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On the Integral Geometry of Liouville Billiard Tables

Communications in mathematical physics, 2011-05, Vol.303 (3), p.721-759

2011

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On nonlinear interpolation

Proceedings of the American Mathematical Society, 2015-08, Vol.143 (8), p.3421-3428

2015

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Qualitative Features of Periodic Solutions of KdV

Communications in partial differential equations, 2013-09, Vol.38 (9), p.1626-1673

2013

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Arnold--Liouville Theorem for Integrable PDEs: A Case Study of the Focusing NLS Equation

SIAM journal on mathematical analysis, 2022-01, Vol.54 (4), p.4334-4378

2022

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On geodesic exponential maps of the Virasoro group

Annals of global analysis and geometry, 2007-04, Vol.31 (2), p.155-180

2007

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Global wellposedness of KdV in H − 1 ( T , R )

Duke mathematical journal, 2006-11, Vol.135 (2), p.327-360

2006

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Global Well-Posedness of mKdV in L 2 ( , ℝ)

Communications in partial differential equations, 2005-03, Vol.30 (3), p.435-449

2005

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Birkhoff Coordinates for the Focusing NLS Equation

Communications in mathematical physics, 2009-02, Vol.285 (3), p.1087-1107

2009

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Asymptotics of spectral quantities of Zakharov–Shabat operators

Journal of Differential Equations, 2018-12, Vol.265 (11), p.5604-5653

2018

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Discrete analog of the projective equivalence and integrable billiard tables

Ergodic theory and dynamical systems, 2008-10, Vol.28 (5), p.1657-1684

2008

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Scattering-like phenomena of the periodic defocusing NLS equation

Mathematical research letters, 2017, Vol.24 (3), p.803-826

2017

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On the Symplectic Phase Space of KdV

Proceedings of the American Mathematical Society, 2008-05, Vol.136 (5), p.1691-1698

2008

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Generic non-selfadjoint Zakharov–Shabat operators

Mathematische annalen, 2014-06, Vol.359 (1-2), p.427-470

2014

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Liouville billiard tables and an inverse spectral result

Ergodic theory and dynamical systems, 2003-02, Vol.23 (1), p.225-248

2003

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Geodesic compatibility and integrability of geodesic flows

Journal of mathematical physics, 2003-02, Vol.44 (2), p.913-929

Topalov, Peter

2003

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Hierarchy of integrable geodesic flows

Publicacions matemàtiques, 2000, Vol.44 (1), p.257-276

Topalov, P.

2000

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On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators

Journal of functional analysis, 2009-04, Vol.256 (7), p.2069-2112

2009

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Critical points of the rotation function of an integrable Hamiltonian system

Russian mathematical surveys, 1996-08, Vol.51 (4), p.752-753

Topalov, P

1996

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mKdV and its Birkhoff coordinates

Physica. D, 2008-07, Vol.237 (10), p.1655-1662

2008

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Interpolation of nonlinear maps

Mathematical Notes, 2014-11, Vol.96 (5-6), p.957-964

2014

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Computation of the fine Fomenko-Zieschang invariant for the main integrable cases of rigid body motion

Sbornik. Mathematics, 1996-04, Vol.187 (3), p.451-468, Article 451

Topalov, P I

1996

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The action variable and the Poincaré Hamiltonian in a neighbourhood of the critical circle

Russian mathematical surveys, 1995-02, Vol.50 (1), p.216-217, Article 216

Topalov, P

1995

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Geodesic hierarchies and involutivity

Journal of mathematical physics, 2001-08, Vol.42 (8), p.3898-3914

Topalov, Peter

2001

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Tensor invariants of natural mechanical systems on compact surfaces, and the corresponding integrals

Sbornik. Mathematics, 1997-02, Vol.188 (2), p.307-326

Topalov, P I

1997

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The inclusion of the Klein bottles in the theory of the topological classification of Hamiltonian systems

Russian mathematical surveys, 1994-02, Vol.49 (1), p.248-250

Topalov, P

1994

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On the Integral Geometry of Liouville Billiard Tables

On nonlinear interpolation

Qualitative Features of Periodic Solutions of KdV

Arnold--Liouville Theorem for Integrable PDEs: A Case Study of the Focusing NLS Equation

On geodesic exponential maps of the Virasoro group

Global wellposedness of KdV in H − 1 ( T , R )

Global Well-Posedness of mKdV in L 2 ( , ℝ)

Birkhoff Coordinates for the Focusing NLS Equation

Asymptotics of spectral quantities of Zakharov–Shabat operators

Discrete analog of the projective equivalence and integrable billiard tables

Scattering-like phenomena of the periodic defocusing NLS equation

On the Symplectic Phase Space of KdV

Generic non-selfadjoint Zakharov–Shabat operators

Liouville billiard tables and an inverse spectral result

Geodesic compatibility and integrability of geodesic flows

Hierarchy of integrable geodesic flows

On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators

Critical points of the rotation function of an integrable Hamiltonian system

mKdV and its Birkhoff coordinates

Interpolation of nonlinear maps

Computation of the fine Fomenko-Zieschang invariant for the main integrable cases of rigid body motion

The action variable and the Poincaré Hamiltonian in a neighbourhood of the critical circle

Geodesic hierarchies and involutivity

Tensor invariants of natural mechanical systems on compact surfaces, and the corresponding integrals

The inclusion of the Klein bottles in the theory of the topological classification of Hamiltonian systems

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