Tolchennikov Anton Aleksandrovich

Publications in Math-Net.Ru

1. The effect of changing the multiplicity of terms in the Cauchy problem for the Dirac equation in graphene with a constant electric field and a localized initial condition.
   
   TMF, 226:2 (2026),  256–276
2. Asymptotics of the counting function of lengths corresponding to classes of equivalent routes for an infinite binary metric tree
   
   Diskr. Mat., 37:4 (2025),  3–15
3. Asymptotic solution of a system of Maxwell equations with a time-harmonic spatially localized electromagnetic field source
   
   Mat. Zametki, 118:6 (2025),  963–966
4. Global uniform asymptotics in the form of Airy functions for the problem of scattering on a repulsive Coulomb potential, and Keplerian trajectories
   
   Mat. Sb., 216:8 (2025),  112–128
5. Asymptotics of long waves generated by time-harmonic spatially localized sources in basins with gently sloping shores
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:5 (2025),  625–640
6. The Jacobi–Maupertuis principle and Fermat variational principle in the problem of short-wave asymptotics in the solution of the Helmholtz equation with a localized source
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:4 (2025),  446–459
7. Uniform formulas for the asymptotic solution near the leading front for Maxwell's equations with temporal dispersion and localized initial data
   
   Mat. Zametki, 116:3 (2024),  388–395
8. Arnold Lagrangian singularity in the asymptotics of the solution of a model two-dimensional Helmholtz equation with a localized right-hand side
   
   TMF, 218:1 (2024),  23–47
9. Boundary value problem of calculating ray characteristics of ocean waves reflected from coastline
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:3 (2024),  534–546
10. Keplerian orbits and global asymptotic solution in the form of an Airy function for the scattering problem on a repulsive Coulomb potential
    
    Uspekhi Mat. Nauk, 78:4(472) (2023),  205–206
11. The number of endpoints of a random walk on a semi-infinite metric path graph
    
    TMF, 207:1 (2021),  104–111
12. Variational method for computing ray trajectories and fronts of tsunami waves generated by a localized source
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020),  1439–1448
13. Behavior of the solution of the Klein–Gordon equation with a localized initial condition
    
    TMF, 199:2 (2019),  330–340
14. Simple exact solutions and asymptotic localized solutions of the two-dimensional massless Dirac equation for graphene
    
    TMF, 196:1 (2018),  64–69
15. Uniform Asymptotics of the Boundary Values of the Solution in a Linear Problem on the Run-Up of Waves on a Shallow Beach
    
    Mat. Zametki, 101:5 (2017),  700–715
16. The Second Term in the Asymptotics for the Number of Points Moving Along a Metric Graph
    
    Regul. Chaotic Dyn., 22:8 (2017),  937–948
17. Creation Operators in the Problem of Localized Solutions of the Linearized Shallow Water Equations with Regular and Singular Characteristics
    
    Mat. Zametki, 100:6 (2016),  911–922
18. Behavior of Quasi-particles on Hybrid Spaces. Relations to the Geometry of Geodesics and to the Problems of Analytic Number Theory
    
    Regul. Chaotic Dyn., 21:5 (2016),  531–537
19. Asymptotic properties and classical dynamical systems in quantum problems on singular spaces
    
    Nelin. Dinam., 6:3 (2010),  623–638
20. The kernel of Laplace-Beltrami operators with zero-radius potential or on decorated graphs
    
    Mat. Sb., 199:7 (2008),  123–138