Fushchich, V. I.; Barannik, A. F. On exact solutions of the nonlinear d’Alembert equation in the Minkowski space \(R_{1,n}\). (Russian. English summary) Zbl 0727.35089 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 6, 31-34 (1990). Reviewer: V.Komkov (Wright-Patterson) MSC: 35L70 35C05 35Q75 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{A. F. Barannik}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 6, 31--34 (1990; Zbl 0727.35089)
Fushchich, V. I.; Serov, N. I. Conditional invariance and reduction of the nonlinear heat equation. (Russian. English summary) Zbl 0727.35066 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 7, 24-27 (1990). Reviewer: R.Kodnár (Bratislava) MSC: 35K55 35G20 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{N. I. Serov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 7, 24--27 (1990; Zbl 0727.35066)
Fushchich, V. I.; Shtelen’, V. M.; Spichak, S. V. Connection between solutions of the Dirac and Maxwell equations. Supersymmetry of the Dirac equation. (Russian. English summary) Zbl 0724.35102 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 3, 36-40 (1990). Reviewer: W.Kotarski (Katowice) MSC: 35Q60 35Q40 PDFBibTeX XMLCite \textit{V. I. Fushchich} et al., Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 3, 36--40 (1990; Zbl 0724.35102)
Fushchich, V. I.; Chopic, V. I. Conditional invariance of the nonlinear Schrödinger equation. (Russian. English summary) Zbl 0724.35100 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 4, 30-33 (1990). Reviewer: W.Kotarski (Katowice) MSC: 35Q55 35C05 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{V. I. Chopic}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 4, 30--33 (1990; Zbl 0724.35100)
Fushchich, V. I.; Egorchenko, I. A. On reduction of the multidimensional nonlinear wave equation to two- dimensional equations. (Russian. English summary) Zbl 0724.35069 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 8, 32-34 (1990). Reviewer: A.Klíč (Praha) MSC: 35L70 35A25 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{I. A. Egorchenko}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 8, 32--34 (1990; Zbl 0724.35069) Full Text: arXiv
Fushchich, V. I.; Tychinin, V. A. Exact solutions and the superposition principle for the nonlinear wave equation. (Russian. English summary) Zbl 0724.35023 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 5, 33-37 (1990). Reviewer: M.Kopáčková (Praha) MSC: 35C05 35L70 35Q99 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{V. A. Tychinin}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 5, 33--37 (1990; Zbl 0724.35023)
Fushchich, V. I.; Chopik, V. I.; Mironyuk, P. I. Conditional invariance and exact solutions of three-dimensional nonlinear equations of acoustics. (Russian. English summary) Zbl 0723.76085 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 9, 25-28 (1990). MSC: 76Q05 35Q35 PDFBibTeX XMLCite \textit{V. I. Fushchich} et al., Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 9, 25--28 (1990; Zbl 0723.76085)
Fushchich, V. I.; Serov, N. I.; Amerov, T. K. Conditional invariance of the nonlinear heat equation. (Russian. English summary) Zbl 0745.35021 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 11, 16-18 (1990). Reviewer: J.E.Bouillet (Buenos Aires) MSC: 35K55 35K05 35K10 35A30 PDFBibTeX XMLCite \textit{V. I. Fushchich} et al., Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 11, 16--18 (1990; Zbl 0745.35021)
Fushchich, V. I.; Shtelen’, V. M. On approximate symmetry in solutions of the nonlinear wave equation with a small parameter. (Russian. English summary) Zbl 0714.35050 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 8, 18-21 (1989). Reviewer: E.D.Belokolos MSC: 35L70 35Q99 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{V. M. Shtelen'}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 8, 18--21 (1989; Zbl 0714.35050)
Fushchich, V. I.; Egorchenko, I. A. Differential invariants of the Galilei algebra. (Russian. English summary) Zbl 0701.35145 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 4, 29-32 (1989). MSC: 35Q75 22E70 35L70 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{I. A. Egorchenko}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 4, 29--32 (1989; Zbl 0701.35145)
Fushchich, V. I.; Egorchenko, I. A. Differential invariants of the Poincaré algebra and conformal algebra. (Russian. English summary) Zbl 0701.35144 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 5, 21-22 (1989). MSC: 35Q75 22E70 35L70 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{I. A. Egorchenko}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 5, 21--22 (1989; Zbl 0701.35144)
Fushchich, V. I.; Shtelen’, V. M. On approximate symmetry in solutions of the nonlinear wave equation with a small parameter. (Russian. English summary) Zbl 0701.35107 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 8, 18-21 (1989). MSC: 35L70 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{V. M. Shtelen'}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 8, 18--21 (1989; Zbl 0701.35107)
Fushchich, V. I.; Revenko, I. V. The third and fourth order Poincaré-invariant equations in Ostrogradskij mechanics. (Russian. English summary) Zbl 0697.70018 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 11, 26-29 (1989). MSC: 70H40 70A05 83A05 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{I. V. Revenko}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 11, 26--29 (1989; Zbl 0697.70018)
Fushchich, V. I.; Revenko, I. V. On exact solutions of the Lorentz-Maxwell equations. (Russian. English summary) Zbl 0694.35161 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 6, 28-31 (1989). MSC: 35Q99 78A25 35C05 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{I. V. Revenko}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 6, 28--31 (1989; Zbl 0694.35161)
Fushchich, V. I.; Serov, N. I. Conditional invariance and exact solutions of the nonlinear equation of acoustics. (Russian. English summary) Zbl 0688.35081 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 10, 27-31 (1988). MSC: 35Q99 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{N. I. Serov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 10, 27--31 (1988; Zbl 0688.35081)
Fushchich, V. I.; Galitsym, A. S.; Polubinskij, A. S. A new mathematical model for diffusion processes with finite velocity. (Russian. English summary) Zbl 0682.35052 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 8, 22-27 (1988). MSC: 35K25 34A99 35K57 PDFBibTeX XMLCite \textit{V. I. Fushchich} et al., Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 8, 22--27 (1988; Zbl 0682.35052)
Fushchich, V. I.; Serov, N. I.; Chopik, V. I. Conditional invariance and nonlinear heat conduction equation. (Russian. English summary) Zbl 0662.35057 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 9, 17-21 (1988). MSC: 35K55 80A20 35F20 PDFBibTeX XMLCite \textit{V. I. Fushchich} et al., Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 9, 17--21 (1988; Zbl 0662.35057)
Fushchich, V. I.; Selekhman, N. A. Integro-differential equations which are invariant with respect to the Galilei, Poincaré, Schrödinger, and conformal group. (Russian) Zbl 0516.45019 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 5, 21-24 (1983). MSC: 45K05 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{N. A. Selekhman}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 5, 21--24 (1983; Zbl 0516.45019)