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Vladimir
Gudkov
Date of Birth: October 7, 1941
Education:
M.S. (Math.) University of Latvia, 1964
Academic Degrees:
Candidate of Physics
and Mathematics, University of Latvia, 1973,
Doctor of Mathematics, University of Latvia, 1992
Present
Employment:
Leading Researcher,
since 1992, Institute of Mathematics and Computer Science, University
of Latvia
Previous
Employment:
Junior Research
Assistant, 1964-1971; Senior
Research Assistant, 1971-1972; Head of Laboratory, 1972-1992
Scientific interests:
Ordinary Differential
Equations, Wave Equations,Mathematical Modelling, Mathematical Physics
Publications:
60 papers and
short communications on Mathematics
were published during the period from 1966 to1996 and 26 papers
on Mathematical Physics were published during the period from 1997
to 2003.
The more significant are the following:
1.Gudkov V.V. A family of exact travelling wave solutions to nonlinear
evolution and wave equations. - J. Math. Phys. 1997, v. 38, No.
9, p.4794-4803.
2.Gudkov V.V. On the relation between hypercomplex solutions and
special unitary groups. - Teor. Mat. Fiz. 1997, v. 113, No. 1,
p.29-33
3.Gudkov V.V. Geometrical properties of matrix solutions of the
nonlinear Klein-Gordon equation. - J. Phys. A: Math. Gen. 1999,
v. 32, nr. 26, p.L281-L284
4.Gudkov V.V. Matrix solutions of wave equations and Clifford algebras.
- J. Phys. A: Math. Gen. 2000, v. 33, No. 39, p.6975-6979
5.Gudkov V.V. Torus as a geometrical image of matrix solutions
of wave equations. - Nonlinear Analysis, 2001, v. 47, No. 9, p.5945-5953
6.Gudkov V.V., Escultura Edgar. Mathematical models on the way
from superstring to photon. - Nonlin.Analysis: Real World Applications,
2002, v.3, No.3, p.375-382.
7.Gudkov V.V. Algebraic and geometric properties of matrix solutions
of nonlinear wave equations. - Math.Phys.Anal.Geom., 2003, v.6,
No.2, p.125-137.
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