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pro vyhledávání: '"Kogan, Eugene"'
Autor:
Kogan, Eugene
We obtain the exact analytical traveling wave solutions of the Kolmogorov-Petrovskii-Piskunov equation with the reaction term belonging to the class of functions, which includes that of the (generalized) Fisher equation, for the particular values of
Externí odkaz:
http://arxiv.org/abs/2410.12873
Autor:
Kogan, Eugene
In the first half of the paper we consider interaction between the small amplitude travelling waves ("sound") and the shock waves in the transmission line containing both nonlinear capacitors and nonlinear inductors. We calculate the "sound" wave coe
Externí odkaz:
http://arxiv.org/abs/2408.01463
Autor:
Kogan, Eugene
Publikováno v:
Physica Status Solidi (b), 2024
We studied discrete transmission lines constructed from ideal linear inductors and nonlinear capacitors (and possibly resistors). The localised travelling waves in the lossless transmission lines are the kinks and the solitons, which speeds and profi
Externí odkaz:
http://arxiv.org/abs/2401.05261
Autor:
Kogan, Eugene
Publikováno v:
Physica Status Solidi (b) 261, 2300336 (2024)
We continue our previous studies of the shocks in the lossy Josephson transmission line (JTL). The paper consists of two parts. In the first part we analyse the scattering of the "sound' (small amplitude small wave vector harmonic wave) on the shock
Externí odkaz:
http://arxiv.org/abs/2307.15078
Autor:
Kogan, Eugene
Publikováno v:
Physica C: Superconductivity and its applications v. 616, 1354402 (2024)
We consider the discrete series-connected lossy Josephson transmission line, constructed from Josephson junctions, capacitors and resistors (one-dimensional array of Josephson junctions). We derive equations describing pump, signal, and idler interac
Externí odkaz:
http://arxiv.org/abs/2301.09644
Autor:
Kogan, Eugene
Publikováno v:
physica status solidi (b) 260, 2200475 (2023)
We consider the series-connected Josephson transmission line (JTL), constructed from Josephson junctions, capacitors and (possibly) resistors. We calculate the velocity of shocks in the discrete lossy JTL. We study thoroughly the continuum and the qu
Externí odkaz:
http://arxiv.org/abs/2212.09531
Autor:
Kogan, Eugene
Publikováno v:
physica status solidi (b) 260, 2200403 (2023)
We consider the modulated harmonic wave in the discrete series connected Josephson transmission line (JTL). We formulate the approach to the modulation problems for discrete wave equations based on discrete calculus. We check up the approach by apply
Externí odkaz:
http://arxiv.org/abs/2209.07990
Autor:
Kogan, Eugene
Publikováno v:
Physica Status Solidi (b) 259, 2200160 (2022)
We analytically study the localized running waves in the discrete Josephson transmission lines (JTL), constructed from Josephson junctions (JJ) and capacitors. The quasi-continuum approximation reduces calculation of the running wave properties to th
Externí odkaz:
http://arxiv.org/abs/2202.11008
Autor:
Kogan, Eugene
For an $n \times n$ matrix $M$ with entries in $\mathbb{Z}_2$ denote by $R(M)$ the minimal rank of all the matrices obtained by changing some numbers on the main diagonal of $M$. We prove that for each non-negative integer $k$ there is a polynomial i
Externí odkaz:
http://arxiv.org/abs/2104.10668
Autor:
Kogan, Eugene
Publikováno v:
Journal of Applied Physics 130, 013903 (2021)
We analytically study shock wave in the Josephson transmission line (JTL) in the presence of ohmic dissipation. When ohmic resistors shunt the Josephson junctions (JJ) or are introduced in series with the ground capacitors the shock is broadened. Whe
Externí odkaz:
http://arxiv.org/abs/2102.01427