Lipovskii Vladislav Davydovich

Publications in Math-Net.Ru

1. Nonlinear $\sigma$-model in a curved space, gauge equivalence, and exact solutions of $(2+0)$-dimensional integrable equations
   
   TMF, 115:3 (1998),  323–348
2. Boundary-value problem for the two-dimensional stationary Heisenberg magnet with non-trivial background. II
   
   TMF, 104:3 (1995),  513–529
3. Inverse scattering transform for Zakharov–Manakov's system
   
   Zap. Nauchn. Sem. POMI, 209 (1994),  150–167
4. Boundary-value problem for two-dimensional stationary Heisenberg magnet with nontrivial background. I
   
   TMF, 90:2 (1992),  259–272
5. Exact solutions of nonlinear sigma-model in curved space and the theory of media with variable saturation magnetization
   
   Zap. Nauchn. Sem. POMI, 199 (1992),  71–80
6. $2+1$ Toda chain. II. Hamiltonian formalism
   
   TMF, 84:1 (1990),  64–78
7. Boundary-value problem for two-dimensional elliptic sine-Gordon equation and it's application to the theory of stationary Josephson effect
   
   Zap. Nauchn. Sem. LOMI, 180 (1990),  53–62
8. Example of gauge equivalence of multidimensional integrable equations
   
   Funktsional. Anal. i Prilozhen., 23:3 (1989),  65–66
9. $2+1$ Toda chain. I. Inverse scattering method
   
   TMF, 75:3 (1988),  323–339
10. Scattering data for the nonstationary Dirac equation
    
    Zap. Nauchn. Sem. LOMI, 164 (1987),  170–175
11. Hamiltonian interpretation of the method of the inverse problem for the Davey–Stewartson equation
    
    Zap. Nauchn. Sem. LOMI, 161 (1987),  54–71
12. The inverse problem method for the Johnson equation-I (Kadomtsev–Petviashvili cylindrical equation)
    
    Dokl. Akad. Nauk SSSR, 286:2 (1986),  334–338
13. Hamiltonian structure of the Kadomtsev–Petviashvili–II equation in the class of decreasing Cauchy data
    
    Funktsional. Anal. i Prilozhen., 20:4 (1986),  35–45
14. On the connection of Kadomtaev–Petviashvili equation and Johnson equation
    
    Zap. Nauchn. Sem. LOMI, 150 (1986),  70–75


15. Corrigenda: “Boundary-value problem for the two-dimensional heisenberg magnetic with nontrivial background. II” Theor. Math. Phyz., Vol. 104, № 3, pp. 1166–1177 (1995)
    
    TMF, 106:1 (1996),  175