A spectral method for the equal width equation

doi:10.1006/jcph.1996.0101

A spectral method for the equal width equation

1996-05-01

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Bosco Garcı́a-Archilla

DOI：10.1006/jcph.1996.0101

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Abstract

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A spectral discretization of the equal width equation (EWE) is presented. The method is shown to be convergent and nonlinearly stable. Time-stepping is performed with high-order Adams methods. The spectral accuracy of the scheme reveals some features of the EWE that the methods previously used could not bare out properly. For instance, we may now study the changes in amplitude and velocity of solitary waves after collisions. (C) 1996 Academic Press, Inc.

Keywords:

NONLINEAR DISPERSIVE WAVES

SOLITARY WAVES

GALERKIN METHODS

MODEL

A spectral method for the equal width equation

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