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

Beatrice Pelloni, Vassilios A. Dougalis

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)595-606
Number of pages12
JournalMathematics and Computers in Simulation
Issue number4-6
Publication statusPublished - 15 Mar 2001


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