Bikbaev Ramil' Faritovich

Publications in Math-Net.Ru

1. Landau–Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions
   
   TMF, 178:2 (2014),  163–219
2. Nondegeneracy of amplitude-frequency modulation for finite-gap solutions of integrable nonlinear equations
   
   Mat. Zametki, 59:1 (1996),  53–61
3. Complex Whitham deformations in the problems with “integrable instability”
   
   TMF, 104:3 (1995),  393–419
4. Complex Whitham-deformations in problems with “integrable instability”
   
   Zap. Nauchn. Sem. POMI, 224 (1995),  87–121
5. Modulational instability stabilization via complex Whitham deformations: nonlinear Schrödinger equation
   
   Zap. Nauchn. Sem. POMI, 215 (1994),  65–76
6. On algebraic-geometrical parametrization of the constant mean curvature tori
   
   Zap. Nauchn. Sem. POMI, 215 (1994),  50–64
7. On the local coordinates on the manifold of finite-gap solutions of the KdV equation
   
   Zap. Nauchn. Sem. POMI, 210 (1994),  47–56
8. Algebro-geometric inequalities generated by perturbation theory: the nonlinear Schrödinger equation
   
   Algebra i Analiz, 5:4 (1993),  67–82
9. Shock waves in one-dimensional models with cubic nonlinearity
   
   TMF, 97:2 (1993),  191–212
10. “Domain walls” in the isotropic Heisenberg model
    
    TMF, 95:1 (1993),  96–100
11. Finite-gap solutions of two-dimensional isotropic ferromagnet with fixed boundary conditions
    
    TMF, 94:1 (1993),  165–172
12. A periodic boundary value problem for the sine-Gordon equation, its small Hamiltonian perturbations, and KAM-deformations of finite-gap tori
    
    Algebra i Analiz, 4:3 (1992),  42–78
13. Algebrogeometric solutions of the nonlinear boundary problem on a segment for the sine-Gordon equation
    
    Mat. Zametki, 52:4 (1992),  19–28
14. Integrable boundary-value problems and nonlinear Fourier harmonics
    
    Zap. Nauchn. Sem. POMI, 199 (1992),  43–50
15. The influence of the viscosity on the structure of the MKdV shock waves
    
    Zap. Nauchn. Sem. POMI, 199 (1992),  37–42
16. Finite-gap attractors and transition processes of the shock wave type in integrable systems
    
    Zap. Nauchn. Sem. POMI, 199 (1992),  25–36
17. An inhomogeneous boundary value problem on the semi-axis and on a segment for the sine-Gordon equation
    
    Algebra i Analiz, 3:4 (1991),  78–92
18. Cauchy problem for waves on shallow water
    
    TMF, 86:3 (1991),  474–478
19. Whitham restructuring and time asymptotics of the solution of a nonlinear Schrödinger equation with finite-gap behavior as $x\to\pm\infty$
    
    Algebra i Analiz, 2:3 (1990),  131–143
20. Finite-gap solutions of boundary value problems for integrable equations
    
    Mat. Zametki, 48:2 (1990),  10–18
21. Hiperbolic Whitham systems and integrable equations
    
    Zap. Nauchn. Sem. LOMI, 180 (1990),  23–35
22. Korteweg–de Vries equation with finite-gap boundary conditions, and the Whitham deformations of Riemann surfaces
    
    Funktsional. Anal. i Prilozhen., 23:4 (1989),  1–10
23. A new class of finite-gap solutions of the Landau-Lifshits $XXZ$ equation
    
    Mat. Zametki, 46:1 (1989),  112–114
24. Algebrogeometric solutions of a boundary-value problem for the nonlinear Schrödinger equation
    
    Mat. Zametki, 45:5 (1989),  3–9
25. Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type
    
    TMF, 81:1 (1989),  3–11
26. Distribution of magnetization in an easy-plane ferromagnet
    
    TMF, 80:3 (1989),  470–473
27. Asymptotics at $t\to\infty$ of the solution to the Cauchy problem for the Korteweg–de Vries equation in the class of potentials with finite-gap behavior as $x\to\pm\infty$
    
    TMF, 78:3 (1989),  345–356
28. On non-linear diffraction in defocusing medium
    
    Zap. Nauchn. Sem. LOMI, 179 (1989),  23–31
29. Asymptotic behavior as $t\to\infty$ of the solution to the Cauchy problem for the Landau–Lifshitz equation
    
    TMF, 77:2 (1988),  163–170
30. Asymptotics at $t\to\infty$ of the solution of the Cauchy problem for the Landau–Lifshitz equation
    
    TMF, 76:1 (1988),  3–17
31. Finite-gap solutions of the massive Thirring model
    
    TMF, 63:3 (1985),  377–387
32. Finite-zone integration of the Landau–Lifshits equation
    
    Dokl. Akad. Nauk SSSR, 272:6 (1983),  1293–1298