On the steady solitary-wave solution of the Green-Naghdi equations of different levels

DOI10.1016/j.wavemoti.2014.08.009zbMath1456.35076OpenAlexW2007909183WikidataQ60018243 ScholiaQ60018243MaRDI QIDQ1727671

M. Hayatdavoodi, R. Cengiz Ertekin, Wenyang Duan, Binbin Zhao

Publication date: 20 February 2019

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2014.08.009

zbMATH Keywords

solitary waveparticle trajectoriessteady solutionhigh-level Green-Naghdi equations

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (5)

High-order strongly nonlinear long wave approximation and solitary wave solution ⋮ Numerical verification of a two-layer Boussinesq-type model for surface gravity wave evolution ⋮ Study on the head-on collisions of two-dimensional trains of solitons ⋮ Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity ⋮ Steady solution of solitary wave and linear shear current interaction

Cites Work

• Particle dynamics in the KdV approximation
• Conservation of mechanical energy and circulation in the theory of inviscid fluid sheets
• Efficient computation of steady solitary gravity waves
• Eulerian and Lagrangian aspects of surface waves
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• On the mass, momentum, energy and circulation of a solitary wave. II
• Directed fluid sheets
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• Particle trajectories in solitary water waves
• The solitary wave of maximum amplitude
• A ninth-order solution for the solitary wave
• Experimental Study of the Velocity Field in Solitary Water Waves
• A derivation of the Green-Naghdi equations for irrotational flows

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