A Problem in the Classical Theory of Water Waves: Weakly Nonlinear Waves in the Presence of Vorticity

DOI10.1142/S1402925112400128zbMath1362.76014MaRDI QIDQ5737712

R. S. Johnson

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinear wavesvorticityasymptotic expansionssoliton equationswater waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (5)

Shallow water models with constant vorticity ⋮ Weakly nonlinear waves in stratified shear flows ⋮ The role of constant vorticity on weakly nonlinear surface gravity waves ⋮ Nonlinear water waves in shallow water in the presence of constant vorticity: a Whitham approach ⋮ Applicable symbolic computations on dynamics of small-amplitude long waves and Davey-Stewartson equations in finite water depth

Cites Work

• The Stokes conjecture for waves with vorticity
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