Numerical solution of Boussinesq equations as a model of interfacial-wave propagation.
Wiryanto, L.H. (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Displaying similar documents to “Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation.”
Numerical solution of Boussinesq equations as a model of interfacial-wave propagation.
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The Benney-Luke equation (BL) is a model for the evolution of three-dimensional weakly nonlinear, long water waves of small amplitude. In this paper we propose a nearly conservative scheme for the numerical resolution of (BL). Moreover, it is known (Paumond, Differential Integral Equations 16 (2003) 1039–1064; Pego and Quintero, Physica D 132 (1999) 476–496) that (BL) is linked to the Kadomtsev-Petviashvili equation for almost one-dimensional waves propagating in one direction. We study...