Fushchych Wilhelm Il'ich

Publications in Math-Net.Ru

1. Reduction of the self-dual Yang–Mills equations on subgroups of the extended Poincaré group
   
   TMF, 110:3 (1997),  416–432
2. Higher symmetries of the Schrödinger equation
   
   TMF, 91:2 (1992),  268–278
3. Non-lie symmetry of Galileo-invariant equation for a particle with spin $s=1/2$
   
   TMF, 89:3 (1991),  413–419
4. Non-Lie integrals of the motion for particles of arbitrary spin and for systems of interacting particles
   
   TMF, 88:3 (1991),  406–415
5. Reductions and exact solutions of nonlinear multidimensional Schrödinger equations
   
   TMF, 87:2 (1991),  220–234
6. New systems and conservation laws of equations for elastic waves
   
   Dokl. Akad. Nauk SSSR, 304:2 (1989),  333–335
7. Symmetric properties of complex-valued nonlinear wave equations
   
   Dokl. Akad. Nauk SSSR, 298:2 (1988),  347–351
8. Reductions and exact solutions of a nonlinear Dirac equation
   
   TMF, 72:1 (1987),  35–44
9. Nonlinear Galilei-invariant generalization of Lamé equations
   
   Dokl. Akad. Nauk SSSR, 287:2 (1986),  320–323
10. Symmetry, the integral of motion and some particular solutions of the three-dimensional three-body problem
    
    Dokl. Akad. Nauk SSSR, 280:4 (1985),  799–804
11. Symmetry of nonlinear electrodynamic equations
    
    TMF, 64:1 (1985),  41–50
12. Some exact solutions of the multidimensional nonlinear Euler–Lagrange equation
    
    Dokl. Akad. Nauk SSSR, 278:4 (1984),  847–851
13. Symmetry and some exact solutions of the multidimensional Monge–Ampère equation
    
    Dokl. Akad. Nauk SSSR, 273:3 (1983),  543–546
14. On invariant solutions of the nonlinear Dirac equation
    
    Dokl. Akad. Nauk SSSR, 269:1 (1983),  88–92
15. On the maximal invariance group and the general solution of the one- dimensional equations of gas dynamics
    
    Dokl. Akad. Nauk SSSR, 268:5 (1983),  1102–1104
16. Linear and nonlinear systems of differential equations invariant with respect to the Schrödinger group
    
    TMF, 56:3 (1983),  387–394
17. On exact solutions of the Born–Infeld equation
    
    Dokl. Akad. Nauk SSSR, 263:3 (1982),  582–586
18. On the additional invariance of the equations of motion for vector fields
    
    Dokl. Akad. Nauk SSSR, 257:5 (1981),  1105–1109
19. Equations of motion for particles of arbitrary spin invariant under the Galileo group
    
    TMF, 44:1 (1980),  34–46
20. On a new method of the investigation of group properties of the mathematical physic equations
    
    Dokl. Akad. Nauk SSSR, 246:4 (1979),  846–850
21. Invariance group of quasirelativistic equation of motion
    
    Dokl. Akad. Nauk SSSR, 238:1 (1978),  46–49
22. Poincaré invariant differential equations for particles of arbitrary spin
    
    TMF, 34:3 (1978),  319–333
23. On the invariance groups of one class of the enumerable system of the first-order partial differential equations
    
    Dokl. Akad. Nauk SSSR, 235:5 (1977),  1056–1059
24. On a new invariance algebra of the free Schrödinger equation
    
    Dokl. Akad. Nauk SSSR, 232:4 (1977),  800–801
25. On the complementary invariance of Klein–Gordon–Fock equation
    
    Dokl. Akad. Nauk SSSR, 230:3 (1976),  570–572
26. Additional invariance of the Kemmer–Duffin and Rarita–Schwinger equations
    
    TMF, 29:1 (1976),  82–93
27. Reduction of irreducible unitary representations of generalized Poincaré groups with respect to their subgroups
    
    TMF, 26:2 (1976),  206–220
28. On $PTC$-noninvariant Lagrangians
    
    TMF, 9:1 (1971),  91–93
29. On relativistic equations of motion without “redundant” components
    
    TMF, 8:2 (1971),  192–205
30. Additional invariance of relativistic equations of motion
    
    TMF, 7:1 (1971),  3–12
31. Equations of motion invariant under the group $\mathscr{P}(1,n)$. II
    
    TMF, 6:3 (1971),  348–363
32. Representations of the complete inhomogeneous de Sitter group and equations in the five-dimensional approach. I
    
    TMF, 4:3 (1970),  360–382
33. Kemmer–Duffin type equations in a five-dimensional Minkowski space
    
    TMF, 1:2 (1969),  242–250


34. Correction: “New systems and conservation laws of equations for elastic waves”
    
    Dokl. Akad. Nauk SSSR, 306:2 (1989),  264