SOLITON-LIKE SOLUTIONS AND OTHER WAVE PATTERNS IN THE NONLOCAL MODEL OF STRUCTURED MEDIA

A set of invariant (travelling wave) solutions of a modelling system Adescribing strong pulse loading afteraction in medium with internal Astructure is considered. Using the well known symmetry reduction Amethod we perform the transition from the initial system of PDE to a Athird-order dynamical system. Employing the qualitative theory methods Aas well as direct numerical simulation, we study the appearance of multiperiodic, quasiperiodic, chaotic and soliton-like invariant Asolutions. Parametric portraits are presented and the structure of a Aset of parameter values, corresponding to the soliton-like solutions, Ais analyzed. Within the method applied this set manifests fractal Afeatures.