Numerical approximation to Benjamin type equations. Generation and stability of solitary waves

DOI10.1016/j.wavemoti.2018.11.002zbMath1464.76016arXiv1712.00485OpenAlexW2963588182MaRDI QIDQ2191918

Dimitrios Mitsotakis, A. Durán, Vassilios A. Dougalis

Publication date: 26 June 2020

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

Full work available at URL: https://arxiv.org/abs/1712.00485

zbMATH Keywords

Runge-Kutta methodPetviashvili methodFourier pseudospectral collocation methodsolitary puls perturbation

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Solitary waves for incompressible inviscid fluids (76B25) Spectral methods applied to problems in fluid mechanics (76M22) Hydrodynamic stability (76E99)

Related Items (7)

Linear-implicit and energy-preserving schemes for the Benjamin-type equations ⋮ Numerical computation of solitary wave solutions of the Rosenau equation ⋮ On the numerical approximation of Boussinesq/Boussinesq systems for internal waves ⋮ Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation ⋮ Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations ⋮ Free surface flows in electrohydrodynamics with a constant vorticity distribution ⋮ Editorial. Theoretical and numerical advances in wave science

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