Zobrazeno 1 - 10
of 3 017
pro vyhledávání: '"Andrei, D"'
For the first time, Schr\"odinger equations with cubic and more complex nonlinearities containing the unknown function with constant delay are analyzed. The physical considerations that can lead to the appearance of a delay in such nonlinear equation
Externí odkaz:
http://arxiv.org/abs/2411.19349
For the first time, the general nonlinear Schr\"odinger equation is investigated, in which the chromatic dispersion and potential are specified by two arbitrary functions. The equation in question is a natural generalization of a wide class of relate
Externí odkaz:
http://arxiv.org/abs/2411.13713
In this essay, we investigate some relations between Chemical Reaction Networks (CRN) and Mathematical Epidemiology (ME) and report on several pleasant surprises which we had simply by putting these two topics together. Firstly, we propose a definiti
Externí odkaz:
http://arxiv.org/abs/2411.11867
We predict two novel quantum drag effects which can occur in macroscopically quantum coherent Josephson circuits. We demonstrate that biasing one resistively shunted Josephson junction by an external current one can induce a non-zero voltage drop acr
Externí odkaz:
http://arxiv.org/abs/2410.13270
Publikováno v:
Phys. Rev. B 110, 134521 (2024)
We develop a microscopic theory of ac Josephson effect in superconducting junctions described by an arbitrary scattering matrix that may include magnetic effects. In the limit of constant in time bias voltage $V$ applied to the junction we derive a f
Externí odkaz:
http://arxiv.org/abs/2410.07344
Symmetries and reductions of some algebraic equations are considered. Transformations that preserve the form of several algebraic equations, as well as transformations that reduce the degree of these equations, are described. Illustrative examples ar
Externí odkaz:
http://arxiv.org/abs/2407.17995
Autor:
Polyanin, Andrei D.
Using the principle of structural analogy of solutions, approaches have been developed for constructing exact solutions of complex nonlinear PDEs, including PDEs with delay, based on the use of special solutions to auxiliary simpler related equations
Externí odkaz:
http://arxiv.org/abs/2405.20474
Autor:
Eliseev, Eugene A., Zagorodniy, Yuri O., Pavlikov, Victor N., Leshchenko, Oksana V., Shevliakova, Hanna V., Karpec, Miroslav V., Yaremkevych, Andrei D., Fesenko, Olena M., Kalinin, Sergei V., Morozovska, Anna N.
To describe the polar properties of the nanosized HfxZr1-xO2-y, we evolve the "effective" Landau-Ginzburg-Devonshire (LGD) model based on the parametrization of the Landau expansion coefficients for the polar and antipolar orderings. We have shown th
Externí odkaz:
http://arxiv.org/abs/2402.18336