تقرير
Time-dependent analytic solutions for water waves above sea of varying depths
| العنوان: | Time-dependent analytic solutions for water waves above sea of varying depths |
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| المؤلفون: | Barna, I. F., Pocsai, M. A., Mátyás, L. |
| المصدر: | Mathematics 2022, 10, 2311 |
| سنة النشر: | 2022 |
| المجموعة: | Nonlinear Sciences Physics (Other) |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, Physics - Atmospheric and Oceanic Physics |
| الوصف: | We investigate a hydrodynamic equation system which - with some approximation - is capable to describe the tsunami propagation in the open ocean with the time-dependent self-similar Ansatz. We found analytic solutions how the wave height and velocity behave in time and space for constant and linear seabed functions. First we study waves on open water, where the seabed can be considered relatively constant, sufficiently far from the shore. In the second part of the study we also consider a seabed which is oblique. Finally, we apply the most common traveling wave Ansatz and present almost trivial solutions as well. Comment: 23 pages, 8 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3390/math10132311 |
| URL الوصول: | http://arxiv.org/abs/2202.06314 |
| رقم الأكسشن: | edsarx.2202.06314 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3390/math10132311 |
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