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Interaction of Double Sine-Gordon Solitons with External Potentials: an Analytical Model |
S. Nazifkar1**, K. Javidan2, M. Sarbishaei2 |
1Physics Department, University of Neyshabur, Neyshabur, Iran 2Physics Department, School of Science, Ferdowsi University of Mashhad, Mashhad, Iran
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Cite this article: |
S. Nazifkar, K. Javidan, M. Sarbishaei 2016 Chin. Phys. Lett. 33 120502 |
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Abstract Interaction of double sine-Gordon solitons with a space dependent potential wall as well as a potential well is investigated by employing an analytical model based on the collective coordinate approach. The potential is added to the model through a suitable nontrivial metric for the background spacetime. The model is able to predict most of the features of the soliton-potential interaction. It is shown that a soliton can pass through a potential barrier if its velocity is larger than a critical velocity which is a function of the initial soliton conditions and also characters of the potential. It is interesting that the solitons of the double sine-Gordon model can be trapped by a potential barrier and oscillate there. This situation is very important in applied physics. The soliton-well system is investigated by using the presented model. Analytical results are also compared with the results of the direct numerical solutions.
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Received: 20 August 2016
Published: 29 December 2016
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