On a series expansion for the solitary wave-Reference-Cited by-同舟云学术

On a series expansion for the solitary wave

Published:1987-06 Issue: Volume:179 Page:557-561
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Pennell Stephen A.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference7 articles.

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3. Pennell, S. A. & Su, C. H. 1984 A seventeenth-order series expansion for the solitary wave.J. Fluid Mech. 149,431.

4. Longuet-Higgins, M. S. & Fenton, J. D. 1974 On the mass, momentum, energy and circulation of a solitary wave. II.Proc. R. Soc. Lond. A340,471.

5. Starr, V. T. 1947 Momentum and energy integrals for gravity waves of finite height.J. Mar. Res. 6,175.

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