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Quantum K-theory and integrability.
- Published in:
- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2024, v. 39, n. 33, p. 1, doi. 10.1142/S0217751X24460102
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Bosonic quantum integrable systems and gauge theories.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2024, v. 39, n. 33, p. 1, doi. 10.1142/S0217751X24460096
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- Article
Möbius Invariant Y-systems (Cluster Structures) for Miquel Dynamics.
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- IMRN: International Mathematics Research Notices, 2024, v. 2024, n. 23, p. 14233, doi. 10.1093/imrn/rnae237
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A Few Kinds of Loop Algebras and Some Applications.
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- Axioms (2075-1680), 2024, v. 13, n. 12, p. 830, doi. 10.3390/axioms13120830
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- Article
Quantitative Behavior Of Non-Integrable Systems. IV.
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- Acta Mathematica Hungarica, 2022, v. 167, n. 1, p. 1, doi. 10.1007/s10474-022-01240-3
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Quantitative behavior of non-integrable systems. III.
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- Acta Mathematica Hungarica, 2022, v. 166, n. 2, p. 254, doi. 10.1007/s10474-022-01229-y
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Quantitative behavior of non-integrable systems. I.
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- Acta Mathematica Hungarica, 2020, v. 161, n. 1, p. 66, doi. 10.1007/s10474-020-01018-5
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Parametric Resonance in Integrable Systems and Averaging on Riemann Surfaces.
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- Journal of Mathematical Sciences, 2021, v. 258, n. 1, p. 65, doi. 10.1007/s10958-021-05536-7
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- Article
Integrable Homogeneous Dissipative Dynamical Systems of an Arbitrary Odd Order.
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- Journal of Mathematical Sciences, 2020, v. 251, n. 5, p. 760, doi. 10.1007/s10958-020-05127-y
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Examples of Integrable Systems with Dissipation on the Tangent Bundles of Four-Dimensional Manifolds.
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- Journal of Mathematical Sciences, 2020, v. 250, n. 6, p. 973, doi. 10.1007/s10958-020-05057-9
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Examples of Integrable Systems with Dissipation on the Tangent Bundles of Three-Dimensional Manifolds.
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- Journal of Mathematical Sciences, 2020, v. 250, n. 6, p. 964, doi. 10.1007/s10958-020-05055-x
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Examples of Integrable Systems with Dissipation on the Tangent Bundles of Multidimensional Spheres.
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- Journal of Mathematical Sciences, 2020, v. 250, n. 6, p. 932, doi. 10.1007/s10958-020-05054-y
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Integrable Systems with Dissipation on the Tangent Bundles of 2- and 3-Dimensional Spheres.
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- Journal of Mathematical Sciences, 2020, v. 245, n. 6, p. 498, doi. 10.1007/s10958-020-04706-3
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Integrable Seventh and Ninth Order Dynamic Systems with Dissipation.
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- Journal of Mathematical Sciences, 2020, v. 244, n. 4, p. 686, doi. 10.1007/s10958-019-04642-x
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Integrable Dynamical Systems with Dissipation on Tangent Bundles of 2D and 3D Manifolds.
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- Journal of Mathematical Sciences, 2020, v. 244, n. 2, p. 335, doi. 10.1007/s10958-019-04622-1
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Integrable Third and Fifth Order Dynamical Systems with Dissipation.
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- Journal of Mathematical Sciences, 2019, v. 239, n. 3, p. 412, doi. 10.1007/s10958-019-04313-x
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New Examples of Integrable Systems with Dissipation on the Tangent Bundles of Multidimensional Spheres.
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- Journal of Mathematical Sciences, 2019, v. 236, n. 6, p. 687, doi. 10.1007/s10958-018-4140-2
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Integrable Dynamic Systems with Dissipation and Finitely Many Degrees of Freedom.
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- Journal of Mathematical Sciences, 2018, v. 235, n. 3, p. 334, doi. 10.1007/s10958-018-4077-5
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Integrable Variable Dissipation Systems on the Tangent Bundle of a Multi-Dimensional Sphere and Some Applications.
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- Journal of Mathematical Sciences, 2018, v. 230, n. 2, p. 185, doi. 10.1007/s10958-018-3738-8
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The Case of Integrable Systems with Dissipation on the Tangent Bundle of a Multidimensional Sphere.
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- Journal of Mathematical Sciences, 2018, v. 228, n. 6, p. 723, doi. 10.1007/s10958-017-3649-0
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Integrable Systems with Variable Dissipation on the Tangent Bundle of a Sphere.
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- Journal of Mathematical Sciences, 2016, v. 219, n. 2, p. 321, doi. 10.1007/s10958-016-3107-4
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Degenerately Integrable Systems.
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- Journal of Mathematical Sciences, 2016, v. 213, n. 5, p. 769, doi. 10.1007/s10958-016-2738-9
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Supersymmetric Integrable Hamiltonian Systems, Conformal Lie Superalgebras K (1, N = 1, 2, 3), and Their Factorized Semi-Supersymmetric Generalizations.
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- Symmetry (20738994), 2024, v. 16, n. 11, p. 1441, doi. 10.3390/sym16111441
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Bounding the Number of Zeros of Abelian Integral for a Class of Integrable non-Hamilton System.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2017, v. 27, n. 13, p. -1, doi. 10.1142/S0218127417501966
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Exact Solutions in the Invariant Manifolds of the Generalized Integrable Hénon-Heiles System and Exact Traveling Wave Solutions of Klein-Gordon-Schrödinger Equations.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2017, v. 27, n. 1, p. -1, doi. 10.1142/S0218127417500122
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Non-local Poisson structures and applications to the theory of integrable systems.
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- Japanese Journal of Mathematics, 2013, v. 8, n. 2, p. 233, doi. 10.1007/s11537-013-1306-z
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Explicit solutions of boundary-value problems for (2 + 1)-dimensional integrable systems.
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- Mathematical Notes, 2013, v. 93, n. 3/4, p. 360, doi. 10.1134/S0001434613030024
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- Article
New Cases of Integrable Ninth-Order Conservative and Dissipative Dynamical Systems.
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- Doklady Mathematics, 2024, v. 110, n. 1, p. 337, doi. 10.1134/S1064562424601434
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- Article
New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Four-Dimensional Manifolds.
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- Doklady Mathematics, 2021, v. 103, n. 2, p. 85, doi. 10.1134/S1064562421020046
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New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Three-Dimensional Manifolds.
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- Doklady Mathematics, 2020, v. 102, n. 3, p. 518, doi. 10.1134/S1064562420060265
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- Article
New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Two-Dimensional Manifolds.
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- Doklady Mathematics, 2020, v. 102, n. 2, p. 443, doi. 10.1134/S1064562420050403
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New Cases of Integrable Odd-Order Systems with Dissipation.
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- Doklady Mathematics, 2020, v. 101, n. 2, p. 158, doi. 10.1134/S1064562420020234
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Modeling Nondegenerate Bifurcations of Closures of Solutions for Integrable Systems with Two Degrees of Freedom by Integrable Topological Billiards.
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- Doklady Mathematics, 2018, v. 97, n. 2, p. 174, doi. 10.1134/S1064562418020230
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Invariants of four- and three-dimensional singularities of integrable systems.
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- Doklady Mathematics, 2016, v. 93, n. 2, p. 186, doi. 10.1134/S1064562416020198
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Net diagrams for the Fomenko invariant in the integrable system with three degrees of freedom.
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- Doklady Mathematics, 2012, v. 86, n. 3, p. 839, doi. 10.1134/S1064562412060282
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Integrable motion of two interacting curves, spin systems and the Manakov system.
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- International Journal of Geometric Methods in Modern Physics, 2017, v. 14, n. 7, p. -1, doi. 10.1142/S0219887817501158
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- Article
Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid.
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- Advances in High Energy Physics, 2015, p. 1, doi. 10.1155/2015/701042
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Semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site resonant coupling.
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- Journal of Nonlinear Mathematical Physics, 2017, v. 24, n. 2, p. 250, doi. 10.1080/14029251.2017.1316011
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Integrable systems from inelastic curve flows in 2– and 3– dimensional Minkowski space.
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- Journal of Nonlinear Mathematical Physics, 2016, v. 23, n. 2, p. 256, doi. 10.1080/14029251.2016.1175822
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Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems.
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- Journal of Nonlinear Mathematical Physics, 2014, v. 21, n. 4, p. 643, doi. 10.1080/14029251.2014.975532
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The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation.
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- Journal of Nonlinear Mathematical Physics, 2014, v. 21, n. 3, p. 382, doi. 10.1080/14029251.2014.936759
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Combinatorics of Matrix Factorizations and Integrable Systems.
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- Journal of Nonlinear Mathematical Physics, 2013, v. 20, p. 34, doi. 10.1080/14029251.2013.862433
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Four-Wave Semidiscrete Nonlinear Integrable System with PT -Symmetry.
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- Journal of Nonlinear Mathematical Physics, 2013, v. 20, n. 4, p. 606, doi. 10.1080/14029251.2013.865827
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Integrable systems with BMS Poisson structure and the dynamics of locally flat spacetimes.
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- Journal of High Energy Physics, 2018, v. 2018, n. 1, p. 1, doi. 10.1007/JHEP01(2018)148
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- Article
Lie-Algebraic Structure of the Lax-Integrable (2|1 + 1)-Dimensional Supersymmetric Matrix Dynamical Systems.
- Published in:
- Ukrainian Mathematical Journal, 2018, v. 69, n. 10, p. 1537, doi. 10.1007/s11253-018-1454-7
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On Completely Integrable Calogero-Type Discretizations of Nonlinear Lax Integrable Dynamical Systems and Related Markov-Type Coadjoint Orbits.
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- Ukrainian Mathematical Journal, 2016, v. 68, n. 5, p. 746, doi. 10.1007/s11253-016-1255-9
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Frobenius manifolds and Frobenius algebra-valued integrable systems.
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- Letters in Mathematical Physics, 2017, v. 107, n. 6, p. 997, doi. 10.1007/s11005-017-0939-x
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Double Ramification Cycles and Quantum Integrable Systems.
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- Letters in Mathematical Physics, 2016, v. 106, n. 3, p. 289, doi. 10.1007/s11005-015-0814-6
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On One Integrable System With a Cubic First Integral.
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- Letters in Mathematical Physics, 2012, v. 101, n. 2, p. 143, doi. 10.1007/s11005-012-0562-9
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A New Discrete Integrable System Derived from a Generalized Ablowitz-Ladik Hierarchy and Its Darboux Transformation.
- Published in:
- Discrete Dynamics in Nature & Society, 2012, p. 1, doi. 10.1155/2012/652076
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- Article