Higher Order Corrections for Shallow-Water Solitary Waves: Elementary Derivation and Experiments

Autor/in	Halasz, Gabor B.
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 Verfügbarkeit
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 + Suchen Sie Ihr Suchwort? Faktorenstruktur; Bewegungsablauf; Equations; Mathematics; Gleichungslehre; Theory; Theorie; Computernutzung; Ausland; Hochschulbildung; Hochschulsystem; Hochschulwesen; Großbritannien
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).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10