S. Yu. Dobrokhotov, A. A. Tolchennikov, “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; Math. Notes, 116:3 (2024), 458–464
2.
I. A. Bogaevsky, S. Yu. Dobrokhotov, A. A. Tolchennikov, “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; Theoret. and Math. Phys., 218:1 (2024), 19–40
S. Yu. Dobrokhotov, S. B. Levin, A. A. Tolchennikov, “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; Russian Math. Surveys, 78:4 (2023), 788–790
2021
4.
V. L. Chernyshev, D. S. Minenkov, A. A. Tolchennikov, “The number of endpoints of a random walk on a semi-infinite metric path graph”, TMF, 207:1 (2021), 104–111; Theoret. and Math. Phys., 207:1 (2021), 487–493
S. Yu. Dobrokhotov, M. V. Klimenko, I. A. Nosikov, A. A. Tolchennikov, “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; Comput. Math. Math. Phys., 60:8 (2020), 1392–1401
A. A. Tolchennikov, “Behavior of the solution of the Klein–Gordon equation with a localized initial condition”, TMF, 199:2 (2019), 330–340; Theoret. and Math. Phys., 199:2 (2019), 761–770
A. A. Tolchennikov, “Simple exact solutions and asymptotic localized solutions of the two-dimensional massless Dirac equation for graphene”, TMF, 196:1 (2018), 64–69; Theoret. and Math. Phys., 196:1 (2018), 996–1001
S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. A. Tolchennikov, “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; Math. Notes, 101:5 (2017), 802–814
Vsevolod L. Chernyshev, Anton A. Tolchennikov, “The Second Term in the Asymptotics for the Number of Points Moving Along a Metric Graph”, Regul. Chaotic Dyn., 22:8 (2017), 937–948
S. A. Sergeev, A. A. Tolchennikov, “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; Math. Notes, 100:6 (2016), 852–861
Vsevolod L. Chernyshev, Anton A. Tolchennikov, Andrei I. Shafarevich, “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
A. A. Tolchennikov, V. L. Chernyshev, A. I. Shafarevich, “Asymptotic properties and classical dynamical systems in quantum problems on singular spaces”, Nelin. Dinam., 6:3 (2010), 623–638
A. A. Tolchennikov, “The kernel of Laplace-Beltrami operators
with zero-radius potential or on decorated graphs”, Mat. Sb., 199:7 (2008), 123–138; Sb. Math., 199:7 (2008), 1071–1087
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