Reduction for the nonlinear problem of fluid waves to a system of integro-differential equations with an oceanographical application
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Publication:1298515
DOI10.1016/S0377-0427(98)00072-7zbMath0941.76009OpenAlexW1993603486MaRDI QIDQ1298515
Helal, Mohamed Atef, Moustafa S. Abou-Dina
Publication date: 14 August 2000
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00072-7
Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
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Cites Work
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- Approximate predictions of gravite flows over irregular topography for large Froude number
- Super-critical free-surface flow over a trapezoidal obstacle
- Contributions à la théorie des houles
- Method for Solving the Korteweg-deVries Equation
- A Quadratically Convergent Newton-Like Method Based Upon Gaussian Elimination
- The Korteweg-de Vries equation and water waves. Solutions of the equation. Part 1
- The initial-value problem for long waves of finite amplitude