The nonlinear modulation of waves in a metamaterial mass-in-mass lattice model is studied. The governing continuum nonlinear equation is obtained from the original discrete model. The important differences in the modulated nonlinear wave dynamics on the acoustic or optical bands are described analytically. It is shown that the choice of the band can affect the shape of the modulated nonlinear wave and the modulation velocity. The nonlinearity affects the width of the band gap early obtained in the linear approximation. An inclusion of viscoelastic interaction in the original model results in a new variation of the amplitude of the modulated wave.

中文翻译：

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非线性声学超材料中的波调制

研究了超材料质中量晶格模型中波的非线性调制。控制连续介质非线性方程是从原始离散模型中获得的。分析地描述了声带或光带上调制非线性波动力学的重要差异。结果表明，波段的选择会影响调制非线性波的形状和调制速度。非线性影响早期在线性近似中获得的带隙宽度。在原始模型中包含粘弹性相互作用会导致调制波振幅的新变化。