Fushchych, V. I.; Sjerov, M. I.; Sjerova, M. M.; Gljeba, A. V. Lie and conditional symmetries of the Hamilton-Jacobi system of equations. (Ukrainian) Zbl 0930.58021 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 12, 49-52 (1998). Reviewer: I.O.Parasyuk (Kyïv) MSC: 58J70 70H20 35Q99 PDFBibTeX XMLCite \textit{V. I. Fushchych} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 12, 49--52 (1998; Zbl 0930.58021)
Fushchich, W. I.; Shtelen, W. M.; Serov, N. I. Symmetry analysis and exact solutions of equations of nonlinear mathematical physics. (English) Zbl 0838.58043 Mathematics and its Applications (Dordrecht). 246. Dordrecht: Kluwer Academic Publishers. xxiv, 435 p. (1993). Reviewer: P.Godin (Bruxelles) MSC: 58J70 35A30 58-02 22E05 35-02 45K05 35Qxx PDFBibTeX XMLCite \textit{W. I. Fushchich} et al., Symmetry analysis and exact solutions of equations of nonlinear mathematical physics. Dordrecht: Kluwer Academic Publishers (1993; Zbl 0838.58043)
Fushchich, V. I.; Barannik, L. F.; Barannik, A. F. Subgroup analysis of Galilei and Poincaré groups and the reduction of nonlinear equations. (Podgruppovoj analiz grupp Galileya, Puankare i reduktsiya nelinejnykh uravnenij.) (Russian) Zbl 0920.58066 Kiev: Naukova Dumka. 301 p. (1991). MSC: 58-02 58J70 17B68 35A30 35Qxx PDFBibTeX XMLCite \textit{V. I. Fushchich} et al., Podgruppovoj analiz grupp Galileya, Puankare i reduktsiya nelinejnykh uravnenij (Russian). Kiev: Naukova Dumka (1991; Zbl 0920.58066)
Fushchich, V. I. (ed.) Algebra-theoretic analysis of equations in mathematical physics. Collection of scientific works. (Теоретико-алгебраический анализ уравнений математической физики. Сборник научных трудов.) (Russian) Zbl 0752.00020 Kiev: Institut Matematiki AN USSR. 123 p. (1990). MSC: 00B15 35-06 PDFBibTeX XMLCite \textit{V. I. Fushchich} (ed.), Теоретико-алгебраический анализ уравнений математической физики. Сборник научных трудов (Russian). Kiev: Institut Matematiki AN USSR (1990; Zbl 0752.00020)
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.; Shtelen’, V. M.; Serov, N. I. Symmetry analysis and exact solutions of nonlinear equations of mathematical physics. (Simmetrijnyj analiz i tochnye resheniya nelinejnykh uravnenij matematicheskoj fiziki.) (Russian) Zbl 0727.58002 Kiev: Naukova Dumka. 336 p. R. 4.50 (1989). MSC: 58-02 35-02 58J70 22E05 35Qxx 81-02 81R20 PDFBibTeX XMLCite \textit{V. I. Fushchich} et al., Simmetrijnyj analiz i tochnye resheniya nelinejnykh uravnenij matematicheskoj fiziki (Russian). Kiev: Naukova Dumka (1989; Zbl 0727.58002)
Fushchich, V. I. (ed.) Symmetry and solutions of equations of mathematical physics. Collection of scientific works. (Simmetriya i resheniya uravenenij mathematicheskoj fiziki. Sbornik nauchnykh trudov.) (Russian) Zbl 0685.00012 Kiev: Institut Matematiki AN USSR. 128 p. R. 0.90 (1989). MSC: 00Bxx 35-06 PDFBibTeX XML
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.; 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. (ed.) Symmetric analysis and solutions of equations of mathematical physics. Collection of scientific works. (Simmetrijnyj analiz i resheniya uravnenij matematicheskoj fiziki. Sbornik nauchnykh rabot.) (Russian) Zbl 1081.35500 Kiev: Institut Matematiki AN USSR. 116 p. (1988). MSC: 35-06 00B15 35A30 35Qxx PDFBibTeX XMLCite \textit{V. I. Fushchich} (ed.), Simmetrijnyj analiz i resheniya uravnenij matematicheskoj fiziki. Sbornik nauchnykh rabot (Russian). Kiev: Institut Matematiki AN USSR (1988; Zbl 1081.35500)
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, W. I.; Zhdanov, R. Z. Nonlocal ansätze for the Dirac equation. (English) Zbl 0686.35097 J. Phys. A, Math. Gen. 21, No. 23, L1117-L1121 (1988). MSC: 35Q99 PDFBibTeX XMLCite \textit{W. I. Fushchich} and \textit{R. Z. Zhdanov}, J. Phys. A, Math. Gen. 21, No. 23, L1117--L1121 (1988; Zbl 0686.35097) Full Text: DOI
Fushchich, V. I.; Zhdanov, R. Z. On the reduction and some new exact solutions of the nonlinear Dirac and Dirac-Klein-Gordon equations. (English) Zbl 0659.35090 J. Phys. A 21, No. 1, L5-L9 (1988). MSC: 35Q99 35C05 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{R. Z. Zhdanov}, J. Phys. A, Math. Gen. 21, No. 1, L5--L9 (1988; Zbl 0659.35090) Full Text: DOI Link
Fushchich, V. I. The symmetry and exact solutions of some multidimensional nonlinear equations of mathematical physics. (English) Zbl 0705.35024 Differential geometric methods in theoretical physics, Proc. 15th Int. Conf., DGM, Clausthal/FRG 1986, 544-549 (1987). MSC: 35G20 35Q99 35J60 35Q55 35L70 PDFBibTeX XML
Fushchich, V. I.; Zhdanov, R. Z. On some exact solutions of a system of nonlinear differential equations for spinor and vector fields. (English) Zbl 0663.35090 J. Phys. A 20, 4173-4190 (1987). MSC: 35Q99 35C05 81Q05 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{R. Z. Zhdanov}, J. Phys. A, Math. Gen. 20, 4173--4190 (1987; Zbl 0663.35090) Full Text: DOI
Fushchich, V. I.; Nikitin, A. G. [Fushchich, W. I.] Symmetries of Maxwell’s equations. Transl. from the Russian by John R. Schulenberger. (English) Zbl 0644.35004 Mathematics and its Applications (Soviet Series), 8. Dordrecht etc.: D. Reidel Publishing Company, a member of the Kluwer Academic Publishers Group. XIV, 214 p.; Dfl. 160.00; $ 74.00; £57.00 (1987). Reviewer: P.Zabrejko MSC: 35-02 35Q99 35A30 78A25 PDFBibTeX XML
Fushchich, V. I. (ed.) Symmetry and solutions of nonlinear equations of mathematical physics. Collection of scientific works. (Simmetriya i resheniya nelinejnykh uravnenij matematicheskoj fiziki. Sbornik nauchnykh trudov). (Russian) Zbl 0641.35001 Kiev: Institut Matematiki AN USSR. 120 p. R. 0.90 (1987). MSC: 35-06 00Bxx 35Q99 35A30 35G20 PDFBibTeX XML
Fushchich, V. I.; Shtelen’, V. M. Reductions and exact solutions of a nonlinear Dirac equation. (English. Russian original) Zbl 0639.35076 Theor. Math. Phys. 72, No. 1, 703-710 (1987); translation from Teor. Mat. Fiz. 72, No. 1, 35-44 (1987). MSC: 35Q99 35C05 81Q05 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{V. M. Shtelen'}, Theor. Math. Phys. 72, No. 1, 703--710 (1987; Zbl 0639.35076); translation from Teor. Mat. Fiz. 72, No. 1, 35--44 (1987) Full Text: DOI
Fushchich, W. I.; Nikitin, A. G. On the new invariance algebras and superalgebras of relativistic wave equations. (English) Zbl 0632.35071 J. Phys. A 20, 537-549 (1987). MSC: 35Q99 35A30 35B40 17A70 PDFBibTeX XMLCite \textit{W. I. Fushchich} and \textit{A. G. Nikitin}, J. Phys. A, Math. Gen. 20, 537--549 (1987; Zbl 0632.35071) Full Text: DOI Link
Fushchich, V. I.; Zifra, I. M. [Fushchich, W. I.] Conformally invariant nonlinear equations of electromagnetic field. (English) Zbl 0693.35129 Group theoretical methods in physics, Proc. 3rd Semin., Yurmala/USSR 1985, Vol. 2, 111-116 (1986). Reviewer: M.Chicco MSC: 35Q99 78A25 PDFBibTeX XML
Fushchich, V. I. On the symmetry and exact solutions of some multidimensional equations of mathematical physics. (Russian) Zbl 0655.35066 Investigations on function theory of a complex variable with application to continuum mechanics, Collect. sci. Works, Kiev 1986, 146-160 (1986). Reviewer: A.Borisov MSC: 35Q99 35G20 35C05 35A30 PDFBibTeX XML
Fushchich, V. I.; Zhdanov, R. Z. Exact solutions of systems of nonlinear differential equations for spinor and tensor fields. (Russian) Zbl 0614.35077 Group-theoretical studies on equations of mathematical physics, Collect. sci. Works, Kiev 1985, 20-30 (1985). Reviewer: A.Borisov MSC: 35Q99 35C05 81Q05 81V10 PDFBibTeX XML
Fushchich, W. I.; Cherniga, R. M. The Galilean relativistic principle and nonlinear partial differential equations. (English) Zbl 0613.35060 J. Phys. A 18, 3491-3503 (1985). Reviewer: A.Bocharov MSC: 35Q99 35G10 35K25 35A30 35B40 22E70 PDFBibTeX XMLCite \textit{W. I. Fushchich} and \textit{R. M. Cherniga}, J. Phys. A, Math. Gen. 18, 3491--3503 (1985; Zbl 0613.35060) Full Text: DOI Link
Fushchich, V. I. On the Poincaré, Galilei-invariant nonlinear equations and methods of their solutions. (Russian) Zbl 0608.35066 Group-theoretical studies on equations of mathematical physics, Collect. sci. Works, Kiev 1985, 4-19 (1985). Reviewer: A.B.Borisov MSC: 35Q99 35G20 35L70 35B40 PDFBibTeX XML
Fushchich, V. I. (ed.) Group-theoretical studies on equations of mathematical physics. Collection of scientific works. (Teoretiko-gruppovye issledovaniya uravnenij matematicheskoj fiziki. Sbornik nauchnykh trudov). (Russian) Zbl 0586.00015 Kiev: Institut Matematiki AN USSR. 152 p. R. 0.60 (1985). MSC: 00Bxx 35-06 81-06 PDFBibTeX XML
Fushchich, V. I. Lie groups and exact solutions of multidimensional nonlinear d’Alembert, Liouville, Schrödinger, Dirac equations. (Russian) Zbl 0555.35121 Operator algebras, ideals, and their applications in theoretical physics, Proc. int. Conf., Leipzig 1983, Teubner-Texte Math. 67, 76-84 (1984). Reviewer: G.-Z.Tu MSC: 35Q99 35C05 22E70 PDFBibTeX XML
Fushchich, V. I.; Serov, N. I.; Shtelen’, V. M. On some exact solutions of the D’Alembert, Liouville, Dirac multidimensional nonlinear equations and of the eikonal equation. (Russian) Zbl 0617.35111 Group theoretical methods in physics, Vol. II, Proc. Int. Semin., Zvenigorod 1982, 407-413 (1983). Reviewer: B.G.Konopelchenko MSC: 35Q99 PDFBibTeX XML
Fushchich, V. I.; Serov, N. I. The symmetry and some exact solutions of the nonlinear many-dimensional Liouville, d’Alembert and eikonal equations. (English) Zbl 0554.35106 J. Phys. A 16, 3645-3656 (1983). Reviewer: J.Smid MSC: 35Q99 35A30 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{N. I. Serov}, J. Phys. A, Math. Gen. 16, 3645--3656 (1983; Zbl 0554.35106) Full Text: DOI Link
Fushchich, V. I. On symmetry and particular solutions of some multidimensional problems of mathematical physics. (Russian. English summary) Zbl 0553.35070 Algebraic-theoretical methods in the problems of mathematical physics, Collect. sci. Works, Kiev 1983, 4-23 (1983). Reviewer: B.G.Konopelchenko MSC: 35Q99 35C05 PDFBibTeX XML
Fushchich, V. I.; Shtelen, V. M. On invariant solutions of the nonlinear Dirac equation. (English. Russian original) Zbl 0534.35078 Sov. Phys., Dokl. 28, 236-238 (1983); translation from Dokl. Akad. Nauk SSSR 269, 88-92 (1983). Reviewer: A.K.Guc MSC: 35Q99 81Q05 22E43 22E70 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{V. M. Shtelen}, Sov. Phys., Dokl. 28, 236--238 (1983; Zbl 0534.35078); translation from Dokl. Akad. Nauk SSSR 269, 88--92 (1983)
Fushchich, V. I.; Nikitin, A. G. The symmetry of Maxwell equations. (Simmetriya uravnenij Maksvella). (Russian) Zbl 0531.35003 Akademiya Nauk Ukrainskoj SSR. Institut Matematiki. Kiev: ”Naukova Dumka”. 200 p. R. 2.00 (1983). Reviewer: K.Pimenov MSC: 35-02 35Q99 35A30 22E70 83C50 PDFBibTeX XML
Fushchich, V. I. (ed.) Algebraic-theoretical methods in the problems of mathematical physics. Collection of scientific works. (Teoretiko-algebraicheskie metody v zadachakh matematicheskoj fiziki. Sbornik nauchnykh trudov). (Russian) Zbl 0529.00024 Kiev: Institut Matematiki AN USSR. 140 p. R. 0.60 (1983). MSC: 00Bxx 35-06 81-06 PDFBibTeX XML
Fushchich, V. I.; Shtelen, V. M. On some exact solutions of the nonlinear Dirac equation. (English) Zbl 0523.35093 J. Phys. A 16, 271-277 (1983). MSC: 35Q99 81Q05 35A30 35C05 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{V. M. Shtelen}, J. Phys. A, Math. Gen. 16, 271--277 (1983; Zbl 0523.35093) Full Text: DOI Link
Fushchich, V. I. Symmetry in problems of mathematical physics. (Russian) Zbl 0505.35016 Algebraic-theoretical investigations in mathematical physics, Collect. sci. Works, Kiev 1981, 6-28 (1981). MSC: 35C05 35Q99 35B20 35L70 70H20 PDFBibTeX XML
Fushchich, V. I. (ed.) Algebraic-theoretical investigations in mathematical physics. Collection of scientific works. (Teoretiko-algebraicheskie issledovaniya v matematicheskoj fizike. Sbornik nauchnykh trudov). (Russian) Zbl 0481.00012 Akademiya Nauk Ukrainskoj SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki. Kiev: Institut Matematiki AN USSR. 149 p. R. 0.60 (1981). MSC: 00Bxx 35-06 70-06 22-06 PDFBibTeX XML
Fushchich, V. I.; Nakonechnyj, V. V. Algebra-theoretic analysis of Lame’s equation. (English) Zbl 0451.35077 Ukr. Math. J. 32, 175-179 (1980). MSC: 35Q99 35A25 74B99 45K05 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{V. V. Nakonechnyj}, Ukr. Math. J. 32, 175--179 (1980; Zbl 0451.35077) Full Text: DOI
Fushchich, V. I.; Nakonechnyj, V. V. Eine theoretisch-algebraische Analyse der Lameschen Gleichung. (Russian) Zbl 0434.35077 Ukr. Mat. Zh. 32, 267-272 (1980). MSC: 35Q99 35A25 74B99 45K05 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{V. V. Nakonechnyj}, Ukr. Mat. Zh. 32, 267--272 (1980; Zbl 0434.35077) Full Text: DOI
Mitropol’skij, Yu. A. (ed.); Fushchich, V. I. (ed.) Group-theoretic methods in mathematical physics. Collection of scientific works. (Teoretiko-gruppovye metody v matematiceskoi fizike. Sbornik naucnyh trudov.). (Russian) Zbl 0397.00016 Akademija Nauk Ukrainskoi SSR, Ordena Trudovogo Krasnogo Znameni, Institut Matematiki. Kiev: Institut Matematiki AN USSR. 184 p. (1978). MSC: 00Bxx 20-06 22E70 20C35 PDFBibTeX XML
Fushchich, V. I. Group properties of differential equations of quantum mechanics. (Russian) Zbl 0411.35080 Probl. asympt. Theory nonlin. Oscill., Acad. Sci. Ukr. SSR, Inst. Math., 238-246 (1977). MSC: 35Q99 35J10 81Q05 81-01 PDFBibTeX XML
Fushchich, V. I. On an additional invariance of the Klein-Gordon-Fock equation. (English. Russian original) Zbl 0397.35058 Sov. Phys., Dokl. 21(1976), 494-495 (1977); translation from Dokl. Akad. Nauk SSSR 230, 570-572 (1976). MSC: 35Q99 35S05 PDFBibTeX XMLCite \textit{V. I. Fushchich}, Sov. Phys., Dokl. 21, 494--495 (1976; Zbl 0397.35058); translation from Dokl. Akad. Nauk SSSR 230, 570--572 (1976)