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
  • [31] SYNCHRONIZATION OF PERTURBED SINE-GORDON SOLITON OSCILLATORS
    CIRILLO, M
    BISHOP, AR
    LOMDAHL, PS
    PHYSICAL REVIEW B, 1989, 39 (07): : 4804 - 4807
  • [32] ULAM MODEL FOR THE SINE-GORDON SOLITON SYSTEM
    ABDULLAEV, FK
    DARMANYAN, SA
    UMAROV, BA
    PHYSICAL REVIEW A, 1990, 41 (08): : 4498 - 4500
  • [33] DILUTE SINE-GORDON SOLITON GAS LIMIT IN THE STATISTICAL-MECHANICS OF DOUBLE SINE-GORDON SYSTEMS
    GIACHETTI, R
    SORACE, E
    TOGNETTI, V
    PHYSICS LETTERS A, 1988, 128 (05) : 256 - 259
  • [34] EXACT SOLUTION OF THE SOLITON-PHONON THEORY FOR THE CLASSICAL SINE-GORDON THERMODYNAMICS
    CHUNG, SG
    PROGRESS OF THEORETICAL PHYSICS, 1992, 88 (01): : 29 - 33
  • [35] UNIFIED APPROACH TO THE CONSERVATION-LAWS AND SOLITON SOLUTION FOR SINE-GORDON SYSTEM
    CHOWDHURY, AR
    GHOSH, C
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1991, 30 (02) : 245 - 249
  • [36] Generalized solution of Sine-Gordon equation
    Chadli, Lalla Saadia
    Melliani, Said
    Moujahid, Abdelaziz
    Elomari, M'hamed
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 87 - 92
  • [37] On the numerical solution of the Sine-Gordon equation
    Program in Applied Mathematics, University of Colorado, Boulder, CO 80309, United States
    不详
    不详
    J. Comput. Phys., 2 (354-367):
  • [38] λφ4 KINK AND SINE-GORDON SOLITON IN THE GUP FRAMEWORK
    Asghari, M.
    Pedram, P.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2014, 23 (04):
  • [39] Analytical solution to sine-Gordon equation
    Eleuch, H.
    Rostovtsev, Y. V.
    JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (09)
  • [40] BOSON TRANSFORMATION AND THE SOLITON SOLUTIONS OF THE SINE-GORDON EQUATION
    OBERLECHNER, G
    UMEZAWA, M
    ZENSES, C
    LETTERE AL NUOVO CIMENTO, 1978, 23 (18): : 641 - 649