Galerkin Spectral Method for the 2D Solitary Waves of Boussinesq Paradigm Equation

Galerkin Spectral Method for the 2D Solitary Waves of Boussinesq Paradigm Equation

We consider the 2D stationary propagating solitary waves of the so-called Boussinesq Paradigm equation. The fourth- order elliptic boundary value problem on infinite interval is solved by a Galerkin spectral method. An iterative procedure based on artificial time ('false transients') and o...

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Hauptverfasser: Christou, M A, Christov, C I
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BOUNDARY-VALUE PROBLEMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ITERATIVE METHODS
SOLITONS
TRANSIENTS
TWO-DIMENSIONAL CALCULATIONS
VELOCITY
WAVE EQUATIONS
WAVE PROPAGATION
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Christov, C I
description We consider the 2D stationary propagating solitary waves of the so-called Boussinesq Paradigm equation. The fourth- order elliptic boundary value problem on infinite interval is solved by a Galerkin spectral method. An iterative procedure based on artificial time ('false transients') and operator splitting is used. Results are obtained for the shapes of the solitary waves for different values of the dispersion parameters for both subcritical and supercritical phase speeds.
doi_str_mv 10.1063/1.3265332
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subjects BOUNDARY-VALUE PROBLEMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ITERATIVE METHODS
SOLITONS
TRANSIENTS
TWO-DIMENSIONAL CALCULATIONS
VELOCITY
WAVE EQUATIONS
WAVE PROPAGATION
title Galerkin Spectral Method for the 2D Solitary Waves of Boussinesq Paradigm Equation
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