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Moving nonlinear localized modes for one- dimensional Klein-Gordon Diatomic Lattice

机译:一维Klein-Gordon双原子格的移动非线性局域模

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摘要

We study analytically the moving nonlinear localized vibrational modes (discrete breathers) for a one-dimensional Klein-Gordon diatomic lattice in the whole ω(q) plane of the system by means of a semi-discrete approximation, in Which the carrier wave of the modes is treated explicitly while the envelope is described in the continuum approximation. We find that both pulse and kink envelope moving modes for this olattice system can occur with certain carrier wave Vectors and vibrational frequencies in separate regions of the ω(q) plane. However, the kink envelope moving modes Have not been reported previously for this lattice system.
机译:我们通过半离散近似分析研究系统整个ω(q)平面上一维Klein-Gordon双原子晶格的运动非线性局域振动模式(离散呼吸)。模式以显式方式对待,而包络以连续近似方式描述。我们发现,在某些载波矢量和ω(q)平面的单独区域中的振动频率下,该晶格系统的脉冲和扭结包络运动模式都可能发生。但是,此晶格系统以前尚未报告过扭结包络移动模式。

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