Excitement of solitons in the interaction of kinks of sine-Gordon equation with attracting impurity

 

Ekomasov E.G., Gumerov A.M., Murtazin R.R.
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We investigate analytically and numerically the structure and properties of localized two- and three-kink solutions of the sine-Gordon equation, which are excited in the region of the attracting impurity. We have considered cases of single and double spatially extended impurity.

Keywords: kink, breather, sine-Gordon equation, impurity, triton
Citation in English: Ekomasov E.G., Gumerov A.M., Murtazin R.R.   Excitement of solitons in the interaction of kinks of sine-Gordon equation with attracting impurity   // Computer Research and Modeling, 2012, vol. 4, no. 3, pp. 509-520
Citation in English: Ekomasov E.G., Gumerov A.M., Murtazin R.R.   Excitement of solitons in the interaction of kinks of sine-Gordon equation with attracting impurity   // Computer Research and Modeling, 2012, vol. 4, no. 3, pp. 509-520
DOI: 10.20537/2076-7633-2012-4-3-509-520
URL: http://crm-en.ics.org.ru/journal/article/1920/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
According to Crossref, this article is cited by:
  • Evgeniy Grigorevich Ekomasov, Azamat Maratovich Gumerov. Collective influence of impurities on the dynamics of kinks of modified sine-Gordon equation. // Computer Research and Modeling. — 2013. — V. 5, no. 3. — P. 403. DOI: 10.20537/2076-7633-2013-5-3-403-412
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