Author/Authors :
Yee, Choy Yaan Universiti Tun Hussein Onn Malaysia - Faculty of Science, Technology and Human Development - Department of Sciences and Mathematics, Malaysia , Tiong, Ong Chee Universiti Teknologl Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Gaik, Tay Kim Universiti Tun Hussein Onn Malaysia - Faculty of Science, Technology and Human Development - Department of Sciences and Mathematics, Malaysia
Abstract :
Wave modulation in an elastic tube has been studied by researchers since year 1979. In the present work, by considering the artery as a prestressed thin elastic tube with a symmetrical stenosis and the blood as an incompressible averaged inviscid fluid. We have studied the amplitude modulation of non-linear waves in such a composite medium by using the reductive perturbation method. The governing equations can be reduced to the non-linear Schrodinger (NLS) equation with variable coefficient. The progressive wave solution to the above non-linear evolution equation is then sought. The non-linear Schrodinger (NLS) equation with variable coefficient shows increasing shock wave propagates to the right as real time passed.
Keywords :
Elastic tube , stenosis , inviscid fluid , nonlinear Schrodinger equation
