@article {10.3844/jmssp.2013.256.261,
article_type = {journal},
title = {SOLITARY WAVE MODULATION IN AN ARTERY WITH STENOSIS FILLED WITH A VISCOUS FLUID},
author = {Choy, Yaan Yee and Tay, Kim Gaik and Ong, Chee Tiong},
volume = {9},
year = {2013},
month = {Sep},
pages = {256-261},
doi = {10.3844/jmssp.2013.256.261},
url = {https://thescipub.com/abstract/jmssp.2013.256.261},
abstract = {In this study, the derivation of mathematical model for the wave modulation through an incompressible viscous fluid contained in a prestressed thin stenosed elastic tube is presented. The artery is assumed to be incompressible, prestressed thin walled elastic tube with a symmetrical stenosis, whereas the blood is considered to be incompressible and Newtonian fluid. By utilizing the nonlinear equations of tube and fluid, the weakly nonlinear wave modulation in such a medium is examined. Employing the reductive perturbation method and considering the long-wave approximation, we showed that the third-order term in the perturbation expansion is governed by the dissipative nonlinear Schrodinger equation with variable coefficient. Our results shown that this type of equation admits a downward bell-shape wave propagates to the right as time increases with decreasing wave amplitude.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}