Decay of bound states in a sine-Gordon equation with double-well potentials

Amir Ali, Hadi Susanto, Jonathan A.D. Wattis

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8 Scopus citations


We consider a spatially inhomogeneous sine-Gordon equation with a double-well potential, describing long Josephson junctions with phase-shifts. We discuss the interactions of symmetric and antisymmetric bound states in the system. Using a multiple scale expansion, we show that the modes decay algebraically in time due to the energy transfer from the discrete to the continuous spectrum. In particular, exciting the two modes at the same time yields an increased decay rate. An external time-periodic drive is shown to sustain symmetric state, while it damps the antisymmetric one.

Original languageBritish English
Article number051502
JournalJournal of Mathematical Physics
Issue number5
StatePublished - 5 May 2015


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