ENVELOPE SOLITON AS AN INTRINSIC LOCALIZED MODE IN A ONE-DIMENSIONAL NONLINEAR LATTICE

被引:104
|
作者
YOSHIMURA, K [1 ]
WATANABE, S [1 ]
机构
[1] YOKOHAMA NATL UNIV,FAC ENGN,DEPT ENERGY ENGN,HODOGAYA KU,YOKOHAMA,KANAGAWA 240,JAPAN
关键词
D O I
10.1143/JPSJ.60.82
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An envelope soliton in a nonlinear lattice has been studied theoretically and numerically. First, the nonlinear Schrodinger equation describing a lattice wave with large wave number is derived and then the equation of motion for the nonlinear lattice is solved numerically taking the one envelope soliton solution of the nonlinear Schrodinger equation as an initial wave. It is shown that the envelope soliton with zero group velocity exists stably in the lattice and that the frequency of carrier wave is above the cut-off frequency of the lattice. An intrinsic localized mode in the nonlinear lattice developed by Takeno is pointed out to be the envelope soliton with zero group velocity.
引用
收藏
页码:82 / 87
页数:6
相关论文
共 50 条
  • [1] Supertransmission channel for an intrinsic localized mode in a one-dimensional nonlinear physical lattice
    Sato, M.
    Nakaguchi, T.
    Ishikawa, T.
    Shige, S.
    Soga, Y.
    Doi, Y.
    Sievers, A. J.
    [J]. CHAOS, 2015, 25 (10)
  • [2] PROPAGATION OF A SOLITON AND A NONLINEAR SELF-LOCALIZED STATE IN A ONE-DIMENSIONAL DISORDERED NONLINEAR LATTICE
    TAKENO, S
    HOMMA, S
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1991, 60 (03) : 731 - 734
  • [3] Switching dynamics and linear response spectra of a driven one-dimensional nonlinear lattice containing an intrinsic localized mode
    Sato, M.
    Imai, S.
    Fujita, N.
    Shi, W.
    Takao, Y.
    Sada, Y.
    Hubbard, B. E.
    Ilic, B.
    Sievers, A. J.
    [J]. PHYSICAL REVIEW E, 2013, 87 (01):
  • [4] Data-driven intrinsic localized mode detection and classification in one-dimensional crystal lattice model
    Bajars, Janis
    Kozirevs, Filips
    [J]. PHYSICS LETTERS A, 2022, 436
  • [5] Intrinsic resonant modes for a one-dimensional lattice with a soft optic mode
    Kiselev, SA
    Lai, R
    Sievers, AJ
    [J]. PHYSICAL REVIEW B, 1998, 57 (06): : 3402 - 3405
  • [6] Nonlinear localized modes in a one-dimensional diamond-structure lattice
    Zhou, GH
    Xia, QL
    Yan, JR
    [J]. ACTA PHYSICA SINICA, 2000, 49 (09) : 1741 - 1746
  • [7] Propagating intrinsic localized mode in a cyclic, dissipative, self-dual one-dimensional nonlinear transmission line
    Sato, M.
    Furusawa, H.
    Soga, Y.
    Sievers, A. J.
    [J]. PHYSICAL REVIEW E, 2023, 107 (03)
  • [8] Inductive intrinsic localized modes in a one-dimensional nonlinear electric transmission line
    Sato, M.
    Mukaide, T.
    Nakaguchi, T.
    Sievers, A. J.
    [J]. PHYSICAL REVIEW E, 2016, 94 (01)
  • [9] A PROPAGATING SELF-LOCALIZED MODE IN A ONE-DIMENSIONAL LATTICE WITH QUARTIC ANHARMONICITY
    TAKENO, S
    HORI, K
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1990, 59 (09) : 3037 - 3040
  • [10] PROPAGATION OF A LOCALIZED IMPULSE ON A ONE-DIMENSIONAL LATTICE
    MERCHANT, DL
    BRILL, OL
    [J]. AMERICAN JOURNAL OF PHYSICS, 1973, 41 (01) : 55 - 59