Effect of discreteness on a sine-Gordon three-soliton solution

被引:13
|
作者
Dmitriev, SV
Shigenari, T
Vasiliev, AA
Miroshnichenko, AE
机构
[1] Barnaul State Techn Univ, Gen Phys Dept, Barnaul 656099, Russia
[2] Univ Electrocommun, Dept Appl Phys & Chem, Chofu, Tokyo 182, Japan
[3] Tver State Univ, Dept Math Modeling, Tver 170000, Russia
关键词
sine-Gordon equation; many-soliton solution; Frenkel-Kontorova chain; discreteness effect; stochastic instability; inelastic collision;
D O I
10.1016/S0375-9601(98)00459-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The collision between a kink and a high amplitude breather in the Frenkel-Kontorova chain with a small degree of discreteness was studied numerically and the results were compared with an exact three-soliton solution to the sine-Gordon (SG) equation. It was found that there exists a narrow range of parameters of quasiparticles where the collision in the discrete system is strongly inelastic and that the inelastic collision occurs in the vicinity of a separatrix of the SG three-soliton solution. (C) 1998 Elsevier Science B,V.
引用
收藏
页码:129 / 134
页数:6
相关论文
共 50 条
  • [41] CHAOS FOR PINNED SINE-GORDON SOLITON .2.
    FUKUSHIMA, K
    YAMADA, T
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1987, 56 (02) : 467 - 473
  • [42] Numerical Soliton Solutions for a Discrete Sine-Gordon System
    Han, Houde
    Zhang, Jiwei
    Brunner, Hermann
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 6 (04) : 903 - 918
  • [43] Correlations in the sine-Gordon model with finite soliton density
    Aristov, DN
    Luther, A
    PHYSICAL REVIEW B, 2002, 65 (16): : 1 - 11
  • [44] DOUBLE SINE-GORDON EQUATION - SOLITON SCATTERING AND CONVERSION
    KUMAR, P
    SHIEFFMAN, J
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1978, 23 (03): : 274 - 274
  • [45] Chaotic transport in deterministic sine-Gordon soliton ratchets
    Mueller, P.
    Mertens, F. G.
    Bishop, A. R.
    PHYSICAL REVIEW E, 2009, 79 (01):
  • [46] Soliton solutions of the sine-Gordon equation on the half line
    Zhang, Cheng
    Cheng, Qiang
    Zhang, Da-jun
    APPLIED MATHEMATICS LETTERS, 2018, 86 : 64 - 69
  • [47] Soliton ratchets in sine-Gordon systems with additive inhomogeneities
    Stehr, V.
    Mueller, P.
    Mertens, F. G.
    Bishop, A.
    PHYSICAL REVIEW E, 2009, 79 (03):
  • [48] Optimization of soliton ratchets in inhomogeneous sine-Gordon systems
    Mertens, F. G.
    Morales-Molina, L.
    Bishop, A. R.
    Sanchez, A.
    Mueller, P.
    PHYSICAL REVIEW E, 2006, 74 (06):
  • [49] SOLITON DENSITY IN TMMC BEYOND THE SINE-GORDON APPROXIMATION
    PIRES, AST
    GOUVEA, ME
    SOLID STATE COMMUNICATIONS, 1985, 54 (03) : 231 - 232
  • [50] Soliton evolution and radiation loss for the sine-Gordon equation
    Smyth, NF
    Worthy, AL
    PHYSICAL REVIEW E, 1999, 60 (02): : 2330 - 2336