PUBLICATIONS OF MIKHAIL V. BABICH
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M. V. Babich. About One Class of Solutions of the
Toda Lattice, Vestnik Leningrad Univ., 1984,
69-73 (in Russian).
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M. V. Babich, A. I. Bobenko, V. B. Matveev.
Reductions of Riemann Theta Functions of Genus g to
Theta Functions of Lower Genus, and Symmetries of
Algebraic Curves, Dokl. Akad. Nauk SSSR, 272(1983),
13-17; English translation in Soviet Math. Dokl. 28(1983).
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M. V. Babich, A. I. Bobenko, M. V. Matveev.
Solutions of Nonlinear Equations Integrable in Jacobi
Theta Functions by the Inverse Problem Method,
and Symmetries of Algebraic Curves, Izvestiya Akad.
Nauk SSSR, ser. Matemat., 1985, v. 49, 511-529, (in Russian),
English translation in Izvestiya Math. USSR, 1986, v. 26, 479-495.
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M. V. Babich. Implementation of Formulae of
Finite-Gap Integration of the Sine-Gordon Equation for
a Curve of Genus 3, Funktsional. Anal. Prilozhen,
1985, v. 19, 53-55 (in Russian), English translation in
Functional Anal. Appl., 1985, v. 19, 203-208.
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M.B. Babich, L.A. Bordag, Symmetric Effetivisation of Three Gap Solutions
of Sine-Gordon Equation
and Sinh-Gordon Equation and Their Graphical Representation (in Russisch),
Communications JINR, P5-85-204, Dubna, 1985.
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M. V. Babich, V. B. Matveev, M. A. Sall. Binar
Darboux-Transformation for the Toda Lattice, Zap.
Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov
(LOMI), 1985, v. 145, 34-45 (in Russian).
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M. V. Babich. Real Finite-Gap Solutions of
Equations of Sine-Gordon Type, Algebra and Analiz,
2(1990), 63-73 (in Russian). English translation in Leningrad Math.
Journal 2:3(1991).
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M. V. Babich. Smoothness of Real Finite-Gap
Solutions of Equations of Sine-Gordon Type, Algebra
and Analiz, 3(1991), 57-66 (in Russian). English translation
in Leningrad Math. Journ. 3:1(1992).
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M. V. Babich, E. S. Gutshabash, V. D. Lipovskiy,
A. V. Rybin, M. A. Sall and A. O. Smirnov. Theory of Solitons and
Some Aspects of Weak Superconductivity,
in "Visokotemp. sverhpr. akt. problemy", 1990,
Izdat. Leningrad. Univ. (in Russian).
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M. V. Babich. Real Finite-Gap Solutions of
the ch-Gordon Equation, Matemat. Zametki, 1991, v. 50, 3-9 (in Russian).
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M. V. Babich. Constant Mean Curvature H<1
Surfaces in Hyperbolic Space, Preprint TU Berlin N316 (1992).
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M.V. Babich, L.A. Bordag, Qualitative Investigation of the Three Phase
Solutions of Sine-Laplace Equation, Zapiski Nautshnych Seminarov POMI, {
235}, (1996) p. 199-217.
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M. V. Babich and A. Bobenko. Willmore Tori with
Umbilic Lines and Minimal Surfaces in Hyperbolic Space,
Duke Mathematical Journal, Vol. 72, (1993), 151-186.
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Babich M.V. "Willmore Surfces, 4-particle Toda Lattice and
Double Coverings of Hyperelliptic Surfaces", American Math. Society
Transl. (2), Vol. 174, 1996.
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Babich M.V. "Three sheeted coverings of $ \overline C$ with additional
symmetries and the Tzitzeika-like equations", Universitat Leipzig,
Preprint # 04/96, 1996.
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Babich M.V. "Methods of the theory of Sine-Gordon equation and the
Voss Surfaces", Universitat Leipzig, Preprint # 46/96, 1996.
- Babich, M.V. and Bordag, L.A. (1997): The elliptic form
of the sixth Painlev\'{e} equation, Preprint NTZ 25/1997, Leipzig, 1-7.
- Babich, M. V., Korotkin D. A. (1998):
Self-dual $SU(2)$ invariant Einstein metrics and modular dependence of
theta-functions, Letters in Mathematical Physics, v. 46, 323-337.
- Babich, M.V. and Bordag, L.A. (1999):
Projective Differential Geometrical Structure of the Painlev\'{e}
equations, Journal of Differential Equations, v. 157, 452-485.
- Babich, M. V. (2000): Symmetries of the 4-matrices
Schlesinger system, Zapiski Nauchnyh Seminarov POMI, v. 269, 1-13.
- Babich, M. V. and Bordag, L. A. (2005): Quasi Periodic Vortex Structures in
Two-Dimensional Flows in an Inviscid Incompressible Fluid, "Russian
Journal of Mathematical Physics", Vol. 12, No. 2, 121-156.
- M.V.Babich (2007): ``About Coordinates on the Phase Spaces of the Schlesinger System
and the Garnier-Painleve~6 System'', Doklady Mathematics, Vol. 75, No. 1, 71 p..
- M.V.Babich (2008): ``Rational symplectic coordinates on the space of Fuchs equations,
$m\times m$-case'', Lett. Math. Phys., 86: 63-77.
- M.V.Babich (2009): ``About a canonical parametrization of the phase spaces of equations of
isomonodromic deformations of Fuchs systems of dimension $2\times 2$'', Russian Math. Surveys, 64:1 45–127.
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