GRUPPOVOY ANALIZ URAVNENIY KVAZISTACIONARNOGO ELEKTROMAGNITNOGO POLYA VYSOKOCHASTOTNOGO INDUKCIONNOGO RAZRYADA
Authors:
1.
KNITU
Type:
Article
eLocation:
Status:
Published
Received:
19.04.2023
Accepted:
01.08.2025
Published:
01.08.2025
Subject area:
UDC 517.9 + 537
Language:
Russian
Keywords:
высокочастотный индукционный разряд, электромагнитное поле, дифференциальные уравнения, группы преобразований, универсальные инварианты, high-frequency inductive discharge, electromagnetic field, differential equations, groups of transformations, universal invariants
Abstract (English):
The results of the group analysis of equations of the quasi-stationary electromagnetic field of high-frequency inductive discharge of a finite length, in which we construct the Lie algebra of infinitesimal operators and the groups of transformations, admitted by the equations of the electromagnetic field in the discharge, and also found independent basic scalar invariants (collectively forming the universal invariants) these groups of transformations.
The results of the group analysis of equations of the quasi-stationary electromagnetic field of high-frequency inductive discharge of a finite length, in which we construct the Lie algebra of infinitesimal operators and the groups of transformations, admitted by the equations of the electromagnetic field in the discharge, and also found independent basic scalar invariants (collectively forming the universal invariants) these groups of transformations.
Keywords:
высокочастотный индукционный разряд, электромагнитное поле, дифференциальные уравнения, группы преобразований, универсальные инварианты, high-frequency inductive discharge, electromagnetic field, differential equations, groups of transformations, universal invariants
высокочастотный индукционный разряд, электромагнитное поле, дифференциальные уравнения, группы преобразований, универсальные инварианты, high-frequency inductive discharge, electromagnetic field, differential equations, groups of transformations, universal invariants
1. Ovsyannikov L.V. Gruppovoy analiz differencial'nyh uravneniy. - M.: Nauka, 1978. - 400s.
2. Kirpichnikov A.P. Predel'nye sootnosheniya dlya VCh indukcionnogo razryada // Izv. vuzov. Fizika. - 1993. - № 1. - C. 56.
3. Kirpichnikov A.P. Struktura kvazistacionarnogo elektromagnitnogo polya vysokochastotnogo indukcionnogo razryada vblizi plazmennogo sgustka // TVT.- 1995. - T. 33. - № 1. - S. 139.
4. Kirpichnikov A.P. O strukture vysokochastotnogo indukcionnogo razryada pri atmosfernom davlenii vblizi osi plazmennogo sgustka // TVT. - 1996. - T. 34. - № 6. - C. 989.
