On Invariant Wave Patterns in Non-Local Model of Structured Media
نویسنده
چکیده
A set of invariant solutions of a modelling system describing long nonlinear waves propagation in medium with internal structure is considered. Using the well known symmetry reduction method we perform transition from the initial system of PDE to a third-order dynamical system. Employing the qualitative theory method as well as direct numerical simulation, we study forms of multiperiodic, quasiperiodic, chaotic and soliton-like invariant solutions. Parametric portraits are presented and the structure of a set of parameters corresponding to the soliton-like solutions is analyzed. Within the method applied it manifests fractal features.
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