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.
Math. Comput. Appl. 2004, 9(1), 117-123; https://doi.org/10.3390/mca9010117
Published: 1 April 2004
Abstract
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
Share and Cite
MDPI and ACS Style
Kiliç, M.A.; Pakdemirli, M.; Solmaz, B. Similarity Analysis of Long Wave Equations with Variable Bottom Friction. Math. Comput. Appl. 2004, 9, 117-123. https://doi.org/10.3390/mca9010117
AMA Style
Kiliç MA, Pakdemirli M, Solmaz B. Similarity Analysis of Long Wave Equations with Variable Bottom Friction. Mathematical and Computational Applications. 2004; 9(1):117-123. https://doi.org/10.3390/mca9010117
Chicago/Turabian StyleKiliç, M. Anaç, M. Pakdemirli, and B. Solmaz. 2004. "Similarity Analysis of Long Wave Equations with Variable Bottom Friction" Mathematical and Computational Applications 9, no. 1: 117-123. https://doi.org/10.3390/mca9010117
