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Nonlinear fluid flows in pipe-like domain problem using variational-iteration method. (English) Zbl 1128.76019
Summary: We investigate the propagation of nonlinear waves in viscoelastic tube filled with incompressible viscous fluid. Various modified KdV equations and modified Burgers equations derived from the discussed problem are solved analytically by He’s variational-iteration method.

MSC:
76D33 Waves for incompressible viscous fluids
76M30 Variational methods applied to problems in fluid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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