Localization of nonlocal symmetries and interaction solutions of the Sawada-Kotera equation

• 作者: Jian-wen Wu Yue-jin Cai Ji Lin
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（6）
• 所属期刊栏目: MATHEMATICAL PHYSICS
• 页码范围: 6-12
• 页数: 7页
• 语种: 英文

摘要

The nonlocal symmetry of the Sawada-Kotera(SK)equation is constructed with the known Lax pair.By introducing suitable and simple auxiliary variables,the nonlocal symmetry is localized and the finite transformation and some new solutions are obtained further.On the other hand,the group invariant solutions of the SK equation are constructed with the classic Lie group method.In particular,by a Galileo transformation some analytical soliton-cnoidal interaction solutions of a asymptotically integrable equation are discussed in graphical ways.