Burgers Anatoly

Anatoly Kitov - Pioneer of Russian Informatics

Anatoly Ivanovich Kitov (1920-2005) is one of the most outstanding representatives of the first generation of scientists who had created Russian cybernetics, computer engineering and informatics. Due to political reasons his many-sided scientific and organizational activities were hushed up. Only recently publications adequately estimating his role appeared. The report represents biography and ...

Complex-Valued Burgers and KdV-Burgers Equations

Spatially periodic complex-valued solutions of the Burgers and KdV-Burgers equations are studied in this paper. It is shown that for any sufficiently large time T , there exists an explicit initial data such that its corresponding solution of the Burgers equation blows up at T . In addition, the global convergence and regularity of series solutions is established for initial data satisfying mil...

Decay Mode Solutions to (2 + 1)-Dimensional Burgers Equation, Cylindrical Burgers Equation and Spherical Burgers Equation

Three (2 + 1)-dimensional equations—Burgers equation, cylindrical Burgers equation and spherical Burgers equation, have been reduced to the classical Burgers equation by different transformation of variables respectively. The decay mode solutions of the Burgers equation have been obtained by using the extended G G ′       -expansion method, substituting the solutions obtained into the cor...

About the finding of independent vertices of a graph Anatoly

We examine the Maximum Independent Set Problem in an undirected graph. The main result is that this problem can be considered as the solving the same problem in a subclass of the weighted normal twinorthogonal graphs. The problem is formulated which is dual to the problem above. It is shown that, for trivial twin-orthogonal graphs, any of its maximal independent set is also maximum one. 1 State...

Anatoly Koryagin: what next on Soviet psychiatric abuse?