Soliton structure dynamics in inhomogeneous media

被引:2
|
作者
Guerrero, LE
Bellorin, A
Gonzalez, JA
机构
[1] Univ Simon Bolivar, Dept Fis, Caracas 1080A, Venezuela
[2] Cent Univ Venezuela, Fac Ciencias, Dept Fis, Caracas 1041A, Venezuela
[3] Inst Venezolano Invest Cient, Ctr Fis, Caracas 1020A, Venezuela
来源
PHYSICA A | 1998年 / 260卷 / 3-4期
关键词
solitons; inhomogeneous media; chaos;
D O I
10.1016/S0378-4371(98)00331-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that soliton interaction with finite-width inhomogeneities can activate a great number of soliton internal modes. We obtain the exact stationary soliton solution in the presence of inhomogeneities and solve exactly the stability problem. We present a Karhunen-Loeve analysis of the soliton structure dynamics as a time-dependent force pumps energy into the translational mode of the kink. We show the importance of the internal modes of the soliton as they can generate shape chaos for the soliton as well as cases in which the first shape mode leads the dynamics. (C) 1998 Elsevier Science B.V. All rights reserved. PACS: 02.30.Jr; 05.45.+b; 52.35.h iw; 52.35.Sb.
引用
收藏
页码:418 / 424
页数:7
相关论文
共 50 条
  • [21] Soliton Propagation in Homogeneous and Inhomogeneous Models for Dna Torsion Dynamics
    Mariano Cadoni
    Roberto De Leo
    Sergio Demelio
    Journal of Nonlinear Mathematical Physics, 2011, 18 : 287 - 319
  • [22] ON THE SOLITON TRANSMISSION IN NONLINEAR INHOMOGENEOUS GRADED-REFRACTIVE INDEX MEDIA
    ELHALAFAWY, FZ
    ELBADAWY, ESA
    ELGAMMAL, MA
    HASAN, MHA
    IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 1987, 36 (02) : 543 - 546
  • [23] Assorted soliton solutions to the nonlinear dispersive wave models in inhomogeneous media
    Akbar, M. Ali
    Abdullah, Farah Aini
    Kumar, Sachin
    Gepreel, Khaled A.
    RESULTS IN PHYSICS, 2022, 39
  • [24] Topological soliton dynamics in media with microscopic rotations
    Dmitriev, SV
    Yoshikawa, N
    Vasiliev, AA
    IUTAM SYMPOSIUM ON MESOSCOPIC DYNAMICS OF FRACTURE PROCESS AND MATERIALS STRENGTH, 2004, 115 : 279 - 288
  • [25] The short envelope soliton dynamics in inhomogeneous dispersive media with allowance for stimulated scattering by damped low-frequency waves
    N. V. Aseeva
    E. M. Gromov
    V. V. Tyutin
    Radiophysics and Quantum Electronics, 2013, 56 : 157 - 166
  • [26] Soliton dynamics induced by periodic spatially inhomogeneous losses in optical media described by the complex Ginzburg-Landau model
    He, Yingji
    Mihalache, Dumitru
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2012, 29 (09) : 2554 - 2558
  • [27] The short envelope soliton dynamics in inhomogeneous dispersive media with allowance for stimulated scattering by damped low-frequency waves
    Aseeva, N. V.
    Gromov, E. M.
    Tyutin, V. V.
    RADIOPHYSICS AND QUANTUM ELECTRONICS, 2013, 56 (03) : 157 - 166
  • [28] DYNAMICS OF SCROLL WAVES IN INHOMOGENEOUS EXCITABLE MEDIA
    PERTSOV, A
    VINSON, M
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1994, 347 (1685): : 687 - 701
  • [29] The effective approach to the inhomogeneous media dynamics modeling
    Kalinchuk, V. V.
    Belyankova, T. I.
    Tosecky, A.
    Structural Dynamics - EURODYN 2005, Vols 1-3, 2005, : 2199 - 2204
  • [30] Spiral wave dynamics in oscillatory inhomogeneous media
    Hendrey, M
    Ott, E
    Antonsen, TM
    PHYSICAL REVIEW E, 2000, 61 (05): : 4943 - 4953