Factorization of the Equations of Marine Electrodynamics
Author(s):
S. Y. Malamanov
Associate Professor,
Baltic State Technical University,
St. Petersburg, Russia.
stevmal@mail.ru
Abstract:
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.
Keywords
- differential equations
- invariant solution
- order decreasing
- symmetry group
- the basis of invariants
References:
- Novozhilov V. V., Pavlovskiy V. A. Ustanovivshiyesya turbulentnyye techeniya neszhimayemoy zhidkosti [ Steady turbulent flow of an incompressible fluid]. - SPb: SPbGU, 2013. - 483 s
- Ovsyannikov L. V. Gruppovoy analiz differentsial'nykh uravneniy [Group analysis of differential equations ] -M. : Nauka, 1978. - 400 s
- 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
