Metin Gürses
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Professor
Department of Mathematics
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Biography
Please see my
vitae
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Basic Research Fields:
Mathematical Physics and Applied Mathematics
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Research Interests:
Integrable Einstein's Equations in General Realtivity and Integrable
Nonlinear
Partial Differential Equations in Apllied Mathematics.
More Specifically
- General Relativity : Classical theories of gravitation, Theories with
torsion, Exact and
Approximate solutions of Gravitation Theories in various dimensions.
Colliding gravitational plane waves,
Low Energy limit of String
Theory. Sigma Models , Godel type metrics.
Integrable Systems : Super Integrable Models. Integrable Surfaces.
Integrability and Symmetries
of nonlinear partial
differential equations. Classification of partial differential equations with
respect to symmetries. Generalized symmetries and recursion operators.
Differential Geometry of Integrable PDEs.
Integrable systems on time scale, Integrable boundary conditions
Recent publications
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Integrable discrete systems on R and related dispersionless systems,
nlin.SI/0707.1084v1,ps,dvi, pdf files ,
Journal of Mathematical Physics, vol. 49, 072702 (2008).
M. Blaszak, M. Gurses, B. Silindir, and B. Szablikowski.
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Hydrodynamic type of integrable equations on a segment and a half line,
nlin.SI/0805.3828,ps,dvi, pdf files ,
Journal of Mathematical Physics, vol. 49,
102704 (2008).
M. Gurses, I. Habibullin and K. Zheltukhin
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Last update November 2005