ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Factorization of the Equations of Marine Electrodynamics


S. Y. Malamanov

Associate Professor,
Baltic State Technical University,
St. Petersburg, Russia.


The paper deals with the factorization of the equations of marine electrodynamics. A system of differential equations is obtained that relates only the invariants of the subgroup of the basic group admissible by the system under consideration. Solutions are invariant with respect to the extension operator. Such solutions are most typical for problems arising in the modeling of physical processes.



  1. Novozhilov V. V., Pavlovskiy V. A. Ustanovivshiyesya turbulentnyye techeniya neszhimayemoy zhidkosti [ Steady turbulent flow of an incompressible fluid]. - SPb: SPbGU, 2013. - 483 s
  2. Ovsyannikov L. V. Gruppovoy analiz differentsial'nykh uravneniy [Group analysis of differential equations ] -M. : Nauka, 1978. - 400 s
  3. Savchenko V. N., Smagin V. P., Fonarev G. A. Voprosy morskoy elektrodinamiki: Monografiya [Questions of marine electrodynamics: Monograph]. - Vladivostok: Izd-vo VGUE i S, 1999. - 208 s

Full text (pdf)