On the Numerical Simulation of Unsteady Solutions for the 2D Boussinesq Paradigm Equation

DOI10.1007/978-3-642-18466-6_46zbMath1318.76013OpenAlexW1587621223MaRDI QIDQ3075291

Daniela Vasileva, Christo I. Christov, Natalia T. Kolkovska

Publication date: 11 February 2011

Published in: Numerical Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-18466-6_46

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Solitary waves for incompressible inviscid fluids (76B25)

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Cites Work

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• Numerical implementation of the asymptotic boundary conditions for steadily propagating 2D solitons of Boussinesq type equations
• Fourier-Galerkin method for 2D solitons of Boussinesq equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Two Families of Finite Difference Schemes for Multidimensional Boussinesq Paradigm Equation
• Iterative Krylov Methods for Large Linear Systems
• INELASTIC INTERACTION OF BOUSSINESQ SOLITONS
• An energy-consistent dispersive shallow-water model.