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arXiv · 1503.01351

Peculiarities of wave fields in nonlocal media

V. A. Danylenko·S. I. Skurativskyi
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Abstract

The article summarizes the studies of wave fields in structured non-equilibrium media describing by means of nonlocal hydrodynamic models. Due to the symmetry properties of models, we derived the invariant wave solutions satisfying autonomous dynamical systems. Using the methods of numerical and qualitative analysis, we have shown that these systems possess periodic, multiperiodic, quasiperiodic, chaotic, and soliton-like solutions. Bifurcation phenomena caused by the varying of nonlinearity and nonlocality degree are investigated as well.

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V. A. Danylenko, S. I. Skurativskyi. 2015-03-02. Peculiarities of wave fields in nonlocal media. https://arxiv.org/abs/1503.01351

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