Effect of discreteness on a sine-Gordon

نویسنده

  • S. V. Dmitriev
چکیده

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. @ 1998 Elsevier Science B.V. Keywwdr: Sine-Gordon equation; Many-soliton solution; Frenkel-Kontorova chain; Discreteness effect; Stochastic instability: Inelastic collision

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تاریخ انتشار 2003