The Behavior of Nonlinear Tsunami Waves Running on the Shelf
The problem of creating methods for calculating tsunami parameters and predicting these dangerous events is currently being solved by integrating the equations of the theory of water waves. Both numerical methods and powerful computers are used, as well as analytical solutions. The essential stage i...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/14/8112 |
| _version_ | 1797590460142714880 |
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| author | Sergey A. Arsen’yev Lev V. Eppelbaum |
| author_facet | Sergey A. Arsen’yev Lev V. Eppelbaum |
| author_sort | Sergey A. Arsen’yev |
| collection | DOAJ |
| description | The problem of creating methods for calculating tsunami parameters and predicting these dangerous events is currently being solved by integrating the equations of the theory of water waves. Both numerical methods and powerful computers are used, as well as analytical solutions. The essential stage is the stage of the tsunami reaching the shelf and shallow coastal waters. The tsunami amplitude increases here, and nonlinear effects become important. Nonlinearity excludes the solution’s unicity and the superposition principle’s fulfillment. The nonlinear theory can have many solutions, depending on various external conditions; there could be nontrivial ones. In this article, we explore the properties of several nonlinear solutions. With their help, we can find the maximum possible amplitude of tsunami waves when approaching the coast and estimate the seismological parameters of an earthquake-generating tsunami. |
| first_indexed | 2024-03-11T01:20:48Z |
| format | Article |
| id | doaj.art-9624c7adddcf4fde95bbdbb68994add6 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T01:20:48Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-9624c7adddcf4fde95bbdbb68994add62023-11-18T18:08:24ZengMDPI AGApplied Sciences2076-34172023-07-011314811210.3390/app13148112The Behavior of Nonlinear Tsunami Waves Running on the ShelfSergey A. Arsen’yev0Lev V. Eppelbaum1Institute of the Physics of the Earth, Russian Academy of Sciences, Bolshaya Gruzinskaya St., Moscow 123995, RussiaDepartment of Geophysics, Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 6997801, IsraelThe problem of creating methods for calculating tsunami parameters and predicting these dangerous events is currently being solved by integrating the equations of the theory of water waves. Both numerical methods and powerful computers are used, as well as analytical solutions. The essential stage is the stage of the tsunami reaching the shelf and shallow coastal waters. The tsunami amplitude increases here, and nonlinear effects become important. Nonlinearity excludes the solution’s unicity and the superposition principle’s fulfillment. The nonlinear theory can have many solutions, depending on various external conditions; there could be nontrivial ones. In this article, we explore the properties of several nonlinear solutions. With their help, we can find the maximum possible amplitude of tsunami waves when approaching the coast and estimate the seismological parameters of an earthquake-generating tsunami.https://www.mdpi.com/2076-3417/13/14/8112nonlinear theory of shallow watershelf tsunamidissipative solitonsswitching waveearthquake hazard |
| spellingShingle | Sergey A. Arsen’yev Lev V. Eppelbaum The Behavior of Nonlinear Tsunami Waves Running on the Shelf Applied Sciences nonlinear theory of shallow water shelf tsunami dissipative solitons switching wave earthquake hazard |
| title | The Behavior of Nonlinear Tsunami Waves Running on the Shelf |
| title_full | The Behavior of Nonlinear Tsunami Waves Running on the Shelf |
| title_fullStr | The Behavior of Nonlinear Tsunami Waves Running on the Shelf |
| title_full_unstemmed | The Behavior of Nonlinear Tsunami Waves Running on the Shelf |
| title_short | The Behavior of Nonlinear Tsunami Waves Running on the Shelf |
| title_sort | behavior of nonlinear tsunami waves running on the shelf |
| topic | nonlinear theory of shallow water shelf tsunami dissipative solitons switching wave earthquake hazard |
| url | https://www.mdpi.com/2076-3417/13/14/8112 |
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