Variational approach for (3+1)-dimensional shallow water wave equation
This paper focuses on the variational approach for solving the (3+1)-dimensional shallow water wave equation. Some families of soliton-type solutions and periodic wave solutions are given, and some remarks about the variational formulation for the special (2+1)-dimensional shallow water wave equatio...
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Format: | Article |
Language: | English |
Published: |
Elsevier
2024-01-01
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Series: | Results in Physics |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723010835 |
Summary: | This paper focuses on the variational approach for solving the (3+1)-dimensional shallow water wave equation. Some families of soliton-type solutions and periodic wave solutions are given, and some remarks about the variational formulation for the special (2+1)-dimensional shallow water wave equation in [Gu, et al. Results in Physics, 45 (2023) 106213] are provided. Numerical results are presented to show the propagation behaviour. |
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ISSN: | 2211-3797 |