Resonance Y-type soliton solutions and some new types of hybrid solutions in the (2+1)-dimensional Sawada-Kotera equation

• 作者: Jiaheng Li Qingqing Chen Biao Li
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（4）
• 所属期刊栏目: MATHEMATICAL PHYSICS
• 页码范围: 52-57
• 页数: 6页
• 语种: 英文

摘要

In this paper,based on.N-soliton solutions,we introduce a new constraint among parameters to find the resonance Y-type soliton solutions in (2+ 1)-dimensional integrable systems.Then,we take the (2+ 1)-dimensional Sawada-Kotera equation as an example to illustrate how to generate these resonance Y-type soliton solutions with this new constraint.Next,by the long wave limit method,velocity resonance and module resonance,we can obtain some new types of hybrid solutions of resonance Y-type solitons with line waves,breather waves,high-order lump waves respectively.Finally,we also study the dynamics of these interaction solutions and indicate mathematically that these interactions are elastic.