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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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