Shock-like Waves with Finite Amplitudes

Document Type : Research Paper


1 School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China.

2 School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, P. R. China.

3 School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, P. R. China.

4 National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University,199 Ren-Ai Road, Suzhou, P. R. China.


The tidal wave in the Qiantang River, Hangzhou City, China is quite different from that of the KdV equation, it is a shock-like wave with a finite amplitude. This phenomenon has mathematicians adjusting their solitary wave models on how such waves behave. This paper applies the variational theory to insight into the energy behavior of the tidal wave, which can be modeled by the Benny-Luke equation, and the exp-function method is used to figure out the solution structure. This paper provides a new window for designing energy-harvesting devices from the shock-like waves.


Main Subjects

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Volume 55, Issue 1
January 2024
Pages 1-7
  • Receive Date: 01 January 2024
  • Revise Date: 01 February 2024
  • Accept Date: 02 February 2024