非局部介质中波场的特性
Peculiarities of wave fields in nonlocal media
摘要：
本文综述了用非局部流体动力学模型描述结构性非平衡介质中波场的研究。由于模型的对称性，我们得到了满足自治动力系统的不变波解。利用数值和定性分析的方法，我们已经证明了这些系统具有周期，多周期，准周期，混沌和孤子类的解决方案。研究了非线性度和非局域度变化引起的分岔现象。
英文摘要：
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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