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Boris Dubrovin
Boris Dubrovin
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Modern geometry—methods and applications: Part II: The geometry and topology of manifolds
BA Dubrovin, AT Fomenko, SP Novikov
Springer Science & Business Media, 2012
3183*2012
Geometry of 2D topological field theories
R Donagi, B Dubrovin, E Frenkel, E Previato, B Dubrovin
Integrable Systems and Quantum Groups: Lectures given at the 1st Session of …, 1996
16111996
Non-linear equations of Korteweg-de Vries type, finite-zone linear operators, and Abelian varieties
BA Dubrovin, VB Matveev, SP Novikov
Russian mathematical surveys 31 (1), 59, 1976
10451976
Theta functions and non-linear equations
BA Dubrovin
Russian mathematical surveys 36 (2), 11, 1981
9351981
Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
BA Dubrovin, SP Novikov
Russian Mathematical Surveys 44 (6), 35, 1989
6161989
The Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogolyubov-Whitham averaging method
B Dubrovin, S Novikov
Doklady Akademii Nauk SSSR 270 (4), 781-785, 1983
5231983
Integrable systems. I
BA Dubrovin, IM Krichever, SP Novikov
Dynamical Systems IV: Symplectic Geometry and Its Applications, 173-280, 1990
481*1990
Integrable systems in topological field theory
B Dubrovin
Nuclear physics B 379 (3), 627-689, 1992
4241992
Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov-Witten invariants
B Dubrovin, Y Zhang
arXiv preprint math/0108160, 2001
3692001
Periodic problems for the Korteweg—de Vries equation in the class of finite band potentials
BA Dubrovin
Functional analysis and its applications 9 (3), 215-223, 1975
3261975
Géométrie contemporaine: méthodes et applications. 1. Géométrie des surfaces, des groupes de transformations et des champs
BA Dubrovin, SP Novikov, AT Fomenko
Editions Mr., 1982
2901982
On Poisson brackets of the hydrodynamic type
B Dubrovin, S Novikov
Doklady Akademii Nauk SSSR 279 (2), 294-297, 1984
2831984
Painlevé transcendents in two-dimensional topological field theory
B Dubrovin
The Painlevé property: one century later, 287-412, 1999
2801999
Periodic and conditionally periodic analogs of the manysoliton solutions of the Korteweg-de Vries equation
BA Dubrovin, SP Novikov
Sov. Phys. JETP 40 (6), 1058-1063, 1975
2751975
Monodromy of certain Painlevé–VI transcendents and reflection groups
B Dubrovin, M Mazzocco
Inventiones mathematicae 141 (1), 55-147, 2000
2662000
Spectral covers, algebraically completely integrable, Hamiltonian systems, and moduli of bundles
R Donagi, B Dubrovin, E Frenkel, E Previato, R Donagi, E Markman
Integrable Systems and Quantum Groups: Lectures given at the 1st Session of …, 1996
2441996
Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation
B Dubrovin, Y Zhang
Communications in mathematical physics 198, 311-361, 1998
2381998
The Schrödinger equation in a periodic field and Riemann surfaces
BA Dubrovin, IM Krichever, SP Novikov
Dokl. Akad. Nauk SSSR 229 (1), 15-18, 1976
2201976
Geometry and analytic theory of Frobenius manifolds
B Dubrovin
arXiv preprint math/9807034, 1998
1901998
Integrals of motion and quantum groups
R Donagi, B Dubrovin, E Frenkel, E Previato, B Feigin, E Frenkel
Integrable Systems and Quantum Groups: Lectures given at the 1st Session of …, 1996
1831996
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