Analytical Study of Moving Excitations for One-dimensional Homogeneous Lattice with Quartic Anharmonicity

J Mater Sci Technol ›› 1999, Vol. 15 ›› Issue (04): 345-347.

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Analytical Study of Moving Excitations for One-dimensional Homogeneous Lattice with Quartic Anharmonicity

Guanghui ZHOU, Jiaren YAN

Physics Department and Institute of Nonlinear Science, Hunan Normal University, Changsha 410081, China; International Center for Materials Physics, Chinese Academy of Sciences, Shenyang 110015, China

Received:1999-01-15 Revised:1999-03-02 Online:1999-07-28 Published:2009-10-10
Contact: Guanghui ZHOU

Abstract

Abstract: The moving nonlinear excitations (intrinsic localized vibrational modes) for one-dimensional homogeneous monoatomic lattice with quartic anharmonicity are obtained analytically by means of the semidiscrete approximation, with which the carrier wave is treated explicitly while the envelope function is described in the continuum approximation. Besides the moving pulse-like type of excitations, which was found previously in both analytical and numerical works, we find that the moving kink-like type of excitations can also exist. And the kink-like excitations appeared previously only in the stationary form for such a lattice system.

Key words:

Guanghui ZHOU, Jiaren YAN. Analytical Study of Moving Excitations for One-dimensional Homogeneous Lattice with Quartic Anharmonicity[J]. J Mater Sci Technol, 1999, 15(04): 345-347.

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Analytical Study of Moving Excitations for One-dimensional Homogeneous Lattice with Quartic Anharmonicity

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