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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2004, 9(1), 117-123;

Similarity Analysis of Long Wave Equations with Variable Bottom Friction

Faculty of Engineering, Celal Bayar University, 45140, Muradiye, Manisa, Turkey
Author to whom correspondence should be addressed.
Published: 1 April 2004
PDF [335 KB, uploaded 31 March 2016]


Long wave equations propagating along an open channel with bottom friction are considered. The equations are cast into a non-dimensional form, Scaling and translational symmetries of the equations are calculated for the cases of constant bottom friction coefficient and variable bottom friction coefficient. Using the symmetries, the partial differential equations are transformed into ordinary differential equations. Analytical and numerical solutions of the ordinary differential equations are found and solutions are contrasted with each other.
Keywords: Long Waves; Bottom Friction; Similarity Analysis Long Waves; Bottom Friction; Similarity Analysis
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Kiliç, M.A.; Pakdemirli, M.; Solmaz, B. Similarity Analysis of Long Wave Equations with Variable Bottom Friction. Math. Comput. Appl. 2004, 9, 117-123.

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