Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation.
Feng, Bao-Feng, Kawahara, Takuji, Mitsui, Taketomo, Chan, Youn-Sha (2005)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Numerical comparisons of two long-wave limit models”
Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation.
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Wiryanto, L.H. (2005)
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Feng, Bao-Feng (2004)
International Journal of Mathematics and Mathematical Sciences
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A finite element method for extended KdV equations
Anna Karczewska, Piotr Rozmej, Maciej Szczeciński, Bartosz Boguniewicz (2016)
International Journal of Applied Mathematics and Computer Science
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The finite element method (FEM) is applied to obtain numerical solutions to a recently derived nonlinear equation for the shallow water wave problem. A weak formulation and the Petrov-Galerkin method are used. It is shown that the FEM gives a reasonable description of the wave dynamics of soliton waves governed by extended KdV equations. Some new results for several cases of bottom shapes are presented. The numerical scheme presented here is suitable for taking into account stochastic...
An optimal dimension of submerged parallel bars as a wave reflector.
Pudjaprasetya, S.R., Chendra, H.D. (2009)
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Solitary waves, solitons and related (nonlinear) waves in dissipative media.
Manuel G. Velarde (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Mathematical models for laser-plasma interaction
Rémi Sentis (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We address here mathematical models related to the Laser-Plasma Interaction. After a simplified introduction to the physical background concerning the modelling of the laser propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we state a coupling model between the plasma hydrodynamics and the laser propagation. Lastly, we...
Numerical investigation for solitary solutions of the Boussinesq equation.
Al-Khaled, Kamel, Nusier, Ameina S. (2008)
Applied Mathematics E-Notes [electronic only]
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Mathematical models for laser-plasma interaction
Rémi Sentis (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We address here mathematical models related to the Laser-Plasma Interaction. After a simplified introduction to the physical background concerning the modelling of the laser propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we state a coupling model between the plasma hydrodynamics and the laser propagation. Lastly, we...