4
• 页数: 4页
• 语种: 英文

摘要

A simple symmetry reduction procedure is repeatedly used to obtain infinitely many symmetries and then the exact solutions of the Burgers equation. Some sets of exact solutions such as the rational solutions, rationalkink solutions and error function solutions are explicitly given. As a byproduct the recursion operators can be re-obtained at the same time.