TY  - JOUR
AU  - Choy, Yaan Yee 
AU  - Tay, Kim Gaik 
AU  - Ong, Chee Tiong 
PY  - 2013
TI  - SOLITARY WAVE MODULATION IN AN ARTERY WITH STENOSIS FILLED WITH A VISCOUS FLUID
JF  - Journal of Mathematics and Statistics
VL  - 9
IS  - 3
DO  - 10.3844/jmssp.2013.256.261
UR  - https://thescipub.com/abstract/jmssp.2013.256.261
AB  - 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.