Literaturnachweis - Detailanzeige
Autor/in | Halasz, Gabor B. |
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Titel | Higher Order Corrections for Shallow-Water Solitary Waves: Elementary Derivation and Experiments |
Quelle | In: European Journal of Physics, 30 (2009) 6, S.1311-1323 (13 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0143-0807 |
DOI | 10.1088/0143-0807/30/6/009 |
Schlagwörter | Factor Structure; Motion; Equations (Mathematics); Theories; Computer Uses in Education; Foreign Countries; Higher Education; Hungary (Budapest); United Kingdom |
Abstract | We present an elementary method to obtain the equations of the shallow-water solitary waves in different orders of approximation. The first two of these equations are solved to get the shapes and propagation velocities of the corresponding solitary waves. The first-order equation is shown to be equivalent to the Korteweg-de Vries (KdV) equation, while the second-order equation is solved numerically. The propagation velocity found for the solitary waves of the second-order equation coincides with a known expression, but it is obtained in a simpler way. By measuring the propagation velocity of solitary waves in the laboratory, we demonstrate that the second-order theory gives a considerably improved fit to experimental results. (Contains 1 table and 8 figures.) (As Provided). |
Anmerkungen | Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |