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Kinetic Equation for Soliton Gas: Integrable Reductions

Journal of nonlinear science, 2022-04, Vol.32 (2), Article 26

2022

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On the central quadric ansatz: integrable models and Painlevé reductions

Journal of physics. A, Mathematical and theoretical, 2012-05, Vol.45 (19), p.195204-11

2012

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On the integrability of (2+1)-dimensional quasilinear systems

Communications in mathematical physics, 2004-06, Vol.248 (1), p.187-206

2004

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Higher-order reductions of the Mikhalev system

Letters in mathematical physics, 2024-05, Vol.114 (3), Article 68

2024

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Erratum to: On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws

Manuscripta mathematica, 2023, Vol.172 (1-2), p.621-621

2023

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On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws

Manuscripta mathematica, 2023-09, Vol.172 (1-2), p.599-620

2023

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On the Einstein-Weyl and conformal self-duality equations

Journal of mathematical physics, 2015-08, Vol.56 (8)

2015

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Dispersive deformations of hydrodynamic reductions of (2 + 1)D dispersionless integrable systems

Journal of physics. A, Mathematical and theoretical, 2009-01, Vol.42 (3), p.035211-035211 (15)

2009

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Integrability of Dispersionless Hirota-Type Equations and the Symplectic Monge–Ampère Property

International mathematics research notices, 2021-09, Vol.2021 (18), p.14220-14251

2021

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Integrable equations in 2 + 1 dimensions: deformations of dispersionless limits

Journal of physics. A, Mathematical and theoretical, 2009-08, Vol.42 (34), p.345205-345205 (18)

2009

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Second-order integrable Lagrangians and WDVV equations

Letters in mathematical physics, 2021-04, Vol.111 (2), Article 58

2021

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Second-Order PDEs in 3D with Einstein–Weyl Conformal Structure

Annales Henri Poincaré, 2022-07, Vol.23 (7), p.2579-2609

2022

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Second-order PDEs in four dimensions with half-flat conformal structure

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2020-01, Vol.476 (2233), p.20190642-20190642

2020

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Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

Journal of mathematical physics, 2011-07, Vol.52 (7), p.073505-073505-28

2011

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On the classification of scalar evolutionary integrable equations in 2 + 1 dimensions

Journal of mathematical physics, 2011-02, Vol.52 (2), p.023516-023516-11

2011

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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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On a class of integrable systems of Monge-Ampère type

Journal of mathematical physics, 2017-06, Vol.58 (6)

2017

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Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability

Journal of mathematical physics, 2004-06, Vol.45 (6), p.2365-2377

2004

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Quasilinear systems with linearizable characteristic webs

Journal of mathematical physics, 2017-07, Vol.58 (7)

2017

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On a Class of Three-Dimensional Integrable Lagrangians

Communications in mathematical physics, 2006-01, Vol.261 (1), p.225-243

2006

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Hamiltonian systems of Jordan block type: Delta-functional reductions of the kinetic equation for soliton gas

Journal of mathematical physics, 2023-10, Vol.64 (10)

2023

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Towards the classification of integrable differential-difference equations in 2 + 1 dimensions

Journal of physics. A, Mathematical and theoretical, 2013-06, Vol.46 (24), p.245207-13

2013

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Hydrodynamic reductions of the heavenly equation

Classical and quantum gravity, 2003-06, Vol.20 (11), p.2429-2441

2003

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Quasilinear systems of Jordan block type and the mKP hierarchy

Journal of physics. A, Mathematical and theoretical, 2020-05, Vol.53 (20), p.205202

2020

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Characteristic integrals in 3D and linear degeneracy

Journal of nonlinear mathematical physics, 2014-06, Vol.21 (2), p.214-224

2014

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Kinetic Equation for Soliton Gas: Integrable Reductions

On the central quadric ansatz: integrable models and Painlevé reductions

On the integrability of (2+1)-dimensional quasilinear systems

Higher-order reductions of the Mikhalev system

Erratum to: On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws

On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws

On the Einstein-Weyl and conformal self-duality equations

Dispersive deformations of hydrodynamic reductions of (2 + 1)D dispersionless integrable systems

Integrability of Dispersionless Hirota-Type Equations and the Symplectic Monge–Ampère Property

Integrable equations in 2 + 1 dimensions: deformations of dispersionless limits

Second-order integrable Lagrangians and WDVV equations

Second-Order PDEs in 3D with Einstein–Weyl Conformal Structure

Second-order PDEs in four dimensions with half-flat conformal structure

Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

On the classification of scalar evolutionary integrable equations in 2 + 1 dimensions

Alexander Petrovich Veselov

On a class of integrable systems of Monge-Ampère type

Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability

Quasilinear systems with linearizable characteristic webs

On a Class of Three-Dimensional Integrable Lagrangians

Hamiltonian systems of Jordan block type: Delta-functional reductions of the kinetic equation for soliton gas

Towards the classification of integrable differential-difference equations in 2 + 1 dimensions

Hydrodynamic reductions of the heavenly equation

Quasilinear systems of Jordan block type and the mKP hierarchy

Characteristic integrals in 3D and linear degeneracy

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