Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies

Authors
Gani, VA Kudryavtsev, AE
Citation
Va. Gani et Ae. Kudryavtsev, Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies, PHYS REV E, 60(3), 1999, pp. 3305-3309
Citations number
6
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
3
Year of publication
1999
Pages
3305 - 3309
Database
ISI
SICI code
1063-651X(199909)60:3<3305:KIITDS>2.0.ZU;2-Y
Abstract
We studied the kink-antikink collision process for the "double sine-Gordon" (DSG) equation in 1+1 dimensions at different values of the potential para meter R>0. For small values of R we discuss the problem of resonance freque ncies. We give qualitative explanation of the frequency shift in comparison with the frequency of the discrete level in the potential well of isolated kink. We show that in this region of the parameter R the effective long-ra nge interaction between kink and antikink takes place. [S1063-651X(99)03308 -5].