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Elsevier, Physics Letters A, 1-2(246), p. 129-134, 1998

DOI: 10.1016/s0375-9601(98)00459-9

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

Journal article published in 1998 by S. V. Dmitriev, T. Shigenari, A. A. Vasiliev, A. E. Miroshnichenko ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

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.