MOVING NONLINEAR LOCALIZED MODES FOR ONE-DIMENSIONAL KLEIN－GORDON DIATOMIC LATTICE
Zhou Guang-hui (周光辉)ab, Pan Liu-xian (潘留仙)ac, Yan Jia-ren (颜家壬)a
a Department of Physics and Institute of Nonlinear Physics, Hunan Normal University, Changsha 410081, China; b International Center for Materials Physics, Chinese Academy of Science, Shenyang 110015, China; c Department of Physics, Yiyang Teacher's College, Yiyang 413049, China
Abstract We study analytically the moving nonlinear localized vibrational modes (discrete breathers) for a one-dimensional Klein－Gordon diatomic lattice in the whole $\omega(q)$ 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 lattice system can occur with certain carrier wave vectors and vibrational frequencies in separate regions of the $\omega(q)$ plane. However, the kink envelope moving modes have not been reported previously for this lattice system.
Received: 17 July 2000
Revised: 21 March 2001
Accepted manuscript online:
PACS:
63.20.Pw
(Localized modes)
Fund: Project supported by the Science Foundation of Hunan Education Commission (Grant No. 980506) and partly by the National Natural Science Foundation of China (Grant No. 19775013).
Cite this article:
Zhou Guang-hui (周光辉), Pan Liu-xian (潘留仙), Yan Jia-ren (颜家壬) MOVING NONLINEAR LOCALIZED MODES FOR ONE-DIMENSIONAL KLEIN－GORDON DIATOMIC LATTICE 2001 Chinese Physics 10 689
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