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Chin. Phys. B, 2022, Vol. 31(10): 100502    DOI: 10.1088/1674-1056/ac70c0
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Fusionable and fissionable waves of (2+1)-dimensional shallow water wave equation

Jing Wang(王静)1, Xue-Li Ding(丁学利)1, and Biao Li(李彪)2
1. Basic Teaching Department, Fuyang Institute of Technology, Fuyang 236000, China;
2. School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China
Abstract  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.
Keywords:  fissionable wave      fusionable wave      breather wave      higher-order lump  
Received:  11 April 2022      Revised:  10 May 2022      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.Jr (Partial differential equations)  
Fund: Project supported by the Excellent Talents Project of Colleges and Universities in Anhui Province of China (Grant No. gxyqZD2020077), the School-level Scientific Research Projects (Grant No. 2021KYXM08), the National Natural Science Foundation of China (Grant No. 11775121), and K. C. Wong Magna Fund in Ningbo University.
Corresponding Authors:  Biao Li     E-mail:

Cite this article: 

Jing Wang(王静), Xue-Li Ding(丁学利), and Biao Li(李彪) Fusionable and fissionable waves of (2+1)-dimensional shallow water wave equation 2022 Chin. Phys. B 31 100502

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