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Characteristic of integrability of nonautonomous KP-modified KP equation and its qualitative studies: soliton, shock, periodic waves, breather, positons and soliton interactions.
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- Nonlinear Dynamics, 2024, v. 112, n. 11, p. 9323, doi. 10.1007/s11071-024-09378-1
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The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations.
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- Theoretical & Mathematical Physics, 2024, v. 219, n. 3, p. 913, doi. 10.1134/S0040577924060035
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Soliton structures for the (3 + 1)-dimensional Painlevé integrable equation in fluid mediums.
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- Scientific Reports, 2024, v. 11, n. 1, p. 1, doi. 10.1038/s41598-024-62314-6
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New analytic solutions in ƒ(R)-cosmology from Painlevé analysis.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 7, p. 6301, doi. 10.1002/mma.9921
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Jánossy Densities and Darboux Transformations for the Stark and Cylindrical KdV Equations.
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- Communications in Mathematical Physics, 2024, v. 405, n. 5, p. 1, doi. 10.1007/s00220-024-04988-7
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Quantization of Classical Spectral Curves via Topological Recursion.
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- Communications in Mathematical Physics, 2024, v. 405, n. 5, p. 1, doi. 10.1007/s00220-024-04997-6
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Topology and Dynamics of Transcriptome (Dys)Regulation.
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- International Journal of Molecular Sciences, 2024, v. 25, n. 9, p. 4971, doi. 10.3390/ijms25094971
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Numerical algorithm with fifth‐order accuracy for axisymmetric Laplace equation with linear boundary value problem.
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- Numerical Methods for Partial Differential Equations, 2024, v. 40, n. 3, p. 1, doi. 10.1002/num.23079
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On a sixth-order solver for multiple roots of nonlinear equations.
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- European Journal of Pure & Applied Mathematics, 2024, v. 17, n. 2, p. 710, doi. 10.29020/nybg.ejpam.v17i2.5029
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Painlevé analysis, Painlevé–Bäcklund, multiple regular and singular kink solutions of dynamical thermopherotic equation drafting wrinkle propagation.
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- Optical & Quantum Electronics, 2024, v. 56, n. 4, p. 1, doi. 10.1007/s11082-024-06352-4
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- Article
Large Order Behavior Near the AD Point: The Case of 풩 = 2, su(2), Nf = 2.
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- Progress of Theoretical & Experimental Physics: PTEP, 2024, v. 2024, n. 4, p. 1, doi. 10.1093/ptep/ptae034
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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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- Article
Dynamics of Fricke–Painlevé VI Surfaces.
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- Dynamics (2673-8716), 2024, v. 4, n. 1, p. 1, doi. 10.3390/dynamics4010001
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Stabilization results for delayed fifth-order KdV-type equation in a bounded domain.
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- Mathematical Control & Related Fields, 2024, v. 14, n. 1, p. 1, doi. 10.3934/mcrf.2023004
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- Article
Hybrid cubic and hyperbolic b-spline collocation methods for solving fractional Painlevé and Bagley-Torvik equations in the Conformable, Caputo and Caputo-Fabrizio fractional derivatives.
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- Boundary Value Problems, 2024, v. 2024, n. 1, p. 1, doi. 10.1186/s13661-024-01833-7
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- Article
Exact traveling wave solutions of the generalized fifth‐order dispersive equation by the improved Fan subequation method.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 3, p. 1701, doi. 10.1002/mma.9717
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- Article
Integrability and Dynamic Behavior of a Piezoelectro-Magnetic Circular Rod.
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- Mathematics (2227-7390), 2024, v. 12, n. 2, p. 236, doi. 10.3390/math12020236
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- Article
Solutions of Analogs of Time-Dependent Schrödinger Equations Corresponding to a Pair of Hamiltonian Systems in the Hierarchy of Degenerations of an Isomonodromic Garnier System.
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- Differential Equations, 2024, v. 60, n. 1, p. 77, doi. 10.1134/S0012266124010075
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- Article
Accelerating self-modulated nonlinear waves in weakly and strongly magnetized relativistic plasmas.
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- Journal of Plasma Physics, 2024, v. 90, n. 1, p. 1, doi. 10.1017/S0022377824000229
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- Article
Schwarzian derivative, Painlevé XXV–Ermakov equation, and Bäcklund transformations.
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- Mathematische Nachrichten, 2024, v. 297, n. 1, p. 83, doi. 10.1002/mana.202200180
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On the first integrals of the Painlevé classes of equations.
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- Arabian Journal of Mathematics, 2023, v. 12, n. 3, p. 565, doi. 10.1007/s40065-023-00441-0
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On the Monodromy Manifold of q-Painlevé VI and Its Riemann–Hilbert Problem.
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- Communications in Mathematical Physics, 2023, v. 404, n. 1, p. 97, doi. 10.1007/s00220-023-04834-2
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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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Revised Riemann–Hilbert problem for the derivative nonlinear Schrödinger equation: Vanishing boundary condition.
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- Theoretical & Mathematical Physics, 2023, v. 217, n. 1, p. 1595, doi. 10.1134/S0040577923100112
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- Article
Control of Kawahara equation with overdetermination condition: The unbounded cases.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 14, p. 15162, doi. 10.1002/mma.9368
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Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi‐classical Laguerre polynomials and their Hankel determinants.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 14, p. 15270, doi. 10.1002/mma.9377
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- Article
The Defocusing Nonlinear Schrödinger Equation with a Nonzero Background: Painlevé Asymptotics in Two Transition Regions.
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- Communications in Mathematical Physics, 2023, v. 402, n. 3, p. 2879, doi. 10.1007/s00220-023-04787-6
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- Article
On a Fifth-Order Method for Multiple Roots of Nonlinear Equations.
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- Symmetry (20738994), 2023, v. 15, n. 9, p. 1694, doi. 10.3390/sym15091694
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- Article
Computational Algorithm for MRLW equation using B-spline with BFRK scheme.
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- Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2023, v. 27, n. 16, p. 11715, doi. 10.1007/s00500-023-07849-y
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- Article
Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit.
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- Reviews in Mathematical Physics, 2023, v. 35, n. 7, p. 1, doi. 10.1142/S0129055X23300042
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- Article
Solitary waves of coupled nonlinear Schrödinger equations: a generalized method.
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- Optical & Quantum Electronics, 2023, v. 55, n. 7, p. 1, doi. 10.1007/s11082-023-04774-0
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- Article
A supersymmetric second Painlevé hierarchy and bilinearization.
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- Theoretical & Mathematical Physics, 2023, v. 216, n. 1, p. 938, doi. 10.1134/S0040577923070036
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- Article
One-dimensional optimal system and similarity transformations for the 3 + 1 Kudryashov–Sinelshchikov equation.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2023, v. 24, n. 3, p. 831, doi. 10.1515/ijnsns-2020-0219
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- Article
Classification of Hamiltonian Non-Abelian Painlevé Type Systems.
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- Journal of Nonlinear Mathematical Physics, 2023, v. 30, n. 2, p. 646, doi. 10.1007/s44198-022-00099-w
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On existence of meromorphic solutions for nonlinear q-difference equation.
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- ScienceAsia, 2023, v. 49, n. 3, p. 369, doi. 10.2306/scienceasia1513-1874.2023.002
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On Conformable First and Second Painlevé Equations.
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- Palestine Journal of Mathematics, 2023, v. 12, n. 2, p. 30
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An Efficient Analytical Approach to Investigate Fractional Caudrey–Dodd–Gibbon Equations with Non-Singular Kernel Derivatives.
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- Symmetry (20738994), 2023, v. 15, n. 4, p. 850, doi. 10.3390/sym15040850
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- Article
A New Computational Technique for Analytic Treatment of Time-Fractional Nonlinear Equations Arising in Magneto-Acoustic Waves.
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- Mathematical Problems in Engineering, 2023, p. 1, doi. 10.1155/2023/6229486
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- Article
Universality for Multiplicative Statistics of Hermitian Random Matrices and the Integro-Differential Painlevé II Equation.
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- Communications in Mathematical Physics, 2023, v. 397, n. 3, p. 1237, doi. 10.1007/s00220-022-04518-3
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On the monodromy of the deformed cubic oscillator.
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- Mathematische Annalen, 2023, v. 385, n. 1/2, p. 193, doi. 10.1007/s00208-021-02337-w
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- Article
Convergence of Formal Solutions to the Second Member of the Fourth Painlevé Hierarchy in a Neighborhood of Zero.
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- Computational Mathematics & Mathematical Physics, 2023, v. 63, n. 1, p. 86, doi. 10.1134/S0965542523010049
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- Article
Global Asymptotics of the Sixth Painlevé Equation in Okamoto's Space.
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- Forum of Mathematics, Sigma, 2023, v. 11, p. 1, doi. 10.1017/fms.2023.11
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Simple and Efficient Fifth Order Solvers for Systems of Nonlinear Problems.
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- Mathematical Modelling & Analysis, 2023, v. 28, n. 1, p. 1, doi. 10.3846/mma.2023.16244
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On Rational Solutions of Dressing Chains of Even Periodicity.
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- Symmetry (20738994), 2023, v. 15, n. 1, p. 249, doi. 10.3390/sym15010249
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- Article
Novel Exact Solution for the Bidirectional Sixth-Order Sawada–Kotera Equation.
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- Universe (2218-1997), 2023, v. 9, n. 1, p. 55, doi. 10.3390/universe9010055
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- Article
M2-branes and q-Painlevé equations.
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- Letters in Mathematical Physics, 2022, v. 112, n. 6, p. 1, doi. 10.1007/s11005-022-01597-0
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- Article
Similarity Investigation of Thermosolutal Mixed Convection in a Saturated Porous Medium.
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- Mathematical Modelling of Engineering Problems, 2022, v. 9, n. 6, p. 1596, doi. 10.18280/mmep.090620
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- Article
Fricke Topological Qubits.
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- Quantum Reports, 2022, v. 4, n. 4, p. 523, doi. 10.3390/quantum4040037
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- Article
Modal Shifted Fifth-Kind Chebyshev Tau Integral Approach for Solving Heat Conduction Equation.
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- Fractal & Fractional, 2022, v. 6, n. 11, p. 619, doi. 10.3390/fractalfract6110619
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- Article
The possible solutions for the two KdV-type equations using a semi-analytical Kamal-iteration method.
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- European Journal of Pure & Applied Mathematics, 2022, v. 15, n. 4, p. 1917, doi. 10.29020/nybg.ejpam.v15i4.4599
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- Article