New Analytical Solution for Nonlinear Shallow Water-Wave Equations
| Autor: | Utku Kânoğlu, Baran Aydin |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Mathematical analysis
Eigenfunction Singular integral 010502 geochemistry & geophysics Wave equation Integral transform 01 natural sciences 010305 fluids & plasmas Waves and shallow water Nonlinear system Geophysics Geochemistry and Petrology Simple (abstract algebra) Position (vector) 0103 physical sciences Calculus 0105 earth and related environmental sciences Mathematics |
| Zdroj: | Pure and Applied Geophysics. 174:3209-3218 |
| ISSN: | 1420-9136 0033-4553 |
| Popis: | We solve the nonlinear shallow water-wave equations over a linearly sloping beach as an initial-boundary value problem under general initial conditions, i.e., an initial wave profile with and without initial velocity. The methodology presented here is extremely simple and allows a solution in terms of eigenfunction expansion, avoiding integral transform techniques, which sometimes result in singular integrals. We estimate parameters, such as the temporal variations of the shoreline position and the depth-averaged velocity, compare with existing solutions, and observe perfect agreement with substantially less computational effort. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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