Results 51 to 60 of about 71,208 (194)
A self-consistent Hartree-Fock approach for interacting bosons in optical lattices [PDF]
, 2014 A theoretical study of interacting bosons in a periodic optical lattice is presented. Instead of the commonly used tight-binding approach (applicable near the Mott insulating regime of the phase diagram), the present work starts from the exact single ...
Lü, Qin-Qin +2 more
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Ince's limits for confluent and double-confluent Heun equations
, 2005 We find pairs of solutions to a differential equation which is obtained as a special limit of a generalized spheroidal wave equation (this is also known as confluent Heun equation).
Abramowitz M. +15 more
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Discrete Tracy--Widom operators. [PDF]
, 2009 Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon, McCafferty, Andrew
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The oscillator's model with broken symmetry
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The equations of the oscillator motion are considered. The exact solutions are given in the form of exponents with an additional parameter that characterizes the asymmetry of the oscillations.
Dmitry B Volov
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Generalized equations of Mathieu
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2011 Summary: We consider non-local model of wave process, which generalizes the classical model of parametric resonance Mathieu. It is proved that this model has a unique solution.
openaire +2 more sources
INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY
Наука и техника, 2011 The paper presents results of mathematical modelling of dynamic stability of flexible ultrasonic waveguides applied in engineering and medicine, particularly, in minimally-invasive surgery. By means of the Bubnov-Galerkin method an equation of parametric
D. A. Stepanenko, V. T. Mincheny
doaj
Parametric oscillations of the mechanical systems
MATEC Web of Conferences, 2018 This paper deals with an approximative solution in the analytical form of some second order linear differential equation with time depend parameters. The analytic solution is compared with the numerical solution obtained by Runge-Kutta method and the ...
Ftorek Branislav +2 more
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Nonlinear analysis of dynamic stability for the thin cylindrical shells of supercavitating vehicles
Advances in Mechanical Engineering, 2016 The dynamic stability of supercavitating vehicles under periodic axial loading is investigated in this article. The supercavitating vehicle is simulated as a long and thin cylindrical shell subjected to periodic axial loading and simply supported ...
Hai An, Ling Zhou, Xing Wei, Weiguang An
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A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric field
Physics Letters B, 2015 The Klein–Gordon equation in the presence of a strong electric field, taking the form of the Mathieu equation, is studied. A novel analytical solution is derived for particles whose asymptotic energy is much lower or much higher than the electromagnetic ...
E. Raicher, S. Eliezer, A. Zigler
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Heun and Mathieu functions as solutions of the Dirac equation
, 2007 We give examples of where the Heun function exists as solutions of wave equations encountered in general relativity. While the Dirac equation written in the background of Nutku helicoid metric yields Mathieu functions as its solutions in four spacetime ...
Aliev +13 more
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