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In this paper we analyze movable singularities of the solutions of the equation for self-similar profiles resulting from semilinear wave equation. We study local analytic solutions around two fixed singularity points of this equation- ρ = 0 and ρ = 1. The movable singularities of local analytic solutions at the origin will be connected with those of the Lane-Emden equation. The function describing approximately their position on the complex plane will be derived. For ρ > 1 some topological considerations will be presented that describe movable singularity of local analytic solution at ρ = 1. Numerical illustrations of the results will also be provided.
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Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
59-72
Opis fizyczny
Daty
wydano
2012
Twórcy
autor
- M. Smoluchowski Institute of Physics, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland
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Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-bc97-0-4