MOVING NONLINEAR LOCALIZED MODES FOR ONE-DIMENSIONAL KLEIN－GORDON DIATOMIC LATTICE

doi:10.1088/1009-1963/10/8/303

中国物理B ›› 2001, Vol. 10 ›› Issue (8): 689-693.doi: 10.1088/1009-1963/10/8/303

MOVING NONLINEAR LOCALIZED MODES FOR ONE-DIMENSIONAL KLEIN－GORDON DIATOMIC LATTICE

颜家壬¹, 潘留仙², 周光辉³

(1)Department of Physics and Institute of Nonlinear Physics, Hunan Normal University, Changsha 410081, China; (2)Department of Physics and Institute of Nonlinear Physics, Hunan Normal University, Changsha 410081, China; Department of Physics, Yiyang Teacher's College, Yiyang 413049, China; (3)Department of Physics and Institute of Nonlinear Physics, Hunan Normal University, Changsha 410081, China; International Center for Materials Physics, Chinese Academy of Science, Shenyang 110015, China

收稿日期:2000-07-17 修回日期:2001-03-21 出版日期:2001-08-15 发布日期:2005-06-12
基金资助:
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).

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; ^bInternational Center for Materials Physics, Chinese Academy of Science, Shenyang 110015, China; ^c Department of Physics, Yiyang Teacher's College, Yiyang 413049, China

Received:2000-07-17 Revised:2001-03-21 Online:2001-08-15 Published:2005-06-12
Supported by:
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).

摘要/Abstract

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 lattice 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.

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.

Key words: diatomic lattice, localized modes, semi-discrete approximation

中图分类号: (Localized modes)

63.20.Pw

周光辉, 潘留仙, 颜家壬. MOVING NONLINEAR LOCALIZED MODES FOR ONE-DIMENSIONAL KLEIN－GORDON DIATOMIC LATTICE[J]. 中国物理B, 2001, 10(8): 689-693.

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[J]. Chinese Physics, 2001, 10(8): 689-693.

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MOVING NONLINEAR LOCALIZED MODES FOR ONE-DIMENSIONAL KLEIN－GORDON DIATOMIC LATTICE

MOVING NONLINEAR LOCALIZED MODES FOR ONE-DIMENSIONAL KLEIN－GORDON DIATOMIC LATTICE

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