Modulated blood waves in the coupled complex Ginzburg–Landau equations of Jeffrey fluids in arteries

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.