Resonance in the collision of two discrete intrinsic localized excitations

被引：25
作者：
Cai, D [1 ]
Bishop, AR
Gronbech-Jensen, N
机构：
[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
来源：
PHYSICAL REVIEW E | 1997年 / 56卷 / 06期
关键词：
D O I：
10.1103/PhysRevE.56.7246
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The collision dynamics of two solitonlike localized excitations in a nonintegrable discrete (1 x 1)-dimensional nonlinear Schrodinger system is studied numerically. It is demonstrated that the collision dynamics exhibits a complicated resonance structure of interlacing bound-state regions and escape regions of localized excitations with a sensitive dependence on the incoming energies of the localized excitations. We emphasize that this resonance is a combined effect of discreteness and nonintegrability of the system and contrast it with topological kink-antikink collisions in phi(4) and related systems.
引用
收藏
页码：7246 / 7252
页数：7
相关论文
共 38 条
  • [11] COMPUTER-SIMULATION OF INTRINSIC LOCALIZED MODES IN ONE-DIMENSIONAL AND 2-DIMENSIONAL ANHARMONIC LATTICES
    BURLAKOV, VM
    KISELEV, SA
    PYRKOV, VN
    [J]. PHYSICAL REVIEW B, 1990, 42 (08): : 4921 - 4927
  • [12] LOCALIZED STATES IN DISCRETE NONLINEAR SCHRODINGER-EQUATIONS
    CAI, D
    BISHOP, AR
    GRONBECHJENSEN, N
    [J]. PHYSICAL REVIEW LETTERS, 1994, 72 (05) : 591 - 595
  • [13] Perturbation theories of a discrete, integrable nonlinear Schrodinger equation
    Cai, D
    Bishop, AR
    GronbechJensen, N
    [J]. PHYSICAL REVIEW E, 1996, 53 (04): : 4131 - 4136
  • [14] RESONANCE STRUCTURE IN KINK ANTIKINK INTERACTIONS IN PHI-4 THEORY
    CAMPBELL, DK
    SCHONFELD, JF
    WINGATE, CA
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1983, 9 (1-2) : 1 - 32
  • [15] KINK-ANTIKINK INTERACTIONS IN THE DOUBLE SINE-GORDON EQUATION
    CAMPBELL, DK
    PEYRARD, M
    SODANO, P
    [J]. PHYSICA D, 1986, 19 (02): : 165 - 205
  • [16] CAMPBELL DK, 1990, CHAOS SOVIET AM PERS
  • [17] CHRISTANSEN PL, 1993, PHYSICA D, V68
  • [18] ENERGY LOCALIZATION IN NONLINEAR LATTICES
    DAUXOIS, T
    PEYRARD, M
    [J]. PHYSICAL REVIEW LETTERS, 1993, 70 (25) : 3935 - 3938
  • [19] DISCRETENESS EFFECTS ON THE FORMATION AND PROPAGATION OF BREATHERS IN NONLINEAR KLEIN-GORDON EQUATIONS
    DAUXOIS, T
    PEYRARD, M
    WILLIS, CR
    [J]. PHYSICAL REVIEW E, 1993, 48 (06): : 4768 - 4778
  • [20] Faddeev L. D, 1987, HAMILTONIAN METHODS
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