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Numerical modelling of two-way propagation of non-linear dispersive waves

Beatrice Pelloni and Vassilios A. Dougalis

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 55, issue 4, 595-606

Abstract: We describe and implement a fully discrete spectral method for the numerical solution of a class of non-linear, dispersive systems of Boussinesq type, modelling two-way propagation of long water waves of small amplitude in a channel. For three particular systems, we investigate properties of the numerically computed solutions; in particular we study the generation and interaction of approximate solitary waves.

Keywords: Solitary waves; Non-linear two-way propagation; Boussinesq systems (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (2)

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