Title of article
NLS Equation with a Variable Coefficient in a Stenosed Elastic Tube Filled with an Averaged Inviscid Fluid
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
From page
1
To page
13
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
Journal title
Matematika
Journal title
Matematika
Record number
2570105
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