中国物理B ›› 2022, Vol. 31 ›› Issue (10): 100502-100502.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. 1. Basic Teaching Department, Fuyang Institute of Technology, Fuyang 236000, China;
    2. School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China
  • 收稿日期:2022-04-11 修回日期:2022-05-10 出版日期:2022-10-16 发布日期:2022-09-24
  • 通讯作者: Biao Li E-mail:libiao@nbu.edu.cn
  • 基金资助:
    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.

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. 1. Basic Teaching Department, Fuyang Institute of Technology, Fuyang 236000, China;
    2. School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China
  • Received:2022-04-11 Revised:2022-05-10 Online:2022-10-16 Published:2022-09-24
  • Contact: Biao Li E-mail:libiao@nbu.edu.cn
  • Supported by:
    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.

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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

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.

Key words: fissionable wave, fusionable wave, breather wave, higher-order lump

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Jr (Partial differential equations)