Results 1 - 10 of 40004
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[en] In this paper, the general form of the Noether theorem is used as a systematic procedure for the identification of integrable two-dimensional systems. We give some applications for polynomial potentials, including the generalized Henon-Heiles case. (author)
[en] In this paper we give a necessary condition in order for a geometrical surface to allow for Abelian fractional statistics. In particular, we show that such statistics is possible only for two-dimentional oriented surfaces of genus zero, namely the sphere S2, the plane R2 and the cylindrical surface R1*S1, and in general the connected sum of n planes R2-R2-R2-...-R2. (Author)
[en] We study finite-dimensional reductions of the dispersionless 2D Toda hierarchy showing that the consistency conditions for such reductions are given by a system of radial Loewner equations. We then construct their Hamiltonian structures, following an approach proposed by Ferapontov.
[en] Different methods of two-dimensional fast reactor calculations are discussed. The main attention was paid to comparison of the method of top relaxation and the method of variable directions. The results of numerical experiments for comparison of speed of convergence of these methods in typical fast reactors calculations are given. (author)
[en] We consider the natural extensions of β-transformations. For some specific β, the extensions can be viewed as generalized baker's transformations, i.e. they flatten and stretch and then cut and stack a two-dimensional domain. This paper characterizes such β and studies their properties
[en] We observe that Dickey's stabilizing chain can be naturally included into two-dimensional chain of infinitely many copies of equations of KP hierarchy. -- Highlights: → In this study we consider Dickey's stabilizing chain. → We construct two-dimensional chain of dressing truncated operators. → We show that Dickey's stabilizing chain can be included into two-dimensional chain of KP hierarchies.