On interfacial gravity-capillary solitary waves of the Benjamin type and their stability

DOI10.1063/1.1564096zbMath1186.76089OpenAlexW2073531065MaRDI QIDQ3556449

T. R. Akylas, David C. Calvo

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1564096

zbMATH Keywords

nonlinear differential equationssolitonssurface tensionwave equationscapillary waveswater wavesgravity wavesflow simulationflow instabilityfluid oscillationsinterface phenomena

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items

Linear-implicit and energy-preserving schemes for the Benjamin-type equations, Numerical computation of solitary waves in a two-layer fluid, Long-wave transverse instability of interfacial gravity-capillary solitary waves in a two-layer potential flow in deep water, Transverse instability of interfacial solitary waves, Three-dimensional gravity and gravity-capillary interfacial flows, Benjamin-Ono Kadomtsev-Petviashvili's models in interfacial electro-hydrodynamics, Energy-preserving algorithms for the Benjamin equation, Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE, Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation, On the nonlinear stability of solitary wave solutions of the fifth-order Korteweg-de Vries equation, Dynamics of interfacial gravity-capillary waves in three-dimensional fluids of great depth, On weakly nonlinear gravity-capillary solitary waves, Nonlinear three-dimensional interfacial flows with a free surface

Cites Work

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• A new kind of solitary wave
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• Stability of steep gravity–capillary solitary waves in deep water
• Solitary-Wave Solutions of the Benjamin Equation
• On the stability of solitary waves with decaying oscillatory tails
• Internal waves of permanent form in fluids of great depth
• Solitary internal waves in deep water