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.
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页码:129 / 134
页数:6
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