Results 1 - 10 of 39307
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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] 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.
[en] The problem of two-dimensional unsteady flow of a non-Newtonian fluid between two infinite porous plates has been considered in this paper. One wall is assumed to be fixed and the motion of the other wall as well as the suction velocity vary periodically with time about a non-zero constant mean. Numerical calculations have been made and the effects of the non-Newtonian parameter, frequency parameter and suction parameter have been shown on the velocity distribution, skin-friction phase and amplitude both at the moving and the stationary walls. (author)
[en] Numerical computer calculations are used to explore the design characteristics of a concave electrostatic electron mirror for a mirror attachment for a conventional scanning electron microscope or an instrument designed totally as a scanning electron mirror microscope. The electron paths of a number of set-ups are calculated and drawn graphically in order to find the optimum shape and dimensions of the mirror geometry. This optimum configuration turns out to be the transition configuration between two cases of electron path deflection, towards the optical axis of the system and away from it. (Author)
[en] We extend the results on the RG flow in the next to leading order to the case of the supersymmetric minimal models SMp for p≫1. We explain how to compute the NS and Ramond fields conformal blocks in the leading order in 1/p and follow the renormalization scheme proposed in . As a result we obtained the anomalous dimensions of certain NS and Ramond fields. It turns out that the linear combination expressing the infrared limit of these fields in term of the IR theory SMp−2 is exactly the same as those of the nonsupersymmetric minimal theory