Exact solutions for the shallow water equations in two spatial dimensions: A model for finite amplitude rogue waves
Exact solutions for the shallow water equations in two spatial dimensions are obtained from a matrix formulation of the governing system. These fully nonlinear long waves exhibit linear velocity and quadratic free surface displacement fields in the spatial variables. No breaking phenomenon is observ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818122000523 |