Vakulenko Sergei Avgustovich

Publications in Math-Net.Ru

1. Destruction of dissipative structures under random actions
   
   TMF, 165:1 (2010),  177–192
2. Nonlinear Ritz method and the motion of defects
   
   TMF, 155:2 (2008),  202–214
3. Instability, complexity, and evolution
   
   Zap. Nauchn. Sem. POMI, 360 (2008),  31–69
4. Asymptotic Behavior of Solutions of a Strongly Nonlinear Model of a Crystal Lattice
   
   TMF, 143:3 (2005),  357–367
5. Evolution in random environment and structural instability
   
   Zap. Nauchn. Sem. POMI, 325 (2005),  28–60
6. Dissipative and Hamiltonian Systems with Chaotic Behavior: An Analytic Approach
   
   TMF, 130:2 (2002),  287–300
7. Propagation and scattering of kinks in inhomogeneous nonlinear media
   
   TMF, 112:3 (1997),  384–394
8. Connected kink states in nonlinear inhomogeneous media
   
   TMF, 107:1 (1996),  115–128
9. Asymptotic solutions of the Hartree equation that are concentrated, as $h\to 0$, in a small neighborhood of a curve
   
   Dokl. Akad. Nauk, 345:6 (1995),  743–745
10. Verification of asymptotic solutions for one-dimensional nonlinear parabolic equations
    
    Mat. Zametki, 52:3 (1992),  10–16
11. Existence of chemical waves with a complex motion of the front
    
    Zh. Vychisl. Mat. Mat. Fiz., 31:5 (1991),  735–744
12. Dynamic Whithan principle and its ground for parabolic equations
    
    Zap. Nauchn. Sem. LOMI, 179 (1989),  46–51
13. Stationary wave baems in strongly nonlinear three-dimensional and inhomogeneous medium
    
    Zap. Nauchn. Sem. LOMI, 148 (1985),  52–60
14. Asymptotic integration of some class of weakly nonlinear Hamilton systems
    
    Zap. Nauchn. Sem. LOMI, 148 (1985),  42–51
15. Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems
    
    Zap. Nauchn. Sem. LOMI, 140 (1984),  36–40
16. Waves in the linear inhomogeneous medium concentrated in the vicinity of a given curve
    
    Dokl. Akad. Nauk SSSR, 262:3 (1982),  587–591
17. Justification of asymptotic formula for the solutions of perturbed Fock–Klein–Gordon equation
    
    Zap. Nauchn. Sem. LOMI, 104 (1981),  84–92
18. Nonlinear longitudinal waves in inhomogeneous rods
    
    Zap. Nauchn. Sem. LOMI, 99 (1980),  64–73
19. The influence of perturbation upons solitons of some nonlinear equations
    
    Zap. Nauchn. Sem. LOMI, 89 (1979),  91–96
20. The solutions of nonlinear equations concentrated near the curves on a plane
    
    Zap. Nauchn. Sem. LOMI, 89 (1979),  84–90