Discrete nonlinear excitations on an inhomogeneous lattice in a spatially linear potential |
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| Authors: | Wuming Liu Ke Liu Xiangeng Zhao |
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| Institution: | (1) Institute of Theoretical Physics, Chinese Academy of Sciences, 100080 Beijing, China;(2) Institute of Acoustics, Chinese Academy of Sciences, 100080 Beijing, China;(3) Institute of Applied Physics and Computational Mathematics, 100088 Beijing, China;(4) Institute of Theoretical Physics, Chinese Academy of Sciences, 100080 Beijing, China |
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| Abstract: | Discrete nonlinear excitations on an inhomogeneous lattice in a spatially linear potential are investigated. Discrete breathers
possessing multiple frequencies are always spatially localized and oscillatory in time, with oscillatory frequencies depending
on an external potential. A number of phenomena associated with the translational symmetry of the system is addressed. The
spatially localized, time periodic and quasi-periodic nonlinear coherent excitations comprising multiple-soliton components
are presented with exact results for the corresponding energy, momentum and norm. The mean width of a pulse as a measure of
localization is also studied.
Project supported by the National Natural Science Foundation of China. |
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| Keywords: | an inhomogeneous lattice discrete nonlinear excitation |
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