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Bäcklund transformation for the first flows of the relativistic Toda hierarchy and associated properties

100%
Choudhury A.
Open Physics
|
2013
|
vol. 11
|
issue 1
49-58
EN
In this communication we study a class of one parameter dependent auto-Bäcklund transformations for the first flow of the relativistic Toda lattice and also a variant of the usual Toda lattice equation. It is shown that starting from the Hamiltonian formalism such transformations are canonical in nature with a well defined generating function. The notion of spectrality is also analyzed and the separation variables are explicitly constructed.
2
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Analytical investigation of transient molecular-motor-assisted transport in elongated cells

88%
Kuznetsov A., Avramenko A.
|
EN
This paper investigates analytically the molecular-motor-assisted transport between the cell nucleus and cell membrane in an elongated cell, which allows the formulation of governing equations in a cylindrical coordinate system. This problem is relevant to biomimetic transport systems as well as to many biological processes occurring in living cells, such as the viral infection of a cell. The obtained analytical solution is shown to agree well with a high-accuracy numerical solution of the same problem. The developed analytical technique extends the applicability of the generalized Fourier series method to a new type of problems involving intracellular transport of organelles.
3
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Large-signal averaged models of the non-ideal flyback converter derived by the separation of variables

75%
Janke W., Bączek M., Kraśniewski J.
|
2020
|
issue 1
4
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Small-signal transmittances of DC-DC step-down PWM converter in various operation modes

63%
Janke W.
Archives of Electrical Engineering
|
2015
|
vol. 64
|
issue 3
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