%0 Journal Article
	%A E. G. Bautista and  J. M. Reyes and  O. Bautista and  J. C. Arcos
	%D 2013
	%J International Journal of Physical and Mathematical Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 79, 2013
	%T Deformation of Water Waves by Geometric Transitions with Power Law Function Distribution
	%U https://publications.waset.org/pdf/16502
	%V 79
	%X In this work, we analyze the deformation of surface
waves in shallow flows conditions, propagating in a channel of
slowly varying cross-section. Based on a singular perturbation
technique, the main purpose is to predict the motion of waves by
using a dimensionless formulation of the governing equations,
considering that the longitudinal variation of the transversal section
obey a power-law distribution. We show that the spatial distribution
of the waves in the varying cross-section is a function of a kinematic
parameter,κ , and two geometrical parameters εh
and w ε . The above
spatial behavior of the surface elevation is modeled by an ordinary
differential equation. The use of single formulas to model the varying
cross sections or transitions considered in this work can be a useful
approximation to natural or artificial geometrical configurations.

	%P 1187 - 1194