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Global existence and blow-up solutions for a nonlinear shallow water equation.
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- Mathematische Annalen, 2006, v. 335, n. 3, p. 717, doi. 10.1007/s00208-006-0768-1
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Nondegeneracy, Morse Index and Orbital Stability of the KP-I Lump Solution.
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- Archive for Rational Mechanics & Analysis, 2019, v. 234, n. 3, p. 1335, doi. 10.1007/s00205-019-01413-5
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Superfield Bäcklund and Darboux transformations of an supersymmetric coupled dispersionless integrable system.
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- Theoretical & Mathematical Physics, 2024, v. 219, n. 1, p. 629, doi. 10.1134/S0040577924040081
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On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model.
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- Theoretical & Mathematical Physics, 2024, v. 219, n. 1, p. 539, doi. 10.1134/S0040577924040020
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On Bäcklund transformations for some second-order nonlinear differential equations.
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- Theoretical & Mathematical Physics, 2023, v. 217, n. 2, p. 1755, doi. 10.1134/S0040577923110107
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On symmetries of the nonstationary hierarchy and their applications.
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- Theoretical & Mathematical Physics, 2022, v. 213, n. 1, p. 1369, doi. 10.1134/S0040577922100063
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Einstein–Maxwell equations: Solution-generating methods as "coordinate" transformations in the solution spaces.
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- Theoretical & Mathematical Physics, 2022, v. 211, n. 3, p. 866, doi. 10.1134/S0040577922060083
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Bäcklund transformation and applications for the Vakhnenko equation.
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- Theoretical & Mathematical Physics, 2022, v. 210, n. 2, p. 172, doi. 10.1134/S0040577922020027
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Integrable symplectic maps via reduction of Bäcklund transformation.
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- Theoretical & Mathematical Physics, 2021, v. 208, n. 1, p. 886, doi. 10.1134/S0040577921070035
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Properties of solutions of two second-order differential equations with the Painlevé property.
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- Theoretical & Mathematical Physics, 2021, v. 206, n. 3, p. 315, doi. 10.1134/S0040577921030041
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Novikov equation: Bäcklund transformation and applications.
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- Theoretical & Mathematical Physics, 2021, v. 206, n. 2, p. 163, doi. 10.1134/S0040577921020045
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Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a (2+1)-dimensional KdV–mKdV equation.
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- Theoretical & Mathematical Physics, 2021, v. 206, n. 2, p. 142, doi. 10.1134/S0040577921020033
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Binary relations, Bäcklund transformations, and wave packet propagation.
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- Theoretical & Mathematical Physics, 2020, v. 205, n. 1, p. 1245, doi. 10.1134/S0040577920100013
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Bäcklund Transformations for the Degasperis-Procesi Equation.
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- Theoretical & Mathematical Physics, 2020, v. 203, n. 3, p. 747, doi. 10.1134/S0040577920060045
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Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach.
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- Theoretical & Mathematical Physics, 2020, v. 203, n. 2, p. 608, doi. 10.1134/S0040577920050049
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Topological transformations of three-dimensional dissipative solitons in the framework of the generalized Ginzburg—Landau equation.
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- Theoretical & Mathematical Physics, 2020, v. 203, n. 1, p. 547, doi. 10.1134/S0040577920040108
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Group Analysis of the One-Dimensional Boltzmann Equation: IV. Complete Group Classification in the General Case.
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- Theoretical & Mathematical Physics, 2019, v. 201, n. 2, p. 1614, doi. 10.1134/S0040577919110072
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Solution Space Monodromy of a Special Double Confluent Heun Equation and Its Applications.
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- Theoretical & Mathematical Physics, 2019, v. 201, n. 1, p. 1426, doi. 10.1134/S0040577919100027
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Unfamiliar Aspects of Bäcklund Transformations and an Associated Degasperis-Procesi Equation.
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- Theoretical & Mathematical Physics, 2018, v. 196, n. 3, p. 1333, doi. 10.1134/S0040577918090076
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Ermakov-Pinney and Emden-Fowler Equations: New Solutions from Novel Bäcklund Transformations.
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- Theoretical & Mathematical Physics, 2018, v. 196, n. 3, p. 1268, doi. 10.1134/S0040577918090027
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Bäcklund transformations for the Jacobi system on an ellipsoid.
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- Theoretical & Mathematical Physics, 2017, v. 192, n. 3, p. 1350, doi. 10.1134/S0040577917090069
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Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube.
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- Theoretical & Mathematical Physics, 2016, v. 189, n. 1, p. 1459, doi. 10.1134/S0040577916100068
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Bäcklund transformations relating different Hamilton-Jacobi equations.
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- Theoretical & Mathematical Physics, 2015, v. 183, n. 3, p. 768, doi. 10.1007/s11232-015-0295-x
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Integrable vector evolution equations admitting zeroth-order conserved densities.
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- Theoretical & Mathematical Physics, 2010, v. 164, n. 2, p. 1002, doi. 10.1007/s11232-010-0080-9
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The Nizhnik-Veselov-Novikov equation with self-consistent sources.
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- Theoretical & Mathematical Physics, 2008, v. 157, n. 1, p. 1474, doi. 10.1007/s11232-008-0121-9
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Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz.
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- Theoretical & Mathematical Physics, 2008, v. 155, n. 1, p. 567, doi. 10.1007/s11232-008-0047-2
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Superposition formulas for integrable vector evolution equations.
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- Theoretical & Mathematical Physics, 2008, v. 154, n. 2, p. 220, doi. 10.1007/s11232-008-0021-z
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Variational Poisson-Nijenhuis structures for partial differential equations.
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- Theoretical & Mathematical Physics, 2008, v. 154, n. 2, p. 227, doi. 10.1007/s11232-008-0022-y
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Burgers and Kadomtsev-Petviashvili hierarchies: A functional representation approach.
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- Theoretical & Mathematical Physics, 2007, v. 152, n. 1, p. 933, doi. 10.1007/s11232-007-0079-z
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A hierarchy of integrable partial differential equations in 2+1 dimensions associated with one-parameter families of one-dimensional vector fields.
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- Theoretical & Mathematical Physics, 2007, v. 152, n. 1, p. 1004, doi. 10.1007/s11232-007-0084-2
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A novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theory.
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- Theoretical & Mathematical Physics, 2007, v. 152, n. 1, p. 1030, doi. 10.1007/s11232-007-0087-z
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Additional symmetries and Bäcklund transformations for the dispersionless Harry Dym hierarchy.
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- Theoretical & Mathematical Physics, 2007, v. 152, n. 1, p. 915, doi. 10.1007/s11232-007-0077-1
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Bäcklund correspondences for evolution equations in a multidimensional space.
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- Theoretical & Mathematical Physics, 2006, v. 147, n. 1, p. 449, doi. 10.1007/s11232-006-0053-1
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Complex Sine-Gordon-2: A New Algorithm for Multivortex Solutions on the Plane.
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- Theoretical & Mathematical Physics, 2005, v. 144, n. 2, p. 1223, doi. 10.1007/s11232-005-0153-3
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Backlund Loop Algebras for Compact and Noncompact Nonlinear Spin Models in 2+1 Dimensions.
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- Theoretical & Mathematical Physics, 2005, v. 144, n. 1, p. 1014, doi. 10.1007/s11232-005-0129-3
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Rethinking the metabolic allometry of ants.
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- Evolutionary Ecology, 2020, v. 34, n. 2, p. 149, doi. 10.1007/s10682-020-10033-5
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Analysis of solitary wave solutions in the fractional-order Kundu–Eckhaus system.
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- Scientific Reports, 2024, v. 14, n. 1, p. 1, doi. 10.1038/s41598-024-53330-7
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Elementary transformations of systems of equations over quasigroups and generalized identities.
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- Discrete Mathematics & Applications, 2019, v. 29, n. 6, p. 383, doi. 10.1515/dma-2019-0037
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Radially symmetric stationary solutions for certain chemotaxis systems in higher dimensions: A geometric approach.
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- Discrete & Continuous Dynamical Systems: Series A, 2023, v. 43, n. 5, p. 1, doi. 10.3934/dcds.2022188
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Solutions of the generalized kinetic model of annihilation for a mixture of particles of two types.
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- Computational Mathematics & Mathematical Physics, 2016, v. 56, n. 12, p. 2079, doi. 10.1134/S0965542516120101
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Dynamics of the generalized (3 + 1)-dimensional nonlinear Schröbinger equation in cosmic plasmas.
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- Computational Mathematics & Mathematical Physics, 2014, v. 54, n. 3, p. 512, doi. 10.1134/S0965542514030087
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N-soliton solutions, Bäcklund transformation and conservation laws for the integro-differential nonlinear Schröbinger equation from the isotropic inhomogeneous Heisenberg spin magnetic chain.
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- Computational Mathematics & Mathematical Physics, 2014, v. 54, n. 4, p. 727, doi. 10.1134/S0965542514040125
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Bäcklund Transformations between the KdV Equation and a New Nonlinear Evolution Equation.
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- Mathematical Problems in Engineering, 2017, p. 1, doi. 10.1155/2017/5157123
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Transforming a Quartic Equation to the Binomial Form.
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- Resonance: Journal of Science Education, 2024, v. 29, n. 3, p. 375, doi. 10.1007/s12045-024-0375-z
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A Difference Scheme and Its Error Analysis for a Poisson Equation with Nonlocal Boundary Conditions.
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- Complexity, 2020, p. 1, doi. 10.1155/2020/6329404
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Hypergeometric Solutions for the q-Painlevé Equation of Type $${E^{(1)}_6}$$ by the Padé Method.
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- Letters in Mathematical Physics, 2013, v. 103, n. 7, p. 743, doi. 10.1007/s11005-013-0610-0
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Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability.
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- Letters in Mathematical Physics, 2012, v. 99, n. 1-3, p. 321, doi. 10.1007/s11005-011-0513-x
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A Two-component Generalization of the Camassa-Holm Equation and its Solutions.
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- Letters in Mathematical Physics, 2006, v. 75, n. 1, p. 1, doi. 10.1007/s11005-005-0041-7
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Gap Probabilities for Double Intervals in Hermitian Random Matrix Ensembles as t-Functions - Spectrum Singularity Case.
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- Letters in Mathematical Physics, 2004, v. 68, n. 3, p. 139, doi. 10.1023/B:MATH.0000045556.53148.02
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Adaptive global prescribed performance tracking control of uncertain robotic systems with unknown control directions.
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- International Journal of Robust & Nonlinear Control, 2023, v. 33, n. 11, p. 5956, doi. 10.1002/rnc.6675
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