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A Spectral Method for the Equal Width Equation

✍ Scribed by Bosco Garcı́a-Archilla

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
294 KB
Volume
125
Category
Article
ISSN
0021-9991

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✦ Synopsis

accuracy of the spatial discretization (global errors in the range 10 Ϫ9 -10 Ϫ11 ) is maintained while allowing for large A spectral discretization of the equal width equation (EWE) is presented. The method is shown to be convergent and nonlinearly stepsizes.

stable. Time-stepping is performed with high-order Adams meth-We show that the method is nonlinearly stable and conods. The spectral accuracy of the scheme reveals some features vergent with arbitrarily high order. Although for simplicity of the EWE that the methods previously used could not bare out we treat only the EWE, both the numerical method and properly. For instance, we may now study the changes in amplitude the analysis may be straightforwardly extended to the and velocity of solitary waves after collisions.

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