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Selçuk Journal
of
Applied Mathematics
Summer-Autumn, 2002
Volume 3
Number 2
Research Center
of
Applied Mathematics
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SJAM
Summer-Autumn 2002, Volume 3 - Number 2
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Equivalent
transformations and
some exact
solutions
to the
system of Maxwell's
equations* |
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Mikhail
V. Neshchadim |
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Sobolev
Institute of
Mathematics, SB RAS,
Pr. Koptyuga
4, 630090 Novosibirsk,
Russia
email :
neshch@math.nsc.ru ;
Received:
November 20, 2002
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Summary
In
the present
paper the
system of Maxwell's
equations is
considered. The
operator of
equivalent transformations is
found and
some exact
solutions are
constructed by
means of the
appropriate
transformations. The
constructed
solutions have a
functional
arbitrariness. |
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Key
words
group
analysis,
equivalent transformations,
Maxwell's equations.
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2000 Mathematics
Subject
Classification : 22E70
*
The research
was supported
by the
Siberian Branch
of the Russian
Academy of Sciences
( Integration Project No. 43, 2000-2002
) and by
the Russian
Foundation for
Basic Research
(No. 02-01-00255).
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Article
in PS format (167 Kb) |
Article
in ZIP format (66 Kb) |
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