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1993

Bedrij O., Fushchych W.I., Fundamental constants of nucleon-meson dynamics, Proc. Acad. of Sci. Ukraine, 1993, N 5, p.62–64 (in English).

Barannyk A.F., Fushchych W.I., On maximal subalgebras of the rank n - 1 of the conformal algebra AC(1, n), Proc. Acad. of Sci. Ukraine,  1993, N 6, p.38–41 (in English).

Fushchych W.I., Conditional symmetry of the equations of mathematical physics, in Proceedings of the International Workshop “Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics”, Editors N.H. Ibragimov, M. Torrisi, A. Valenti, Dordrecht, Kluwer Academic Publishers, 1993, p.231–239 (in English).

Fushchych W.I., Barannyk L.F., Lagno V.I., Invariant of one-parameter subgroups of the conformal group C(1,n), Proc. Acad. of Sci. Ukraine, 1993, N 3, p.45–48 (in English).

Fushchych W.I., Cherniha R.M., Systems of nonlinear evolution second-order equations invariant under Galilei algebra and its extension, Proc. Acad. of Sci. Ukraine, 1993, N 8, p.44–51 (in Ukrainian, English abstract).

Fushchych W.I., Chopyk V.I., Conditional symmetry and new representation of the Galilei algebra for nonlinear parabolic equations, Ukrain. Math. J., 1993, V.45, N 10, p.1433–1443 (in Ukrainian, English abstract).

Fushchych W.I., Chopyk V.I., Symmetry and non-Lie reduction of the nonlinear Schr\"odinger equation, Ukrain. Math. J., 1993, V.45, N 4, p.539–551 (in Ukrainian).

Fushchych W.I., Chopyk V.I., Symmetry analysis and ansatzes for the Schr\"odinger equation with the logarithmic nonlinearity, Preprint LiTH–MAT–R–93–06, Link\"oping University, Sweden, 1993, 13 p. (in English).

Fushchych W.I., Chopyk V.I., Cherkasenko V.P., Symmetry and exact solutions of multidimensional nonlinear Fokker–Planck equation, Proc. Acad. of Sci. Ukraine, 1993, N 2, p.32–42 (in English).

Fushchych W.I., Lahno V.I., Zhdanov R.Z., On nonlinear representation of the conformal algebra AC(2,2), Proc. Acad. of Sci. Ukraine, 1993, N 9, p.44–47 (in English).

Fushchych W.I., Serov N.I., Amerov T.K., Non-local ansatzes and solutions of nonlinear system of heat equations, Ukr. Math. J.,
1993, V.45, p.293–302 (in Russian).

Fushchych W.I., Serov N.I., Tulupova L.A., The conditional invariance and exact solutions of the nonlinear diffusion equation, Proc. Acad. of Sci. Ukraine, 1993, N 4, p.37–40 (in English).

Fushchych W.I, Shtelen W.M., Basarab-Horwath P., A new conformal-invariant nonlinear spinor equation, Preprint, LiTH–MAT–R–93–05, Link\"oping University, Sweden, 8 p. (in English).

Fushchych W.I., Tychynin V.A., Generation of solutions for nonlinear equations via the Euler–Ampere transformations, Proc. Acad. of Sci. Ukraine, 1993, N 7, p.40–45 (in English).

Fushchych W.I., Tychynin V.A., Hodograph transformations and generating of solutions for nonlinear differential equations, Proc. Acad. of Sci. Ukraine, 1993, N 10, p.52–58 (in English).

Fushchych W.I., Yegorchenko I.A., New conditionally invariant solutions for non-linear d'Alembert equation, Preprint LiTH–MAT–R–93–07, Link\"oping University, Sweden, 1993, 9 p. (in English).

Fushchych W.I., Zhdanov R.Z., Anti-reduction of the nonlinear wave equation, Proc. Acad. of Sci. Ukraine, 1993, N 11, p.37–41.

Fushchych W.I., Zhdanov R.Z., Revenko I.V., On the new approach to variable separation in the wave equation with potential, Proc. Acad. of Sci. Ukraine, 1993, N 1, p.27–32 (in English).

Zhdanov R.Z., Revenko I.V., Fushchych W.I., Orthogonal and non-orthogonal separation of variables in the wave equation $u_{tt}-u_{xx}+V(x)u=0$, J. Phys. A: Math. Gen., 1993, V.26, p.5959–5972 (in English).
 

1994

Barannyk A.F., Barannyk L.F., Fushchych W.I., Reduction of the multi-dimensional d'Alembert equation to 2-dimensional equations, Ukr. Math. J., 1994, V.46, N 6, p.651–662 (in Russian, English abstract).

Euler N., K\"ohler A., Fushchych W.I., Q-symmetry generators and exact solutions for nonlinear heat conduction, Phys. Scripta, 1994, V.49, N 7, p.518–524 (in English).

Fushchych W.I., Cherniha R.M., Galilei-invariant systems of nonlinear equations of Hamilton–Jacobi type and reaction-diffusion type,
Proc. Acad. of  Sci.  Ukraine, 1994, N 3,  p.31–37 (in Ukrainian, English abstract).

Fushchych W.I., Fedorchuk V.M., Leibov O.S., Symmetry reduction and some exact solutions of the Monge–Ampere equation,
Proc. Acad. of Sci. Ukraine, 1994, N 1, p.47–54 (in Ukrainian, English abstract).

Fushchych W.I., Popovych R.O., Symmetry reduction and exact solution of the Navier–Stokes equations. I, II,  J. Nonlinear Math. Phys., 1994, V.1,  N 1, p.75–113; N 2, p.156–188 (in English).

Fushchych W.I., Popovych R.O. and  Popovych G.V., Ans\"atze of codimension one for the Navier–Stokes field and reduction of the Navier–Stokes equations, Proc. Acad. of Sci. Ukraine, 1994, N 4, p.37–44 (in English).

Fushchych W.I., Zhdanov R.Z., Anti-reduction and exact solutions of nonlinear heat equations, J. Nonlinear Math. Phys., 1994, V.1, N 1, p.60–64 (in English).

Fushchych W.I., Zhdanov R.Z., Conditional symmetry and anti-reduction of nonlinear heat equation, Proc. Acad. of Sci. Ukraine, 1994, N 5, p.40–43 (in English).

Fushchych W.I., Zhdanov R.Z., Lahno V.I., On linear and non-linear representations of the generalized Poincar\'e groups in the class of Lie vector fields, J. Nonlinear Math. Phys., 1994, V.1, N 3, p.295–308 (in English).

Fushchych W.I., Tsyfra I.M., Nonlocal ansatzes for nonlinear wave equations, Proc. Acad. of Sci. Ukraine, 1994, N 10, p.34–39 (in English).

Fushchych W.I., Tsyfra I.M., Boyko V.M., Nonlinear representations for Poincar\'e and Galilei algebras and nonlinear equations for electromagnetic fields, J. Nonlinear Math. Phys., 1994, V.1, N 2, p.210–221 (in English).

Zhdanov R.Z., Revenko I.V., Fushchych W.I., On the new approach to variable separation in the two-dimensional Schr\"odinger equation, Proc. Acad. of Sci. Ukraine, 1994, N 11, p.38–44 (in English).

Zhdanov R.Z., Revenko I.V., Fushchych W.I., Separation of variables in the two-dimensional wave equation with potential, Ukrain. Math. J., 1994, V.46, N 10, p.1343–1361 (in English).
 

1995

Basarab-Horwath P., Barannyk L.F., Fushchych W.I., New solutions of the wave equation by reduction to the heat equation, J. Phys. A: Math. Gen., 1995, V.28, p.5291–5304 (in English).

Basarab-Horwath P., Euler N., Euler M., Fushchych W.I., Amplitude-phase representation for solutions of nonlinear d'Alembert equation, J. Phys. A: Math. Gen., 1995, V.28, p.6193–6201 (in English).

Bedrij O., Fushchych W.I., Planck's constant is not constant in different quantum phenomena, Proc. Acad. of Sci. Ukraine, 1995, N 12, p.26–27 (in English, Ukrainian abstract).

Fushchych W.I., Ansatz '95, J. Nonlinear Math. Phys., 1995, V.2, N 3–4, p.216–235 (in English).

Fushchych W.I., Galilei invariant nonlinear Schr\"odinger type equations and their exact solutions, Proceedings of the International Symposium on Mathematical Physics ``Nonlinear, Deformed and Irreversible Quantum Systems'' (15–19 August, 1994, Clausthal, Germany), Editors H.-D. Doebner, V.K. Dobrev and P. Nattermann, Singapore – New Jersey – London – Hong Kong, World Scientific, 1995, p.214–222 (in English).

Fushchych W.I., Barannyk A.F., Moskalenko Yu.D., On new exact solutions of the multidimensional non-linear d'Alembert equation,  Proc. Acad. of Sci. Ukraine, 1995, N 2, p.33–37 (in English).

Fushchych W.I., Boyko V.M., Symmetry classification of the one-dimensional second order equation of hydrodynamical type, Preprint LiTH-MAT-R-95-19, Linkoping University, Sweden, 1995, 11p. (in English).

Fushchych W.I., Cherniha  R.M., Galilei-invariant systems of nonlinear systems of evolution equations, J. Phys. A: Math. Gen., 1995,
V.28, p.5569–5579 (in English).

Fushchych W.I., Chopyk V.I., Nattermann P., Scherer W., Symmetries and reductions of nonlinear Schr\"odinger equations of Doebner–Goldin type, Reports on Math. Phys., 1995, V.35, N 1, p.129–138 (in English).

Fushchych W.I., Roman O.V., Zhdanov R.Z., Symmetry reduction and exact solutions of nonlinear biwave equations, Preprint ASI-TPA/13/95, Arnold-Sommerfeld-Institute for Mathematical Physics, Germany, 1995, 14p.; Reports on Math. Phys., 1996, V.37, N 2,  p.267–281. (in English).

Fushchych W.I., Roman O.V., Zhdanov R.Z., Symmetry and some exact solutions of non-linear polywave equations, Europhysics Letters, 1995, V.31, N 2, p.75–79 (in English).

Fushchych W.I., Zhdanov R.Z., Roman O.V., Symmetry properties, reduction and exact solutions of biwave equations, Preprint LiTH-MAT-R-95-20 Linkoping University, Sweden, 1995, 16p. (in English).

Lahno V.I., Zhdanov R.Z., Fushchych W.I., Symmetry reduction and exact solutions of the Yang–Mills equations, J. Nonlinear Math. Phys., 1995, V.2, N 1, p.51–72 (in English).

Zhdanov R.Z., Fushchych W.I., Conditional symmetry and new classical solutions of the Yang–Mills equations, J. Phys. A: Math. Gen., 1995, V.28, p.6253–6263.

Zhdanov R.Z., Fushchych W.I., On non-Lie ansatzes and new exact solutions of the classical Yang–Mills equations, J. Nonlinear Math. Phys., 1995, V.2, N 2, p.172–181 (in English).

Zhdanov R.Z., Fushchych W.I., Symmetry and reduction of nonlinear Dirac equations, Proceedings of the International Symposium on Mathematical Physics ``Nonlinear, Deformed and Irreversible Quantum Systems'' (15–19 August, 1994, Clausthal, Germany), Editors H.-D. Doebner, V.K. Dobrev and P. Nattermann, Singapore – New Jersey – London – Hong Kong, World Scientific, 1995, p.223–229 (in English).

Zhdanov R.Z., Lahno V.I., Fushchych W.I., Reduction of the self-dual Yang–Mills equations. I. The Poincar\'e group, Ukr. Math. J., 1995, V.47, N 4, p.456–462 (in English).

Zhdanov R.Z., Revenko I.V., Fushchych W.I., On the new approach to variable separation in the time-dependent Schr\"odinger equation with two space dimensions, J. Math. Phys., 1995, V.36, N 10, p.5506–5521 (in English).

Zhdanov R.Z., Revenko I.V., Fushchych W.I., On the general solution of the d'Alembert equation with a nonlinear eikonal constraint and its applications, J. Math. Phys., 1995, V.36, N 12, p.7109–7127 (in English).
 

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