Interaction of Double Sine-Gordon Solitons with External Potentials: an Analytical Model

doi:10.1088/0256-307X/33/12/120502

Chin. Phys. Lett.

2016, Vol. 33

Issue (12): 120502 DOI: 10.1088/0256-307X/33/12/120502

GENERAL

Interaction of Double Sine-Gordon Solitons with External Potentials: an Analytical Model

S. Nazifkar^1**, 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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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.

Received: 20 August 2016 Published: 29 December 2016

PACS:	05.45.Yv	(Solitons)
	02.70.-c	(Computational techniques; simulations)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/33/12/120502 OR https://cpl.iphy.ac.cn/Y2016/V33/I12/120502

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	S. Nazifkar
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	M. Sarbishaei

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