Zobrazeno 1 - 10
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pro vyhledávání: '"Yakhno, Alexander"'
Autor:
Senashov, Sergey I., Yakhno, Alexander
Publikováno v:
In Journal of Symbolic Computation March-April 2025 127
Publikováno v:
Journal of Mathematical Physics 58, 103505 (2017)
The differential equation with free boundary conditions on the unit disk that was proposed by Frits Zernike in 1934 to find Jacobi polynomial solutions (indicated as I), serves to define a classical and a quantum system which have been found to be su
Externí odkaz:
http://arxiv.org/abs/1708.06666
The differential equation proposed by Frits Zernike to obtain a basis of polynomial orthogonal solutions on the the unit disk to classify wavefront aberrations in circular pupils, is shown to have a set of new orthonormal solution bases, involving Le
Externí odkaz:
http://arxiv.org/abs/1705.08482
Publikováno v:
Journal of Mathematical Physics 58, 072901 (2017)
We consider the differential equation that Zernike proposed to classify aberrations of wavefronts in a circular pupil, as if it were a classical Hamiltonian with a non-standard potential. The trajectories turn out to be closed ellipses. We show that
Externí odkaz:
http://arxiv.org/abs/1702.08566
Publikováno v:
Journal of Mathematical Physics 58, 072101 (2017)
We consider the differential equation that Zernike proposed to classify aberrations of wavefronts in a circular pupil, whose value at the boundary can be nonzero. On this account the quantum Zernike system, where that differential equation is seen as
Externí odkaz:
http://arxiv.org/abs/1702.08570
Autor:
González Contreras, Gabriel1 (AUTHOR) gabriel.gonzalez@uaslp.mx, Yakhno, Alexander2 (AUTHOR) alexander.yakhno@academicos.udg.mx
Publikováno v:
Symmetry (20738994). Jul2023, Vol. 15 Issue 7, p1416. 13p.
Autor:
Senashov, Sergey I., Yakhno, Alexander
In this paper, all the known classical solutions of plane perfect plasticity system under Saint Venant -- Tresca -- von Mises yield criterion are associated with some group of point symmetries. The equations of slip-line families for all solutions ar
Externí odkaz:
http://arxiv.org/abs/1304.8115
Publikováno v:
SIGMA 8 (2012), 105, 11 pages
In this paper analytic contractions have been established in the $R\to\infty$ contraction limit for exactly solvable basis functions of the Helmholtz equation on the two-dimensional two-sheeted hyperboloid. As a consequence we present some new asympt
Externí odkaz:
http://arxiv.org/abs/1212.6123
Autor:
Senashov, Sergey I., Yakhno, Alexander
Publikováno v:
SIGMA 8 (2012), 071, 16 pages
For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem. The equivalence of the initial problem for quasilinear system a
Externí odkaz:
http://arxiv.org/abs/1210.3673
Autor:
Farfan, Filemon, Garcia-Salcedo, Ricardo, Loaiza-Brito, Oscar, Moreno, Claudia, Yakhno, Alexander
By using the method of group analysis, we obtain a new exact evolving and spherically symmetric solution of the Einstein-Cartan equations of motion, corresponding to a space-time threaded with a three-form Kalb-Ramond field strength. The solution des
Externí odkaz:
http://arxiv.org/abs/1101.5419