Modulated blood waves in the coupled complex Ginzburg–Landau equations of Jeffrey fluids in arteries
Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde, I, P.O. Box 812, Yaounde, Cameroon
2 African Centre for Advanced Studies, P.O. Box 4477, Yaounde, Cameroon
3 Botswana International University of Science and Technology, Private Bag 16 , Palapye, Botswana
4 National Advanced School of Engineering of Maroua, University of Maroua, P.O. Box 46, Maroua, Cameroon
Accepted: 4 February 2023
Published online: 24 February 2023
Modulational instability of continuous-wave solutions is investigated in Jeffrey fluids with application to blood flow in arteries. The multiple-scale expansion is used to show that backward propagating dissipative blood waves can be studied through a set of nonlinearly coupled complex Ginzburg–Landau equations. Characteristics of the modulational instability are produced, where the instability gain spectrum is investigated under both low and high viscous effects. In the two regimes, the most obvious effect is the enlargement of the instability bandwidth while increasing the viscosity coefficient.
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