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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Bibliographische Detailangaben
Hauptverfasser: Christou, M A, Christov, C I
Format: Tagungsbericht
Sprache:eng
Schlagworte:
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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Beschreibung
Zusammenfassung: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.3265332