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Frames of solutions and discrete analysis of pseudo‐differential equations.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 10, p. 8042, doi. 10.1002/mma.8159
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- Article
The particle paths of hyperbolic conservation laws.
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- Mathematical Models & Methods in Applied Sciences, 2024, v. 34, n. 7, p. 1205, doi. 10.1142/S0218202524500209
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- Article
Riemann problem for multiply connected domain in Besov spaces.
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- Boundary Value Problems, 2024, v. 2024, n. 1, p. 1, doi. 10.1186/s13661-024-01883-x
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- Article
Inverse scattering transform for a nonlinear lattice equation under non-vanishing boundary conditions.
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- Optical & Quantum Electronics, 2024, v. 56, n. 6, p. 1, doi. 10.1007/s11082-024-06886-7
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The Solvability and Explicit Solutions of Singular Integral–Differential Equations with Reflection.
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- Abstract & Applied Analysis, 2024, v. 2024, p. 1, doi. 10.1155/2024/5523649
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- Article
Multi-soliton solutions of the three-level coupled Schrödinger Maxwell-Bloch equations via the Riemann-Hilbert approach.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 7, p. 5560, doi. 10.1002/mma.9879
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- Article
Joint Hybrid Beamforming Design for Millimeter Wave Amplify-and-Forward Relay Communication Systems.
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- Applied Sciences (2076-3417), 2024, v. 14, n. 9, p. 3713, doi. 10.3390/app14093713
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- Article
Inverse scattering transform for the nonlocal Gerdjikov–Ivanov equation with simple and double poles.
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- Nonlinear Dynamics, 2024, v. 112, n. 8, p. 6517, doi. 10.1007/s11071-024-09351-y
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- Article
RIEMANN-HILBERT HIERARCHIES FOR HARD EDGE PLANAR ORTHOGONAL POLYNOMIALS.
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- American Journal of Mathematics, 2024, v. 146, n. 2, p. 371, doi. 10.1353/ajm.2024.a923237
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- Article
Boundary Value Problems for the Perturbed Dirac Equation.
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- Axioms (2075-1680), 2024, v. 13, n. 4, p. 238, doi. 10.3390/axioms13040238
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- Article
Long-time asymptotics for the coupled modified complex short-pulse equation.
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- Communications on Pure & Applied Analysis, 2024, v. 23, n. 4, p. 1, doi. 10.3934/cpaa.2024023
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- Article
Why Stable Finite-Difference Schemes Can Converge to Different Solutions: Analysis for the Generalized Hopf Equation.
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- Computation, 2024, v. 12, n. 4, p. 76, doi. 10.3390/computation12040076
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- Article
A novel coupled Euler–Lagrange method for high resolution shock and discontinuities capturing.
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- International Journal for Numerical Methods in Fluids, 2024, v. 96, n. 4, p. 510, doi. 10.1002/fld.5255
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- Article
Combining a Central Scheme with the Subtraction Method for Shallow Water Equations.
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- International Journal of Computational Methods, 2024, v. 21, n. 3, p. 1, doi. 10.1142/S0219876223500354
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Introducing Calculus Students to Riemann Products.
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- MathAMATYC Educator, 2024, v. 15, n. 3, p. 24
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- Article
Nonlinear stability of viscous shock profiles for a hyperbolic system with Cattaneo's law in one‐dimensional half space.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 6, p. 5207, doi. 10.1002/mma.9862
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On singular limits of finite Hilbert transform operators on multi‐intervals.
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- Mathematische Nachrichten, 2024, v. 297, n. 4, p. 1328, doi. 10.1002/mana.202300185
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- Article
Efficient non-iterative multi-point method for solving the Riemann problem.
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- Nonlinear Dynamics, 2024, v. 112, n. 7, p. 5439, doi. 10.1007/s11071-023-09229-5
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- Article
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification.
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- Theoretical & Mathematical Physics, 2024, v. 219, n. 1, p. 598, doi. 10.1134/S004057792404007X
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- Article
The Ignition Problem for Chaplygin Gas System.
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- Engineering Letters, 2024, v. 32, n. 3, p. 588
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- Article
The Soliton Solutions for Nonlocal Multi-Component Higher-Order Gerdjikov–Ivanov Equation via Riemann–Hilbert Problem.
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- Fractal & Fractional, 2024, v. 8, n. 3, p. 177, doi. 10.3390/fractalfract8030177
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- Article
Riemann problem solutions for a balance law under Dirac-Delta source with a discontinuous flux.
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- Journal of Hyperbolic Differential Equations, 2024, v. 21, n. 1, p. 1, doi. 10.1142/S0219891624500012
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- Article
Delta‐shock for a class of systems of conservation laws of the Keyfitz–Kranzer type.
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- Mathematische Nachrichten, 2024, v. 297, n. 3, p. 1042, doi. 10.1002/mana.202300053
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The Riemann–Hilbert approach for the Chen–Lee–Liu equation and collisions of multiple solitons.
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- Nonlinear Dynamics, 2024, v. 112, n. 5, p. 3737, doi. 10.1007/s11071-023-09196-x
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Multi-soliton solutions for the positive coherently coupled NLS in the Kerr media via the Riemann–Hilbert approach.
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- Nonlinear Dynamics, 2024, v. 112, n. 5, p. 3771, doi. 10.1007/s11071-023-09214-y
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- Article
Influence of Concentrated Forces on an Interface Inclusion under the Conditions of Smooth Contact in the Inhomogeneous Transversely Isotropic Space.
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- Journal of Mathematical Sciences, 2024, v. 279, n. 2, p. 197, doi. 10.1007/s10958-024-07005-3
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- Article
Controlling the Focusing Ability of the Parabolic Graphene Reflector in Free Space at Microwave Frequencies.
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- Applied Sciences (2076-3417), 2024, v. 14, n. 4, p. 1520, doi. 10.3390/app14041520
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- Article
A partially debonded circular elastic inhomogeneity with an incompressible liquid inclusion occupying the debonded section.
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- Acta Mechanica, 2024, v. 235, n. 2, p. 897, doi. 10.1007/s00707-023-03789-8
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- Article
Asymptotic limits of Riemann solutions to a novel second-order continuous macroscopic traffic flow model.
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- Computational & Applied Mathematics, 2024, v. 43, n. 1, p. 1, doi. 10.1007/s40314-023-02515-3
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- Article
ADER discontinuous Galerkin Material Point Method.
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- International Journal for Numerical Methods in Engineering, 2024, v. 125, n. 1, p. 1, doi. 10.1002/nme.7365
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- Article
On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 1, p. 27, doi. 10.1002/mma.9638
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- Article
Step-like initial value and Whitham modulation theory of the Fokas–Lenells equation.
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- Nonlinear Dynamics, 2024, v. 112, n. 2, p. 1365, doi. 10.1007/s11071-023-09156-5
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- Article
Delta-Waves for a Class of Hyperbolic Systems of Conservation Laws.
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- Southeast Asian Bulletin of Mathematics, 2024, v. 48, n. 1, p. 33
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- Article
Delta-shock for the Chaplygin gas Euler equations with source terms.
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- Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2024, v. 79, n. 1, p. 31, doi. 10.1515/zna-2023-0181
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A generalized Sasa–Satsuma equation on the half line: From Dirichlet to Neumann map.
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- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2023, v. 37, n. 30, p. 1, doi. 10.1142/S0217979223502636
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Concentration Phenomena of Riemann Solutions to a Logarithmic Perturbed Model.
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- Acta Applicandae Mathematicae, 2023, v. 188, p. 1, doi. 10.1007/s10440-023-00615-0
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The Formation and the Evolution of Large-Scale Vortex Structures in Stellar Accetion Disks.
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- Astronomy Reports, 2023, v. 67, n. 12, p. 1286, doi. 10.1134/S1063772923120053
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- Article
Perturbed Initial Value Problem for Chaplygin System with Combustion.
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- IAENG International Journal of Applied Mathematics, 2023, v. 53, n. 4, p. 1437
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The modified Rusanov scheme for solving the phonon-Bose model.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2023, v. 24, n. 8, p. 2853, doi. 10.1515/ijnsns-2021-0305
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Delta-shock for a class of strictly hyperbolic systems of conservation laws.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2023, v. 24, n. 8, p. 2865, doi. 10.1515/ijnsns-2021-0299
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- Article
Double shock solution for three-dimensional irrotational isentropic flow.
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- Journal of Hyperbolic Differential Equations, 2023, v. 20, n. 4, p. 835, doi. 10.1142/S0219891623500236
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- Article
Multi-Soliton Solutions for the Nonlocal Kundu-Nonlinear Schrödinger Equation with Step-Like Initial Data.
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- Journal of Nonlinear Mathematical Physics, 2023, v. 30, n. 4, p. 1661, doi. 10.1007/s44198-023-00149-x
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- Article
Long‐time asymptotics to the defocusing generalized nonlinear Schrödinger equation with the decaying initial value problem.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 18, p. 18706, doi. 10.1002/mma.9587
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- Article
CONCAVITY PROPERTY OF MINIMAL $L^{2}$ INTEGRALS WITH LEBESGUE MEASURABLE GAIN.
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- Nagoya Mathematical Journal, 2023, v. 252, p. 842, doi. 10.1017/nmj.2023.12
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Critical Measures on Higher Genus Riemann Surfaces.
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- Communications in Mathematical Physics, 2023, v. 404, n. 1, p. 51, doi. 10.1007/s00220-023-04832-4
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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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Exact N-soliton solutions and dynamics of two types of matrix nonlinear Schrödinger equation.
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- Nonlinear Dynamics, 2023, v. 111, n. 22, p. 21191, doi. 10.1007/s11071-023-08903-y
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- Article
Riemann problem for a 2×2 hyperbolic system with time-gradually-degenerate damping.
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- Boundary Value Problems, 2023, v. 2023, n. 1, p. 1, doi. 10.1186/s13661-023-01798-z
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- Article
Numerical Simulation of Constrained Flows through Porous Media Employing Glimm's Scheme.
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- Axioms (2075-1680), 2023, v. 12, n. 11, p. 1023, doi. 10.3390/axioms12111023
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- Article
Numerical coupling of 0D and 1D models in networks of vessels including transonic flow conditions. Application to short‐term transient and stationary hemodynamic simulation of postural changes.
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- International Journal for Numerical Methods in Biomedical Engineering, 2023, v. 39, n. 11, p. 1, doi. 10.1002/cnm.3751
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- Article