A stable finite-difference scheme for the Boussinesq equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1998 Italy English Publisher:Springer Science and Business Media LLCJournal:Il Nuovo Cimento D, volume 20, pages 1-17 (issn: 0392-6737, eissn: 1826-9893,

Copyright policy )Funded by:NSF | RIMI: DYNAMIC PROCESSES I...

Authors: SCALERANDI, MARCO; M. GIORDANO; P. P. DELSANTO; C. A. CONDAT;

doi: 10.1007/bf03036033

handle: 11583/1405553

A stable finite-difference scheme for the Boussinesq equation

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Abstract

An explicit discretization scheme for the Boussinesq equation is developed and its (pseudo-) convergence and stability are investigated. This scheme is used to study the soliton properties in the model described by the Boussinesq equation. The emergence of soliton excitations out of prescribed multisoliton and nonsoliton initial conditions is also shown numerically.

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Italy

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