Existence, physical sense and analyticity of solitons for a 2D Boussinesq-Benney-Luke system

DOI10.4310/DPDE.2013.V10.N4.A1zbMath1291.35263OpenAlexW2318347863MaRDI QIDQ2448477

Alex M. Montes, José Rául Quintero

Publication date: 30 April 2014

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/dpde.2013.v10.n4.a1

zbMATH Keywords

variational methodssolitonsanalyticityconcentration-compactness principle

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items (5)

Local well-posedness for a class of 1D Boussinesq systems ⋮ Propagation of water waves over uneven bottom under the effect of surface tension ⋮ On the nonlinear scattering and well-posedness for a 2D-Boussinesq-Benney-Luke type system ⋮ A unique continuation result for a 2D system of nonlinear equations for surface waves ⋮ On the Cauchy problem and solitons for a class of 1D Boussinesq systems

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