Non-dispersive traveling waves in inclined shallow water channels

DOI10.1016/j.physleta.2009.08.051zbMath1234.76010OpenAlexW2167797171MaRDI QIDQ407835

Ira Didenkulova, Efim Pelinovsky

Publication date: 28 March 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.08.051

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Traveling wave solutions (35C07)

Related Items (6)

Asymptotics of long nonlinear propagating waves in a one-dimensional basin with gentle shores ⋮ Nonlinear wave dynamics in self-consistent water channels ⋮ Unnamed Item ⋮ Asymptotic, Convergent, and Exact Truncating Series Solutions of the Linear Shallow Water Equations for Channels with Power Law Geometry ⋮ Reflectionless wave propagation on shallow water with variable bathymetry and current ⋮ The momentum conservative scheme for simulating nonlinear wave evolution and run-up in U-shaped bays

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