| Issue |
MATEC Web Conf.
Volume 355, 2022
2021 International Conference on Physics, Computing and Mathematical (ICPCM2021)
|
|
|---|---|---|
| Article Number | 02005 | |
| Number of page(s) | 9 | |
| Section | Mathematical Science and Application | |
| DOI | https://doi.org/10.1051/matecconf/202235502005 | |
| Published online | 12 January 2022 | |
The patterns of traveling wave on shallow water modeled by Green-Naghdi equation
Department of Mathematics, Northeast Petroleum University, Daqing 163318, China
* Corresponding author: haitongwei217@126.com
The Green-Naghdi equations are a shallow water waves model which play important roles in nonlinear wave fields. By using the trial equation method and the Complete discrimination system for the polynomial we obtained the classification of travelling wave patterns. Among those patterns, new singular patterns and double periodic patterns are obtained in the first time. And we draw the graphs which help us to understand the dynamics behaviors of the Green-Naghdi model intuitionally.
Key words: Green-Naghdi equations / Soliton / Shallow water waves / Trial equation method
© The Authors, published by EDP Sciences, 2022
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