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On unicity of meromorphic solutions to difference Painlevé equation.
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- Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 8, p. 3093, doi. 10.1002/mma.4802
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PAINLEVÉ EQUATION PII AND STRONGLY NORMAL EXTENSIONS.
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- Demonstratio Mathematica, 2018, v. 51, n. 1, p. 386, doi. 10.1515/dema-2016-0033
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Hankel Determinant Approach to Generalized Vorob'ev-Yablonski Polynomials and Their Roots.
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- Constructive Approximation, 2016, v. 44, n. 3, p. 417, doi. 10.1007/s00365-016-9328-4
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Painlevé Equation PII and Strongly Normal Extensions.
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- Demonstratio Mathematica, 2016, v. 49, n. 4, p. 386, doi. 10.1515/dema-2016-0033
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Integrability and equivalence relationships of six integrable coupled Korteweg-de Vries equations.
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- Mathematical Methods in the Applied Sciences, 2016, v. 39, n. 12, p. 3516, doi. 10.1002/mma.3859
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Power Geometry and Elliptic Expansions of Solutions to the Painlevé Equations.
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- International Journal of Differential Equations, 2015, v. 2015, p. 1, doi. 10.1155/2015/340715
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On the Darboux integrability of the Painlevé II equations.
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- Journal of Nonlinear Mathematical Physics, 2015, v. 22, n. 1, p. 60, doi. 10.1080/14029251.2015.996441
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Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé Equations.
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- Abstract & Applied Analysis, 2014, p. 1, doi. 10.1155/2014/782024
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Bäcklund transformations for certain rational solutions of Painlevé VI.
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- Journal of Nonlinear Mathematical Physics, 2013, v. 20, p. 3, doi. 10.1080/14029251.2013.862430
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Meromorphic Painlevé transcendents at a fixed singularity.
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- Mathematische Nachrichten, 2013, v. 286, n. 8/9, p. 861, doi. 10.1002/mana.200810241
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A method for the numerical solution of the Painlevé equations.
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- Computational Mathematics & Mathematical Physics, 2013, v. 53, n. 5, p. 540, doi. 10.1134/S0965542513050023
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Exact solution of the sixth Painlevé equation and exotic asymptotic expansion.
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- Doklady Mathematics, 2013, v. 87, n. 3, p. 314, doi. 10.1134/S1064562413030198
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Numerical solution of the Painlevé V equation.
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- Computational Mathematics & Mathematical Physics, 2013, v. 53, n. 1, p. 44, doi. 10.1134/S0965542513010028
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Numerical solution of the Painlevé IV equation.
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- Computational Mathematics & Mathematical Physics, 2012, v. 52, n. 11, p. 1565, doi. 10.1134/S0965542512110036
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General Parametric Solution of the Panlevé-Ince Nonlinear ODE and of Some Relative Equations in Mathematical Physics.
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- IAENG International Journal of Applied Mathematics, 2012, v. 42, n. 3, p. 155
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Tronquée solutions of the painlevé II equation.
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- Theoretical & Mathematical Physics, 2012, v. 172, n. 2, p. 1136, doi. 10.1007/s11232-012-0102-x
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Expansions of solutions to the fifth Painlevé equation near its nonsingular point.
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- Doklady Mathematics, 2012, v. 85, n. 1, p. 87, doi. 10.1134/S1064562412010292
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Local expansions of solutions to the fifth Painlevé equation.
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- Doklady Mathematics, 2011, v. 83, n. 3, p. 348, doi. 10.1134/S1064562411030276
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A Note on the Lie Symmetry Analysis and Exact Solutions for the Extended mKdV Equation.
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- Acta Applicandae Mathematicae, 2011, v. 113, n. 1, p. 41, doi. 10.1007/s10440-010-9582-6
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Universal character and q-difference Painlevé equations.
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- Mathematische Annalen, 2009, v. 345, n. 2, p. 395, doi. 10.1007/s00208-009-0359-z
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Generalization of Okamoto's Equation to Arbitrary 2 x 2 Schlesinger System.
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- Advances in Mathematical Physics, 2009, p. 1, doi. 10.1155/2009/461860
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Contiguity relations for discrete and ultradiscrete Painlevé equations.
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- Journal of Nonlinear Mathematical Physics, 2008, v. 15, n. 4, p. 353, doi. 10.2991/jnmp.2008.15.4.1
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The Bi-Hamiltonian Structure and New Solutions of KdV6 Equation.
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- Letters in Mathematical Physics, 2008, v. 86, n. 2/3, p. 193, doi. 10.1007/s11005-008-0281-4
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QUANTUM PAINLEVÉ SYSTEMS OF TYPE $A_{n-1}^{(1)}$ WITH HIGHER DEGREE LAX OPERATORS.
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- International Journal of Mathematics, 2007, v. 18, n. 7, p. 839, doi. 10.1142/S0129167X07004321
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Random Matrix Theory and Entanglement in Quantum Spin Chains.
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- Communications in Mathematical Physics, 2004, v. 252, n. 1-3, p. 543, doi. 10.1007/s00220-004-1188-2
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Asymptotic properties of a family of solutionsof the Painlevé equation PVI.
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- IMRN: International Mathematics Research Notices, 2002, v. 2002, n. 22, p. 1167, doi. 10.1155/S1073792802201130
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