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Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies
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Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies
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We studied the kink-antikink collision process for the "double sine-Gordon" (DSG) equation in 1+1 dimensions at different values of the potential parameter $R>0$. For small values of $R$ we discuss the problem of resonance frequencies. 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-range interaction between kink and antikink takes place.
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Cited by 1 Pith paper
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Kink collisions in a two-dimensional gravity model
In a 2D dilaton-gravity model, stronger gravity shifts kink-antikink bounce windows to higher speeds and narrows them, leaves a lasting contraction of the conformal scale, and produces no curvature singularity in the ...
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