Breather molecules and localized interaction solutions in the (2+1)-dimensional BLMP equation

• 作者: Jiaxin Qi Hongli An Peng Jin
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（12）
• 所属期刊栏目: MATHEMATICAL PHYSICS
• 页码范围: 69-77
• 页数: 9页
• 语种: 英文

摘要

The(2+1)-dimensional Boiti-Leon-Manna-Pempinelli(BLMP)equation is an important integrable model.In this paper,we obtain the breather molecule,the breather-soliton molecule and some localized interaction solutions to the BLMP equation.In particular,by employing a compound method consisting of the velocity resonance,partial module resonance and degeneration of the breather techniques,we derive some interesting hybrid solutions mixed by a breather-soliton molecule/breather molecule and a lump,as well as a bell-shaped soliton and lump.Due to the lack of the long wave limit,it is the first time using the compound degeneration method to construct the hybrid solutions involving a lump.The dynamical behaviors and mathematical features of the solutions are analyzed theoretically and graphically.The method introduced can be effectively used to study the wave solutions of other nonlinear partial differential equations.