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

The collision between a kink and 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 pa...

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Bibliographic Details
Published inPhysics letters. A Vol. 246; no. 1; pp. 129 - 134
Main Authors Dmitriev, S.V., Shigenari, T., Vasiliev, A.A., Miroshnichenko, A.E.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 07.09.1998
Subjects
Discreteness effect
Frenkel-Kontorova chain
Inelastic collision
Many-soliton solution
Sine-Gordon equation
Stochastic instability
Many-soliton solution
Discreteness effect
Inelastic collision
Sine-Gordon equation
Stochastic instability
Frenkel-Kontorova chain
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Summary:The collision between a kink and 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.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(98)00459-9