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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 12, Pages 2182–2188 (Mi zvmmf4798)  
This article is cited in 9 scientific papers (total in 9 papers)

Perturbed soliton solutions of the sine-Gordon equation

S. P. Popov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (1399 kB) Citations (9)
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Abstract: Soliton solutions of the sine-Gordon classical equation are numerically studied. It is shown that considerable perturbations in these solutions lead to the formation of new solution forms that exhibit soliton properties in interactions. The study is performed for kinks and breathers obtained by solving problems with suitable initial data. The underlying numerical technique combines the fourth-order Runge–Kutta method with the quasi-spectral Fourier method.
Key words: sine-Gordon equation, soliton, breather, wobbler, kink, Runge–Kutta method, quasi-spectral Fourier method.
Received: 17.04.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 12, Pages 2085–2091
DOI: https://doi.org/10.1134/S0965542509120082
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “Perturbed soliton solutions of the sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 49:12 (2009), 2182–2188; Comput. Math. Math. Phys., 49:12 (2009), 2085–2091
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :264
    References:54
    First page:33
     
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