Borisov Aleksandr Borisovich

Publications in Math-Net.Ru

1. Integration of the two-dimensional Heisenberg model by methods of differential geometry
   
   TMF, 216:2 (2023),  302–314
2. Dynamics of the 3D magnetic structures for the Heisenberg model
   
   TMF, 210:1 (2022),  115–127
3. Three-dimensional vortices in the Heisenberg model
   
   TMF, 208:3 (2021),  471–480
4. On integrability of $O(3)$–model
   
   Ufimsk. Mat. Zh., 13:2 (2021),  6–10
5. Localized structures in magnetic systems without the center of inversion
   
   UFN, 190:3 (2020),  291–312
6. Charge order–superfluidity transition in a two-dimensional system of hard-core bosons and emerging domain structures
   
   Fizika Tverdogo Tela, 59:11 (2017),  2107–2112
7. Spiral structures in helicoidal magnets
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 96:8 (2012),  572–575
8. Dynamical toroidal Hopfions in a ferromagnet with easy-axis anisotropy
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 90:7 (2009),  593–596
9. Stationary precession topological solitons with nonzero Hopf invariant in a uniaxial ferromagnet
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 88:4 (2008),  303–307
10. Stable nonlinear excitations of the spiral type in 2D magnetic models
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 80:2 (2004),  112–117
11. Differential-geometrical method and new class of exact solutions of $\vec n$ -field equations
    
    Mat. Fiz. Anal. Geom., 10:3 (2003),  326–334
12. Three-dimensional spiral structures in a ferromagnet
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 76:2 (2002),  95–98
13. Tzitzéica Equation and Proliferation of Nonlinear Integrable Equations
    
    TMF, 131:1 (2002),  126–134
14. Spiral vortices in ferromagnets
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 73:5 (2001),  279–282
15. Bдcklund Transformation and Dressing Chains for the Landau–Lifshitz Equation
    
    TMF, 128:2 (2001),  226–235
16. Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems
    
    TMF, 124:2 (2000),  279–291
17. Reflectionless sine-Gordon potentials with an infinite spectrum
    
    TMF, 118:3 (1999),  337–346
18. The dressing chain of discrete symmetries and proliferation of nonlinear equations
    
    TMF, 115:2 (1998),  199–214
19. Spiral solitons in a ferromagnet
    
    Fizika Tverdogo Tela, 33:8 (1991),  2316–2319
20. Solitons in the modulated magnetic structure of $\mathrm{MnOOH}$ and of isomorphic compounds
    
    Fizika Tverdogo Tela, 32:1 (1990),  212–219
21. New types of two-dimensional vortex-like states in magnets
    
    Fizika Tverdogo Tela, 31:5 (1989),  140–147
22. The direct and inverse scattering problem for the Landau–Lifshits equation
    
    Dokl. Akad. Nauk SSSR, 288:6 (1986),  1339–1342
23. Nonlinear excitation in spiral magnetic structures
    
    Dokl. Akad. Nauk SSSR, 283:4 (1985),  859–861
24. Many-soliton solutions of asymmetric chiral $SU(2)$ and $SL(2,R)$ theories $(d=1)$
    
    TMF, 54:2 (1983),  246–257
25. A set of routines for the solution of problems of nonlinear optics
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  756–758
26. Unitary representations of the algebra of the general covariance group
    
    TMF, 33:3 (1977),  427–430
27. Theory of dynamical affine and conformal symmetries as the theory of the gravitational field
    
    TMF, 21:3 (1974),  329–342


28. Mikhail Vissarionovich Sadovskii (on his 70th birthday)
    
    UFN, 188:2 (2018),  231–232
29. Alexey Borisovich Shabat (on his 80's anniversary)
    
    Vladikavkaz. Mat. Zh., 19:3 (2017),  83–85
30. Shabat Aleksei Borisovich (on his 75th birthday)
    
    Vladikavkaz. Mat. Zh., 14:2 (2012),  71–73