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JOURNALS // Bulletin of Irkutsk State University. Series Mathematics // Archive

Bulletin of Irkutsk State University. Series Mathematics, 2013 Volume 6, Issue 4, Pages 69–84 (Mi iigum36)

This article is cited in 2 papers

Construction of exact solutions of one-dimensional nonlinear diffusion method of linear invariant subspaces

G. A. Rudykha, E. I. Semenovb

a Institute of Mathematics, Economics and Information Science, Irkutsk State University, 20, Gagarin blvd., Irkutsk, 664003, Russia
b Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (ISDCT SB RAS), 134, Lermontov str., Irkutsk, 664033

Abstract: In this paper, using the method of linear subspaces invariant construct explicit exact solutions of one-dimensional nonlinear diffusion equation.

Keywords: nonlinear diffusion equation; invariant subspace; exact solutions.

UDC: 517.946



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