Low-dissipative shock structures with internal non-dissipative shocks

It is found for the model described by generalized Korteweg–Burgers equation that three types of shock structures are observed: stationary, time-periodic and stochastic. Stationary low-dissipative structures contain internal non-dissipative shock structures. These structures are transitions between homogeneous or wave states. Shock structure may be not unique. The type of the shock depends on character of evolution of system. Methods of investigation of branches of two-periodic stationary of Korteweg-de Vries equation are developed. Correspondence between types of shock structures and bifurcations of two-periodic branches is found. Analysis of dependence of shock structure type from amplitude of the shock and parameter of dissipation is fulfilled.