Solitary water waves propagating on an underlying uniform current over a finite depth

DOI10.1016/j.na.2018.02.003zbMath1390.35256OpenAlexW2791828274MaRDI QIDQ1748237

Biswajit Basu

Publication date: 9 May 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.02.003

zbMATH Keywords

pressuresolitary wavevelocity fieldFroude numberuniform current

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Solitary waves for incompressible inviscid fluids (76B25) Second-order elliptic equations (35J15)

Related Items

Theoretical considerations, flow visualization and pressure measurements for rear-end collisions of two unequal solitary waves ⋮ Velocity field and pressure analysis of equatorial flows beneath solitary water waves ⋮ Numerical investigations of two-dimensional irrotational water waves over finite depth with uniform current

Cites Work

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• An exact integral equation for solitary waves (with new numerical results for some ‘internal’ properties)
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• Nonlinear Water Waves on Uniform Current in Lagrangian Coordinates
• On periodic water-waves and their convergence to solitary waves in the long-wave limit
• The existence of solitary water waves
• Non–existence of solitary water waves in three dimensions
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• Particle trajectories in solitary water waves
• The existence of solitary waves

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