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On a series expansion for the solitary wave

Published online by Cambridge University Press:  21 April 2006

Stephen A. Pennell
Stephen A. Pennell
Affiliation:
Department of Mathematics, University of Lowell, Lowell, MA 01854, USA
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Abstract

The first 27 terms in a series expansion for the profile of a solitary wave are computed. From this, series expansions for the wave amplitude, mass and potential energy are obtained. A previous study indicated that the partial sums of these series converged for small- to medium-amplitude waves and that the diagonal Padé approximants converged for waves of all amplitudes. The data derived here show that this is not the case and that apparent convergence of Padé approximants can be misleading.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 179 , June 1987 , pp. 557 - 561
Copyright
© 1987 Cambridge University Press

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References

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