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Observation of Fermi-Pasta-Ulam-Tsingou Recurrence and Its Exact Dynamics

Physical review. X, 2018-10, Vol.8 (4), p.041017, Article 041017

2018

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The finite gap method and the analytic description of the exact rogue wave recurrence in the periodic NLS Cauchy problem. 1

Nonlinearity, 2018-11, Vol.31 (11), p.5258-5308

2018

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The periodic N breather anomalous wave solution of the Davey–Stewartson equations; first appearance, recurrence, and blow up properties

Journal of physics. A, Mathematical and theoretical, 2024-01, Vol.57 (1), p.15208

2024

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Moutard Transform for Generalized Analytic Functions

The Journal of geometric analysis, 2016-10, Vol.26 (4), p.2984-2995

2016

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The linear and nonlinear instability of the Akhmediev breather

Nonlinearity, 2021-12, Vol.34 (12), p.8331-8358

2021

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Creation and annihilation of point-potentials using Moutard-type transform in spectral variable

Journal of mathematical physics, 2020-09, Vol.61 (9)

2020

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The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes

Russian mathematical surveys, 2019-04, Vol.74 (2), p.211-263

2019

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Effect of a small loss or gain in the periodic nonlinear Schrödinger anomalous wave dynamics

Physical review. E, 2020-03, Vol.101 (3-1), p.032204-032204, Article 032204

2020

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Moutard transforms for the conductivity equation

Letters in mathematical physics, 2019-10, Vol.109 (10), p.2209-2222

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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Phase Resonances of the NLS Rogue Wave Recurrence in the Quasisymmetric Case

Theoretical and mathematical physics, 2018-09, Vol.196 (3), p.1294-1306

2018

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The Cauchy problem for the Pavlov equation

Nonlinearity, 2015-11, Vol.28 (11), p.3709-3754

2015

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Multipoint scatterers with bound states at zero energy

Theoretical and mathematical physics, 2017-11, Vol.193 (2), p.1675-1679

2017

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Singular solitons and spectral meromorphy

Russian mathematical surveys, 2017-12, Vol.72 (6), p.1083-1107

2017

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Nonlocality and the Inverse Scattering Transform for the Pavlov Equation

Studies in applied mathematics (Cambridge), 2016-07, Vol.137 (1), p.10-27

2016

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The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes

Physics letters. A, 2018-04, Vol.382 (14), p.973-979

2018

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An integral geometry lemma and its applications: The nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects

Theoretical and mathematical physics, 2016-10, Vol.189 (1), p.1450-1458

2016

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On s-meromorphic ordinary differential operators

Russian mathematical surveys, 2016-01, Vol.71 (6), p.1143-1143

2016

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Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity

Russian mathematical surveys, 2000-12, Vol.55 (6), p.1015-1083

Grinevich, P G

2000

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Spectrally meromorphic operators and non-linear systems

Russian mathematical surveys, 2014-01, Vol.69 (5), p.924-926

2014

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On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator

Russian mathematical surveys, 2015-01, Vol.70 (2), p.299-329

2015

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The finite-gap method and the periodic Cauchy problem for $(2+1)$-dimensional anomalous waves for the focusing Davey-Stewartson $2$ equation

Russian mathematical surveys, 2022, Vol.77 (6), p.1029-1059

2022

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TRANSMISSION EIGENVALUES FOR MULTIPOINT SCATTERERS

Eurasian Journal of Mathematical and Computer Applications, 2021-01, Vol.9 (4), p.17-25

2021

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Faddeev eigenfunctions for point potentials in two dimensions

Physics letters. A, 2012-02, Vol.376 (12-13), p.1102-1106

2012

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Generalized analytic functions, Moutard-type transforms, and holomorphic maps

Functional analysis and its applications, 2016-04, Vol.50 (2), p.150-152

2016

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Observation of Fermi-Pasta-Ulam-Tsingou Recurrence and Its Exact Dynamics

The finite gap method and the analytic description of the exact rogue wave recurrence in the periodic NLS Cauchy problem. 1

The periodic N breather anomalous wave solution of the Davey–Stewartson equations; first appearance, recurrence, and blow up properties

Moutard Transform for Generalized Analytic Functions

The linear and nonlinear instability of the Akhmediev breather

Creation and annihilation of point-potentials using Moutard-type transform in spectral variable

The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes

Effect of a small loss or gain in the periodic nonlinear Schrödinger anomalous wave dynamics

Moutard transforms for the conductivity equation

Alexander Petrovich Veselov

Phase Resonances of the NLS Rogue Wave Recurrence in the Quasisymmetric Case

The Cauchy problem for the Pavlov equation

Multipoint scatterers with bound states at zero energy

Singular solitons and spectral meromorphy

Nonlocality and the Inverse Scattering Transform for the Pavlov Equation

The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes

An integral geometry lemma and its applications: The nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects

On s-meromorphic ordinary differential operators

Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity

Spectrally meromorphic operators and non-linear systems

On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator

The finite-gap method and the periodic Cauchy problem for $(2+1)$-dimensional anomalous waves for the focusing Davey-Stewartson $2$ equation

TRANSMISSION EIGENVALUES FOR MULTIPOINT SCATTERERS

Faddeev eigenfunctions for point potentials in two dimensions

Generalized analytic functions, Moutard-type transforms, and holomorphic maps

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