Head-on collision of solitary waves in fluid-filled elastic tubes (Q812779)

Using the extended Poincaré-Lighthill-Kuo perturbation method, the head-on collision of blood solitary waves in an artery is studied. The obtained results show that, up to \(O(\varepsilon^2)\), the head-on collision of two blood soliton waves is elastic and the solitons preserve their original properties after the collision. The leading-order analytical phase shifts of heat-on collision between two blood solitary waves are derived explicitly. The higher-order corrections may give some secondary structures in the collision event, especially, for the large amplitude case.