Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8412Research ArticleNonlinear Waves Dynamics Modeling in Coaxial Geometrically And Physically Nonlinear Shell Containing Viscous Incompressible Fluid in betweenBlinkovYu Ablinkovua@info.sgu.ruKovalevaI Airinakovaleva1406@gmail.comMogilevichL Imogilevich@sgu.ruSaratov State University named after N.G. ChernyshevskySaratov State Technical University named after Gagarin Yu.AVolga Branch Moscow State University of Railway Transport150320133425108092016Copyright © 2013,2013The present investigation is devoted to the analysis of non-linear deformation waves propagation in physically non-linear coaxial elastic cylinder covers, containing viscous incompressible liquid between them. Wave process in elastic cylinder cover without interactionwith liquid was investigated earlier on the basis of soliton theory. The presence of liquid demanded working out a new mathematical model and computer modeling of the processes,taking place in the system.cylinder coaxial shellsoscillationsdeformation waveshydroelasticityviscous incompressible liquidkink (antikink)Gr.obner basisцилиндрические соосные оболочкиколебанияволны деформациигидроупругостьвязкая несжимаемая жидкостькинк (антикинк)базис Грёбнера