ERIC Number: EJ860671
Record Type: Journal
Publication Date: 2009-Nov
Pages: 13
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0143-0807
EISSN: N/A
Higher Order Corrections for Shallow-Water Solitary Waves: Elementary Derivation and Experiments
Halasz, Gabor B.
European Journal of Physics, v30 n6 p1311-1323 Nov 2009
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.)
Descriptors: Factor Structure, Motion, Equations (Mathematics), Theories, Computer Uses in Education, Foreign Countries, Higher Education
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Hungary (Budapest); United Kingdom
Grant or Contract Numbers: N/A