Small amplitude wave in shallow water over linear and quadratic sloping beds

DOI10.1007/BF02936074zbMath1156.76352OpenAlexW2051381359MaRDI QIDQ1429329

Lokenath Debnath, Dambaru D. Bhatta

Publication date: 18 May 2004

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02936074

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Propagation of surface waves on irregular bed topography

Cites Work

• On the form of the highest progressive and standing waves in deep water
• A Modern Introduction to the Mathematical Theory of Water Waves
• Long Non‐Linear Waves in Fluid Flows
• Long waves on a beach
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