Anikin Anatolii Yur'evich

Publications in Math-Net.Ru

1. Asymptotics of the Helmholtz equation solutions in a two-layer medium with a localized right-hand side
   
   TMF, 216:1 (2023),  148–168
2. Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides
   
   TMF, 214:1 (2023),  3–29
3. On Expansions in the Exact and Asymptotic Eigenfunctions of the One-Dimensional Schrödinger Operator
   
   Mat. Zametki, 112:5 (2022),  644–664
4. Constructive Semiclassical Asymptotics of Bound States of Graphene in a Constant Magnetic Field with Small Mass
   
   Mat. Zametki, 111:2 (2022),  163–187
5. Librations with large periods in tunneling: Efficient calculation and applications to trigonal dimers
   
   TMF, 213:1 (2022),  163–190
6. Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for two-dimensional standing coastal waves
   
   Algebra i Analiz, 33:2 (2021),  5–34
7. Asymptotics of One-Dimensional Linear Standing Water Waves with Dispersion and Degeneracy on the Boundary
   
   Mat. Zametki, 107:5 (2020),  774–779
8. Airy function and transition between the semiclassical and harmonic oscillator approximations for one-dimensional bound states
   
   TMF, 204:2 (2020),  171–180
9. Semiclassical asymptotic behavior of the lower spectral bands of the Schrödinger operator with a trigonal-symmetric periodic potential
   
   TMF, 202:2 (2020),  264–277
10. Asymptotic eigenfunctions of the operator $\nabla D(x)\nabla$ defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls
    
    Differ. Uravn., 55:5 (2019),  660–672
11. On the Run-Up for Two-Dimensional Shallow Water in the Linear Approximation
    
    Mat. Zametki, 106:2 (2019),  163–173
12. Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the $\nabla D(x)\nabla$ Operator in Dimension 2 and Trapped Coastal Waves
    
    Mat. Zametki, 105:5 (2019),  792–797
13. Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems
    
    TMF, 201:3 (2019),  382–414
14. Asymptotic solutions of the wave equation with degenerate velocity and with right-hand side localized in space and time
    
    Zh. Mat. Fiz. Anal. Geom., 14:4 (2018),  393–405
15. Simple Asymptotics for a Generalized Wave Equation with Degenerating Velocity and Their Applications in the Linear Long Wave Run-Up Problem
    
    Mat. Zametki, 104:4 (2018),  483–504
16. Gausian packets and beams with focal points in vector problems of plasma physics
    
    TMF, 196:1 (2018),  135–160
17. Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics
    
    TMF, 193:3 (2017),  409–433
18. Approximation of Solutions of the Two-Dimensional Wave Equation with Variable Velocity and Localized Right-Hand Side Using Some “Simple” Solutions
    
    Mat. Zametki, 100:6 (2016),  825–837
19. Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers
    
    TMF, 188:2 (2016),  288–317
20. Averaging and trajectories of a Hamiltonian system appearing in graphene placed in a strong magnetic field and a periodic potential
    
    Fundam. Prikl. Mat., 20:2 (2015),  5–20
21. Librations and ground-state splitting in a multidimensional double-well problem
    
    TMF, 175:2 (2013),  193–205
22. Quantum Birkhoff normal forms
    
    TMF, 160:3 (2009),  487–506


23. Normal Form of a Quantum Hamiltonian with One and a Half Degrees of Freedom Near a Hyperbolic Fixed Point
    
    Regul. Chaotic Dyn., 13:5 (2008),  377–402