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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 9, Pages 1628–1634
DOI: https://doi.org/10.7868/S0044466916090052 (Mi zvmmf10462) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Pseudo-spectral Fourier method as applied to finding localized spherical soliton solutions of $(3 + 1)$-dimensional Klein–Gordon equations

E. G. Ekomasov, R. K. Salimov

Bashkir State University, Ufa, Bashkortostan, Russia
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DOI: https://doi.org/10.7868/S0044466916090052
Abstract: Nonlinear Klein–Gordon equations with fractional power and logarithmic potentials and with a variation in the $\varphi^4$ potential are found for which the existence of long-lived stable spherically symmetric solutions in the form of pulsons is numerically established. Their mean oscillation amplitude and the frequency of the fast oscillation mode do not vary in the course of the numerical simulation. It is shown that the stability of these pulsons is explained by the presence of a potential well.
Key words: Klein–Gordon equation, pulson, breather, pseudospectral Fourier method.
Received: 01.01.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 9, Pages 1604–1610
DOI: https://doi.org/10.1134/S0965542516090049
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: E. G. Ekomasov, R. K. Salimov, “Pseudo-spectral Fourier method as applied to finding localized spherical soliton solutions of $(3 + 1)$-dimensional Klein–Gordon equations”, Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016), 1628–1634; Comput. Math. Math. Phys., 56:9 (2016), 1604–1610
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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