B. Dubrovin

发表

Modern geometry--methods and applications

B. Dubrovin, S. Novikov, A. Fomenko, 1984 .

Géométrie contemporaine : méthodes et applications

B. Dubrovin, S. P. Novikov, A. Fomenko, 1982 .

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

B. Dubrovin, T. Skrypnyk, 2019, Journal of Mathematical Physics.

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

B. Dubrovin, T. Skrypnyk, 2018, Journal of Mathematical Physics.

Differential geometry of the space of orbits of a Coxeter group

B. Dubrovin, 1993, hep-th/9303152.

Inverse problem for periodic finite — zoned potentials in the theory of scattering

B. Dubrovin, 1975 .

PERIODIC AND CONDITIONALLY PERIODIC ANALOGS OF THE MANY-SOLITON SOLUTIONS OF THE KORTEWEG-DE VRIES EQUATION

B. Dubrovin, S. Novikov, 1974 .

Hydrodynamics of soliton lattices

B. Dubrovin, S. Novikov, 1993 .

On Gromov – Witten invariants of P 1

B. Dubrovin, Di Yang, 2019 .

On Gromov–Witten invariants of $\mathbb{P}^1$

B. Dubrovin, Di Yang, 2017, Mathematical Research Letters.

On Gromov–Witten invariants of P

B. Dubrovin, Di Yang, 2018 .

Frobenius manifolds and Virasoro constraints

B. Dubrovin, You-jin Zhang, 1998, math/9808048.

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

B. Dubrovin, You-jin Zhang, 1997, hep-th/9712232.

Gromov - Witten invariants and integrable hierarchies of topological type

B. Dubrovin, 2013, 1312.0799.

Virasoro Symmetries of the Extended Toda Hierarchy

B. Dubrovin, You-jin Zhang, 2003, math/0308152.

REAL THETA-FUNCTION SOLUTIONS OF THE KADOMTSEV–PETVIASHVILI EQUATION

B. Dubrovin, S. Natanzon, 1989 .

Alternative Hamiltonian Description for Quantum Systems

B. Dubrovin, G. Marmo, A. Simoni, 1990 .

Integrable Systems and Quantum Groups

B. Dubrovin, R. Donagi, M. Francaviglia, 1996 .

On Hamiltonian Perturbations of Hyperbolic Systems of Conservation Laws, II: Universality of Critical Behaviour

B. Dubrovin, 2005, math-ph/0510032.

On critical behaviour in generalized Kadomtsev-Petviashvili equations

B. Dubrovin, C. Klein, T. Grava, 2015, 1510.01580.

Painleve' transcendents and two-dimensional topological field theory

B. Dubrovin, 1998, math/9803107.

Monodromy of certain Painlevé–VI transcendents and reflection groups

B. Dubrovin, M. Mazzocco, 1998, math/9806056.

Generating series for GUE correlators

B. Dubrovin, Di Yang, 2016, 1604.07628.

Geometry and integrability of topological-antitopological fusion

B. Dubrovin, 1992, hep-th/9206037.

Tau-Structure for the Double Ramification Hierarchies

B. Dubrovin, A. Buryak, P. Rossi, 2016, Communications in Mathematical Physics.

D ec 2 01 8 TAU-STRUCTURE FOR THE DOUBLE RAMIFICATION HIERARCHIES

B. Dubrovin, P. Rossi, Jérémy Guéré, 2018 .

ON ALMOST DUALITY FOR FROBENIUS MANIFOLDS

B. Dubrovin, 2003, math/0307374.

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

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2004, math/0410027.

Tau-Structure for the Double Ramification Hierarchies

B. Dubrovin, A. Buryak, P. Rossi, 2018, Communications in Mathematical Physics.

Geometry and analytic theory of Frobenius manifolds

B. Dubrovin, 1998, math/9807034.

Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants

B. Dubrovin, You-jin Zhang, 2001, math/0108160.

On the genus two free energies for semisimple Frobenius manifolds

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2012, 1205.5990.

On the reductions and classical solutions of the Schlesinger equations

B. Dubrovin, M. Mazzocco, 2006, math/0610327.

Canonical Structure and Symmetries of the Schlesinger Equations

B. Dubrovin, M. Mazzocco, 2003, math/0311261.

Generating series for GUE correlators

B. Dubrovin, Di Yang, 2017, Letters in Mathematical Physics.

Theta functions and non-linear equations

Boris Dubrovin, B. Dubrovin, 1981 .

Geometry and arithmetic of integrable hierarchies of KdV type. I. Integrality

B. Dubrovin, D. Zagier, Di Yang, 2021, Advances in Mathematics.

Algebraic spectral curves over $\mathbb Q$ and their tau-functions.

B. Dubrovin, 2018, 1807.11258.

Hodge–GUE Correspondence and the Discrete KdV Equation

B. Dubrovin, You-jin Zhang, Di Yang, 2016, Communications in Mathematical Physics.

Differential geometry of the space of orbits of a Coxeter group

B. Dubrovin, 1993, hep-th/9303152.

Classical double, R-operators, and negative flows of integrable hierarchies

B. Dubrovin, T. Skrypnyk, 2010, 1011.4894.

Matrix Resolvent and the Discrete KdV Hierarchy

B. Dubrovin, Di Yang, 2020, Communications in Mathematical Physics.

Remarks on intersection numbers and integrable hierarchies, I: Quasi-triviality

B. Dubrovin, Di Yang, 2019, Advances in Theoretical and Mathematical Physics.

Matrix finite-zone operators

B. Dubrovin, B. A. Dubrovin, 1985 .

Numerical Study of Breakup in Generalized Korteweg-de Vries and Kawahara Equations

Boris Dubrovin, Tamara Grava, Christian Klein, 2010, SIAM J. Appl. Math..

Hamiltonian formalism of one-dimensional systems of hydrodynamic type

B. Dubrovin, S. Novikov, 1983 .

Periodic problems for the Korteweg — de Vries equation in the class of finite band potentials

B. Dubrovin, 1975 .

The geometry of surfaces, transformation groups, and fields

Sergei Petrovich Novikov, Boris Dubrovin, Anatoliĭ Timofeevich Fomenko, 1984 .

Integrable systems in topological field theory

B. Dubrovin, 1992 .

Integrable Systems. I

Sergei Petrovich Novikov, Boris Dubrovin, Igor Krichever, 2001 .

The classification of nonsingular multidimensional

B. Dubrovin, 2022 .

Geometry of 2D topological field theories

B. Dubrovin, 1994, hep-th/9407018.

Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2018, Communications in Mathematical Physics.

Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2017, Communications in Mathematical Physics.

Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs

B. Dubrovin, You-jin Zhang, Di Yang, 2014, 1409.4616.

Painleve transcendents in two-dimensional topological eld theory

B. Dubrovin, 1999 .

The Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogoliubov-Whitham averaging method

B. Dubrovin, S. Novikov, 1983 .

The Extended Toda Hierarchy

B. Dubrovin, Guido Carlet, You-jin Zhang, 2003, Moscow Mathematical Journal.

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

B. Dubrovin, You-jin Zhang, 1997, hep-th/9712232.

Bihamiltonian structures of PDEs and Frobenius manifolds

B. Dubrovin, 2005 .

Exact solutions of the time-dependent Schroedinger equation with self-consistent potential

B. Dubrovin, V. Makhankov, I. Krichever, 1988 .

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations

Antonio Moro, Boris Dubrovin, Tamara Grava, 2013, J. Nonlinear Sci..

On universality of critical behaviour in the focusing nonlinear Schr\"odinger equation, elliptic umbilic catastrophe and the {\it tritronqu\'ee} solution to the Painlev\'e-I equation

Boris Dubrovin, Tamara Grava, Christian Klein, 2007, 0704.0501.

On the critical behavior in nonlinear evolutionary PDEs with small viscosity

B. Dubrovin, M. Elaeva, 2012, 1301.7216.

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

B. Dubrovin, S. Novikov, 1989 .

On an isomonodromy deformation equation without the Painlevé property

B. Dubrovin, A. Kapaev, 2013, 1301.7211.

A Riemann-Hilbert Approach to the Heun Equation

B. Dubrovin, A. Kapaev, 2018, Symmetry, Integrability and Geometry: Methods and Applications.

NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES

Sergei Petrovich Novikov, Boris Dubrovin, V. Matveev, 1976 .

Real two-zone solutions of the sine-Gordon equation

B. Dubrovin, S. Natanzon, 1982 .

Monodromy of certain Painlev e-VI transcendents and reection groups

B. Dubrovin, M. Mazzocco, 2006 .

Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov Bihamiltonian Structures

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2007, 0710.3115.

ON POISSON BRACKETS OF HYDRODYNAMIC TYPE

B. Dubrovin, S. Novikov, 2008 .

Flat Structure on the Space of Isomonodromic Deformations

B. Dubrovin, R. Vidunas, A. V. Kitaev, 2020 .

Linearly degenerate Hamiltonian PDEs and a new class of solutions to the WDVV associativity equations

S. A. Zykov, B. Dubrovin, M. Pavlov, 2011, 1401.0719.

Integrable Systems and Classification of 2-Dimensional Topological Field Theories

B. Dubrovin, 1993 .

Isomonodromy deformations at an irregular singularity with coalescing eigenvalues

B. Dubrovin, D. Guzzetti, G. Cotti, 2017, Duke Mathematical Journal.

Virasoro Symmetries of the Extended Toda Hierarchy

B. Dubrovin, You-jin Zhang, 2003, math/0308152.

Simple Lie algebras and topological ODEs

B. Dubrovin, M. Bertola, Di Yang, 2015, 1508.03750.

Differential geometry of moduli spaces

B. Dubrovin, 1998 .

Flat pencils of metrics and Frobenius manifolds

B. Dubrovin, 1998, math/9803106.

Differential geometry of moduli spaces and its applications to soliton equations and to topological conformal field theory

B. Dubrovin, 1991 .

Александр Петрович Веселов (к 60-летию со дня рождения)@@@Aleksandr Petrovich Veselov (on his 60th birthday)

B. Dubrovin, G. Felder, O. Chalykh, 2016 .

MAGNETIC BLOCH FUNCTIONS AND VECTOR BUNDLES. TYPICAL DISPERSION LAWS AND THEIR QUANTUM NUMBERS

B. Dubrovin, S. Novikov, 2007 .

Gromov–Witten invariants of the Riemann sphere

B. Dubrovin, D. Zagier, Di Yang, 2018, 1802.00711.

Completely integrable Hamiltonian systems associated with matrix operators and Abelian varieties

Boris Dubrovin, B. Dubrovin, 1977 .

METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS

V. Matveev, B. Dubrovin, S. Novikov, 2017 .

Three‐Phase Solutions of the Kadomtsev–Petviashvili Equation

Boris Dubrovin, Harvey Segur, B. Dubrovin, 1997 .

Recurrent procedure for the determination of the Free Energy $\epsilon^{2}$-expansion in the Topological String Theory

B. Dubrovin, A. Maltsev, 1999 .

The geometry and topology of manifolds

B. Dubrovin, S. Novikov, A. Fomenko, 1985 .

Modern Geometry-Methods and Applications(Part II. The Geometry and Topology of Manifolds)

Sergei Petrovich Novikov, Boris Dubrovin, Anatoliĭ Timofeevich Fomenko, 2010 .

Minimal Liouville gravity correlation numbers from Douglas string equation

B. Dubrovin, A. Belavin, Baur Mukhametzhanov, 2013, 1310.5659.

Singularity Theory and Integrable Systems Organised

B. Dubrovin, I. Strachan, 2013 .

Helix Structures in Quantum Cohomology of Fano Varieties

B. Dubrovin, D. Guzzetti, G. Cotti, 2018, 1811.09235.

Local Moduli of Semisimple Frobenius Coalescent Structures

B. Dubrovin, D. Guzzetti, G. Cotti, 2017, Symmetry, Integrability and Geometry: Methods and Applications.

Simple Lie Algebras, Drinfeld–Sokolov Hierarchies, and Multi-Point Correlation Functions

B. Dubrovin, M. Bertola, Di Yang, 2016, Moscow Mathematical Journal.

Integrable Systems of Double Ramification Type

B. Dubrovin, A. Buryak, J'er'emy Gu'er'e, 2016, International Mathematics Research Notices.

O ct 2 01 5 Simple Lie algebras and topological ODEs

B. Dubrovin, M. Bertola, Di Yang, 2018 .

Extended affine Weyl groups of BCD-type: Their Frobenius manifolds and Landau–Ginzburg superpotentials

B. Dubrovin, You-jin Zhang, I. Strachan, 2019, Advances in Mathematics.

Extended affine Weyl groups of BCD type, Frobenius manifolds and their Landau-Ginzburg superpotentials

B. Dubrovin, You-jin Zhang, I. Strachan, 2015, 1510.08690.

On the genus two free energies for semisimple Frobenius manifolds

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2012, Russian Journal of Mathematical Physics.

Hamiltonian perturbations of hyperbolic PDEs: from classification results to the properties of solutions

B. Dubrovin, 2009 .

Symplectic Field Theory of a Disk, Quantum Integrable Systems, and Schur Polynomials

B. Dubrovin, 2014, 1407.5824.

On universality of critical behaviour in Hamiltonian PDEs

Boris Dubrovin, B. Dubrovin, 2008, 0804.3790.

Hamiltonian PDEs: deformations, integrability, solutions

B. Dubrovin, Boris Dubrovin, 2010 .

On cubic Hodge integrals and random matrices

B. Dubrovin, Di Yang, 2016, 1606.03720.

Extended affine Weyl groups and Frobenius manifolds

B. Dubrovin, You-jin Zhang, 1996, Compositio Mathematica.

Matrix Resolvent and the Discrete KdV Hierarchy

B. Dubrovin, Di Yang, 2019, 1903.11578.

I. M. Krichever Methods of algebraic geometry in the theory of non-linear equations

M. Kruskal, V. Matveev, B. Dubrovin, 2018 .

Integrable systems and classification of 2D topological field theories

Boris Dubrovin, B. Dubrovin, 1993 .

Symplectic Field Theory of a Disk, Quantum Integrable Systems, and Schur Polynomials

B. Dubrovin, 2015, Annales Henri Poincaré.

Theory of operators and real algebraic geometry

B. Dubrovin, 1988 .

On analytic families of invariant tori for PDEs

B. Dubrovin, 2004 .

Dispersion Relations for Nonlinear Waves and the Schottky Problem

B. Dubrovin, 1993 .

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

B. Dubrovin, 1992 .

Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method

B. Dubrovin, Daniele Valeri, Di Yang, 2021, Symmetry, Integrability and Geometry: Methods and Applications.

Sergei Petrovich Novikov (on his fiftieth birthday)

A. Shiryaev, O. Oleinik, Y. Sinai, 1988 .

Classical Hurwitz numbers and related combinatorics

B. Dubrovin, D. Zagier, Di Yang, 2016 .

THE SCHRÖDINGER EQUATION IN A PERIODIC FIELD AND RIEMANN SURFACES

B. Dubrovin, S. Novikov, I. M. Kričever, 2007 .

On a class of compact perturbations of the special pole-free joint solution of KdV and $P_I^2.$

B. Dubrovin, A. Minakov, 2019, 1901.07470.

Viktor Matveevich Buchstaber (on his 70th birthday)

A. Veselov, B. Dubrovin, S. Novikov, 2013 .

Differential geometry of strongly integrable systems of hydrodynamic type

B. Dubrovin, 1990 .

Aspects of p-adic geometry related to entanglement entropy

B. Dubrovin, 2020 .

ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS

V. Matveev, B. Dubrovin, S. Novikov, 2017 .

Topological Conformal Field Theory from the Point of View of Integrable Systems

B. Dubrovin, 1993 .

Extended affine Weyl groups and Frobenius manifolds -- II

B. Dubrovin, You-jin Zhang, Dafeng Zuo, 2005, math/0502365.

Weakly deformed soliton lattices

B. Dubrovin, 1990 .

THE KADOMCEV-PETVIAŠVILI EQUATION AND THE RELATIONS BETWEEN THE PERIODS OF HOLOMORPHIC DIFFERENTIALS ON RIEMANN SURFACES

B. Dubrovin, 1982 .

Vladimir Petrovich Platonov (on his fiftieth birthday)

A. Shiryaev, O. Oleinik, Y. Sinai, 1990 .

Correlation functions of the KdV hierarchy and applications to intersection numbers over M¯g,n

B. Dubrovin, M. Bertola, Di Yang, 2015, 1504.06452.