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Separation of variables for quadratic algebras and skew-symmetric classical r -matrices

Journal of mathematical physics, 2019-09, Vol.60 (9)

2019

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Hamiltonian PDEs: deformations, integrability, solutions

Journal of physics. A, Mathematical and theoretical, 2010-10, Vol.43 (43), p.434002

Dubrovin, B

2010

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Integrable systems in topological field theory

Nuclear physics. B, 1992-07, Vol.379 (3), p.627-689

Dubrovin, B

1992

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Monodromy of certain Painlevé–VI transcendents and reflection groups

Inventiones mathematicae, 2000-07, Vol.141 (1), p.55-147

2000

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Separation of variables for linear Lax algebras and classical r -matrices

Journal of mathematical physics, 2018-09, Vol.59 (9)

2018

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NUMERICAL STUDY OF BREAKUP IN GENERALIZED KORTEWEG—DE VRIES AND KAWAHARA EQUATIONS

SIAM journal on applied mathematics, 2011-01, Vol.71 (4), p.983-1008

2011

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Approximating tau-functions by theta-functions

Communications in number theory and physics, 2019, Vol.13 (1), p.203-223

Dubrovin, B.

2019

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Alexander Petrovich Veselov

Russian mathematical surveys, 2016-12, Vol.71 (6), p.1159-1176

Etingof, V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, and P. I.

2016

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Symmetries and casimir of an extended classical long wave system

Pramāṇa, 2013-04, Vol.80 (4), p.559-569

2013

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Geometry and integrability of topological-antitopological fusion

Communications in mathematical physics, 1993-03, Vol.152 (3), p.539-564

DUBROVIN, B

1993

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On Universality of Critical Behavior in the Focusing Nonlinear Schrödinger Equation, Elliptic Umbilic Catastrophe and the Tritronquée Solution to the Painlevé-I Equation

Journal of nonlinear science, 2009-02, Vol.19 (1), p.57-94

2009

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On critical behaviour in generalized Kadomtsev–Petviashvili equations

Physica. D, 2016-10, Vol.333, p.157-170

2016

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Modern geometry - methods and applications.: (The geometry and topology of manifolds)

1985 edition., 1985

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On the critical behavior in nonlinear evolutionary PDEs with small viscosity

Russian journal of mathematical physics, 2012-10, Vol.19 (4), p.449-460

2012

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Quantum Cohomology: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30-July 8, 1997

2002

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On an isomonodromy deformation equation without the Painlevé property

Russian journal of mathematical physics, 2014-03, Vol.21 (1), p.9-35

2014

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Frobenius manifolds and Virasoro constraints

Selecta mathematica (Basel, Switzerland), 1999-12, Vol.5 (4), p.423-466

1999

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Hamiltonian formalism of whitham-type hierarchies and topological Landau-Ginsburg models

Communications in mathematical physics, 1992-03, Vol.145 (1), p.195-207

DUBROVIN, B. A

1992

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Viktor Matveevich Buchstaber (on his 70th birthday)

Russian mathematical surveys, 2013-06, Vol.68 (3), p.581-590

2013

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Modern Geometry-- Methods and Applications: Part II: the Geometry and Topology of Manifolds

1, 1985

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Modern Geometry - Methods and Applications: Part I. the Geometry of Surfaces, Transformation Groups, and Fields

1, 1984

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Virasoro symmetries of the extended Toda hierarchy

Communications in mathematical physics, 2004-09, Vol.250 (1), p.161-193

2004

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Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory

Russian mathematical surveys, 1989-12, Vol.44 (6), p.35-124

1989

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On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi-Triviality of bi-Hamiltonian perturbations

Communications on pure and applied mathematics, 2006-04, Vol.59 (4), p.559-615

2006

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Bihamiltonian Hierarchies in 2D Topological Field Theory At One-Loop Approximation

Communications in mathematical physics, 1998-11, Vol.198 (2), p.311-361

1998

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Separation of variables for quadratic algebras and skew-symmetric classical r -matrices

Hamiltonian PDEs: deformations, integrability, solutions

Integrable systems in topological field theory

Monodromy of certain Painlevé–VI transcendents and reflection groups

Separation of variables for linear Lax algebras and classical r -matrices

NUMERICAL STUDY OF BREAKUP IN GENERALIZED KORTEWEG—DE VRIES AND KAWAHARA EQUATIONS

Approximating tau-functions by theta-functions

Alexander Petrovich Veselov

Symmetries and casimir of an extended classical long wave system

Geometry and integrability of topological-antitopological fusion

On Universality of Critical Behavior in the Focusing Nonlinear Schrödinger Equation, Elliptic Umbilic Catastrophe and the Tritronquée Solution to the Painlevé-I Equation

On critical behaviour in generalized Kadomtsev–Petviashvili equations

Modern geometry - methods and applications.: (The geometry and topology of manifolds)

On the critical behavior in nonlinear evolutionary PDEs with small viscosity

Quantum Cohomology: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30-July 8, 1997

On an isomonodromy deformation equation without the Painlevé property

Frobenius manifolds and Virasoro constraints

Hamiltonian formalism of whitham-type hierarchies and topological Landau-Ginsburg models

Viktor Matveevich Buchstaber (on his 70th birthday)

Modern Geometry-- Methods and Applications: Part II: the Geometry and Topology of Manifolds

Modern Geometry - Methods and Applications: Part I. the Geometry of Surfaces, Transformation Groups, and Fields

Virasoro symmetries of the extended Toda hierarchy

Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory

On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi-Triviality of bi-Hamiltonian perturbations

Bihamiltonian Hierarchies in 2D Topological Field Theory At One-Loop Approximation

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