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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 5, Pages 921–934 (Mi zvmmf659)  
Unstable even-parity eigenmodes of the regular static $\mathrm{SU}(2)$ Yang–Mills-dilaton solutions

T. L. Boyadjieva, E. E. Donetsa, D. A. Georgievab, E. A. Hayryana, O. I. Streltsovaa

a Joint Institute for Nuclear Research, 141980 Dubna, Russia
b Sofia University, James Bourchier Blvd. 5, Sofia 1164, Bulgaria
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Abstract: Unstable even-parity eigenmodes of regular static solutions to the coupled system of $\mathrm{SU}(2)$ Yang–Mills-dilaton equations in the $3+1$ Minkowski space–time are obtained. The corresponding matrix Sturm–Liouville problem is solved numerically by applying a continuous analogue of Newton's method. This technique is also used to solve a boundary value problem and is described in detail in this paper.
Key words: Yang–Mills–dilaton equations, regular solutions, matrix Sturm–Liouville problem, continuous analog of Newton's method, method of collocation.
Received: 17.11.2004
Bibliographic databases:
Document Type: Article
UDC: 519.6:517.958:530.145
Language: English
Citation: T. L. Boyadjiev, E. E. Donets, D. A. Georgieva, E. A. Hayryan, O. I. Streltsova, “Unstable even-parity eigenmodes of the regular static $\mathrm{SU}(2)$ Yang–Mills-dilaton solutions”, Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005), 921–934; Comput. Math. Math. Phys., 45:5 (2005), 889–902
Citation in format AMSBIB
\Bibitem{BoyDonGeo05}
\by T.~L.~Boyadjiev, E.~E.~Donets, D.~A.~Georgieva, E.~A.~Hayryan, O.~I.~Streltsova
\paper Unstable even-parity eigenmodes of the regular static $\mathrm{SU}(2)$ Yang--Mills-dilaton solutions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 5
\pages 921--934
\mathnet{http://mi.mathnet.ru/zvmmf659}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2190082}
\zmath{https://zbmath.org/?q=an:1087.81047}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 5
\pages 889--902
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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