Dynamics of narrow solitons in two Ablowitz-Ladik chains with different interchain couplings

被引：3
|
作者：
Primatarowa, M. T. [1 ]
Kamburova, R. S. [1 ]
机构：
[1] Bulgarian Acad Sci, Georgi Nadjakov Inst Solid State Phys, BU-1784 Sofia, Bulgaria
来源：
17TH INTERNATIONAL SCHOOL ON CONDENSED MATTER PHYSICS (ISCMP): OPEN PROBLEMS IN CONDENSED MATTER PHYSICS, BIOMEDICAL PHYSICS AND THEIR APPLICATIONS | 2012年 / 398卷
关键词：
DISCRETE SOLITONS; EQUATIONS;
D O I：
10.1088/1742-6596/398/1/012041
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
We study the evolution of discrete (narrow) solitons in a system of coupled Ablowitz-Ladik (AL) chains. Two types of interchain coupling are investigated: one which admits reduction of the system to the standard (integrable) AL model and one which couples opposite sites of the chains and does not admit reduction to the AL model. The condition for a perfect soliton switching between the two chains is obtained and the characteristics of the direrent couplings are analyzed.
引用
收藏
页数：6
相关论文
共 32 条
  • [1] Solitons in coupled Ablowitz-Ladik chains
    Malomed, BA
    Yang, JK
    [J]. PHYSICS LETTERS A, 2002, 302 (04) : 163 - 170
  • [2] Scattering of solitons from point defects in two coupled Ablowitz-Ladik chains
    Kamburova, R. S.
    Primatarowa, M. T.
    [J]. BULGARIAN CHEMICAL COMMUNICATIONS, 2015, 47 : 283 - 287
  • [3] Soliton-impurity interaction in two Ablowitz-Ladik chains with different coupling
    Kamburova, R. S.
    Primatarowa, M. T.
    [J]. 18TH INTERNATIONAL SCHOOL ON CONDENSED MATTER PHYSICS: CHALLENGES OF NANOSCALE SCIENCE: THEORY, MATERIALS, APPLICATIONS, 2014, 558
  • [4] Dynamics of the Ablowitz-Ladik soliton train
    Doktorov, EV
    Matsuka, NP
    Rothos, VM
    [J]. PHYSICAL REVIEW E, 2004, 69 (05): : 7
  • [5] Propagation of solitons in a randomly perturbed Ablowitz-Ladik chain
    Garnier, J
    [J]. PHYSICAL REVIEW E, 2001, 63 (02):
  • [6] Integrable couplings for the Ablowitz-Ladik lattice through enlarging associated Lax pairs
    Zhang, N
    Xu, XX
    Yang, HX
    [J]. MODERN PHYSICS LETTERS B, 2006, 20 (05): : 253 - 259
  • [7] Generalized Darboux transformation and solitons for the Ablowitz-Ladik equation in an electrical lattice
    Wu, Xi -Hu
    Gao, Yi-Tian
    [J]. APPLIED MATHEMATICS LETTERS, 2023, 137
  • [8] INTEGRABLE DYNAMICS OF A DISCRETE CURVE AND THE ABLOWITZ-LADIK HIERARCHY
    DOLIWA, A
    SANTINI, PM
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (03) : 1259 - 1273
  • [9] DYNAMICS OF THE PERTURBED ABLOWITZ-LADIK SOLITON BEYOND THE ADIABATIC APPROXIMATION
    Doktorov, E. V.
    Matsuka, N. P.
    Rothos, V. M.
    [J]. NONLINEAR WAVES: CLASSICAL AND QUANTUM ASPECTS, 2005, 153 : 489 - 495
  • [10] Discrete fractional soliton dynamics of the fractional Ablowitz-Ladik model
    Fang, Jia-Jie
    Mou, Da-Sheng
    Zhang, Hui-Cong
    Wang, Yue-Yue
    [J]. OPTIK, 2021, 228
1234