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

来源：

PHYSICS LETTERS A | 1998年 / 246卷 / 1-2期

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

页码：129 / 134

页数：6

共 20 条

[1] UNIFIED APPROACH TO INTERPRETATION OF DISPLACIVE AND ORDER-DISORDER SYSTEMS .2. DISPLACIVE SYSTEMS [J].