journal6 ›› 2008, Vol. 29 ›› Issue (2): 58-61.

• 物理与电子 • 上一篇    下一篇

阻尼作用下双阱势氢键链中的包络暗孤子

  

  1. (1.湖南工程学院应用技术学院,湖南 湘潭 411101;2.湘潭大学近代物理研究所,湖南 湘潭 411105)
  • 出版日期:2008-03-25 发布日期:2012-05-25
  • 作者简介:徐海清(1980-),女,湖南株洲人,湖南工程学院应用技术学院教师,主要从事孤立子和混沌控制的研究.
  • 基金资助:

    湖南省教育厅科学研究项目(07C754)

Dark Envelope Soliton in the Hydrogen-Bonded Chain with Double-Well Potentials Under Damping

  1. (1.Faculty of Applied Technology,Hunan Institute of Engineering,Xiangtan 411101,Hunan China;2.Institute of Modern Physics,Xiangtan University,Xiangtan 411105,Hunan China)
  • Online:2008-03-25 Published:2012-05-25

摘要:利用多重尺度法,研究了弱阻尼作用下带有对称双阱势的氢键链中的波动行为,发现在0(ε)级阻尼作用下,原来在布里渊区中心和边界处的非传播孤子变为以群速度为λ传播的孤子,且其格波幅度和群速度都会随时间发生变化.同时由晶格动力学方程出发导出了耗散型的非线性Schrdinger方程,并对方程进行解析求解,结果表明:在0(ε)级阻尼作用下,对称双阱势氢键链中存在一种传播的包络暗孤子解.

关键词: 阻尼作用, 多重尺度方法, 包络暗孤子

Abstract: By the method of multiple scales,we have investigated the behavior of waves in a hydrogen-bonded chain with symmetric double-well potentials under damping  and found that the amplitude of the lattice waves decreases and the group velocity becomes slow under the action of damping.At the same time,we have derived the Damped NLS Equation and obtained its analytical solution.The results show that:there exists propagating dark envelope soliton in the hydrogen-bonded chain with symmetric double-well potentials under the damping.

Key words: damping, method of multiple scales, dark envelope soliton

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