Fusionable and fissionable waves of (2 + 1)-dimensional shallow water wave equation  

作　　者：Jing Wang Xue-Li Ding Biao Li 王静;丁学利;李彪(Basic Teaching Department,Fuyang Institute of Technology,Fuyang 236000,China;School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)

机构地区：[1]Basic Teaching Department,Fuyang Institute of Technology,Fuyang 236000,China [2]School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China

出　　处：《Chinese Physics B》2022年第10期326-330,共5页中国物理B（英文版）

基　　金：Project supported by the Excellent Talents Project of Colleges and Universities in Anhui Province of China (Grant No. gxyq ZD2020077);the School-level Scientific Research Projects (Grant No. 2021KYXM08);the National Natural Science Foundation of China (Grant No. 11775121);K.C.Wong Magna Fund in Ningbo University。

摘　　要：We investigate a(2 + 1)-dimensional shallow water wave equation and describe its nonlinear dynamical behaviors in physics. Based on the N-soliton solutions, the higher-order fissionable and fusionable waves, fissionable or fusionable waves mixed with soliton molecular and breather waves can be obtained by various constraints of special parameters. At the same time, by the long wave limit method, the interaction waves between fissionable or fusionable waves with higher-order lumps are acquired. Combined with the dynamic figures of the waves, the properties of the solution are deeply studied to reveal the physical significance of the waves.

关 键 词：fissionable wave fusionable wave breather wave higher-order lump 

分 类 号：O35[理学—流体力学]