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conf95.ps
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b(416)0 4111 y Fg(Vyacheslav)40 b(BO)m(YK)m(O.)80 b Ff(Symmetry)35 b(Classi\014cation)h(of)i(the)h(One-)181 4261 y(Dimensional)d(Second)i(Order)g(Equation)f(of)h(a)h(Hydro)s (dynamic)c(T)m(yp)s(e)96 b(.)h(418)p eop %%Page: 3 3 3 2 bop 393 182 a Fi(V)-13 b(olume)106 b Fh(3)452 b(1996)376 b Fi(Num)l(b)t(ers)106 b Fh(1{2)1511 426 y(Con)-5 b(ten)g(ts)0 693 y Fg(J.M.)42 b(CER)-12 b(VER)790 663 y(\023)767 693 y(O)42 b(and)f(O.)h(ZURR)1645 663 y(\023)1623 693 y(ON)p Ff(.)c(In)m(tegrabilit)m(y)d(of)j(the)h(P)m(erturb)s(ed)181 843 y(KdV)g(Equation)d(for)i(Con)m(v)m(ecting)e(Fluids:)51 b(Symmetry)35 b(Analysis)j(and)181 992 y(Solutions)100 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)103 b(1)0 1177 y Fg(M.)42 b(LAKSHMANAN,)e(M.)i(SENTHIL) g(VELAN)p Ff(.)d(Lie)f(Symmetries,)181 1327 y(Inf)8 b (inite-Dimensional)35 b(Lie)j(Algebras)f(and)i(Similarit)m(y)34 b(Reductions)181 1476 y(of)k(Certain)f(\(2)25 b(+)i(1\)-Dimensional)35 b(Nonlinear)h(Ev)m(olution)g(Equations)96 b(.)19 b(.)98 b(24)0 1661 y Fg(M.)42 b(SHKIL')p Ff(.)c(On)h(Asymptotic)c(Metho)s(ds)k (in)g(the)f(Theory)g(of)g(Di\013eren)m(tial)181 1810 y(Equations)f(of)h(Mathematical)c(Ph)m(ysics)98 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)98 b(40)0 1995 y Fg(M.)42 b(ZNOJIL)p Ff(.)c(Nonlinearized)e(P)m(erturbation)f (Theories)100 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)101 b(51)0 2180 y Fg(M.)42 b(SER)m(O)m(V)p Ff(.)c(Conditional)d(and)k(Nonlo)s(cal)e(Symmetry)d(of)39 b(Nonlinear)181 2330 y(Heat)f(Equation)85 b(.)18 b(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)88 b(63)0 2514 y Fg(P.)42 b(MORANDO)f(and)83 b(S.)42 b(P)-9 b(ASQUER)m(O)p Ff(.)38 b(Di\013eren)m(tial)f(Op)s(erators,)181 2664 y(Symmetries)d(and)39 b(the)g(In)m(v)m(erse)f(Problem)e(for)i(Second-Order)181 2813 y(Di\013eren)m(tial)e(Equations)105 b(.)19 b(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)107 b(68)0 2998 y Fg(E.M.)42 b(V)m(OR)m(OB'EV)p Ff(.)c(Symmetry)d (Analysis)i(of)i(Nonlinear)d(PDE)j(with)181 3148 y(a)f(\\Mathematica")c (Program)h(SYMMAN)104 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)104 b(85)0 3332 y Fg(V.)42 b(TRETYNYK)p Ff(.)c(P)m(arasup)s(ersymmetri)o (es)c(and)k(Non-Lie)g(Constan)m(ts)181 3482 y(of)g(Motion)f(for)h(Tw)m (o-P)m(article)d(Equations)88 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) 90 b(90)0 3667 y Fg(R.K.)42 b(GAZIZO)m(V)p Ff(.)c(Lie)g(Algebras)g(of)g (Appro)m(ximate)c(Symmetries)97 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) 100 b(96)0 3852 y Fg(S.A.)41 b(FULLING)p Ff(.)f(Graph)e(Expansions)g (and)g(Graphical)f(En)m(umeration)181 4001 y(Applied)h(to)g (Semiclassical)d(Propagator)g(Expansions)97 b(.)19 b(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)100 b(102)0 4186 y Fg(A.K.)41 b(LOP)-9 b(A)g(TIN)p Ff(.)39 b(Symmetry)c(in)j(Nonlinear)f (Mec)m(hanics:)51 b(Av)m(eraging)181 4335 y(and)38 b(Normalization)33 b(Pro)s(cedures,)38 b(New)g(Problems)e(and)j(Algorithms)88 b(.)93 b(111)0 4520 y Fg(R.J.)42 b(WIL)-9 b(TSHIRE)p Ff(.)39 b(P)m(erturb)s(ed)e(Lie)i(Symmetry)c(and)j(Systems)g(of)181 4670 y(Non-Linear)f(Di\013usion)h(Equations)108 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)110 b(130)p eop %%Page: 4 4 4 3 bop 0 171 a Fg(V.A.)41 b(BAIK)m(O)m(V,)h(K.R.)g(KHUSNUTDINO)m(V)-12 b(A)p Ff(.)37 b(F)-10 b(ormal)36 b(Linearization)181 320 y(and)i(Exact)g(Solutions)f(of)h(Some)f(Nonlinear)g(P)m(artial)e (Di\013eren)m(tial)181 469 y(Equations)97 b(.)18 b(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)100 b(139)0 654 y Fg(I.T.)41 b(HABIBULLIN)p Ff(.)f(Symmetry)35 b(Approac)m(h)i(in)h (Boundary)g(V)-10 b(alue)181 804 y(Problems)88 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f (.)92 b(147)0 989 y Fg(A.A.)41 b(MOHAMMAD)g(and)g(M.)h(CAN)p Ff(.)c(P)m(ainlev)m(e)f(Analysis)g(and)181 1138 y(Symmetries)d(of)39 b(the)f(Hirota{Satsuma)c(Equation)105 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)108 b(152)0 1323 y Fg(S.)41 b(SPICHAK.)81 b Ff(On)39 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(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)104 b(202)0 4481 y Fg(L.O.)42 b(TULUPO)m(V)-12 b(A)p Ff(.)38 b(Symmetry)d(Prop)s(erties)h(and)j(Reduction)f(of)g(the)181 4631 y(Generalized)f(Nonlinear)f(System)h(of)i(Tw)m(o-Phase)e(Liquid)h (Equations)92 b(.)j(214)0 4816 y Fg(E.A.)42 b(SAIED)g(and)f(M.M.)g (HUSSEIN)p Ff(.)d(Similarit)m(y)c(Solutions)j(for)h(a)181 4965 y(Nonlinear)e(Mo)s(del)j(of)f(the)h(Heat)f(Equation)85 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)88 b(219)p eop %%Page: 5 5 5 4 bop 0 171 a Fg(Z.)41 b(JIANG)p Ff(.)f(Direct)e(Similarit)m(y)33 b(Solution)k(Metho)s(d)i(and)g(Comparison)181 320 y(with)e(the)i (Classical)e(Lie)h(Symmetry)d(Solutions)87 b(.)18 b(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)89 b(226)0 505 y Fg(A.A.)41 b(BOR)m(GHARDT,)i(D.Y)-9 b(a.)53 b(KARPENK)m(O)42 b(and)g(D.V.)f(KASHKAKHA.)259 654 y Ff(Quasiclassical)36 b(Solutions)h(of)h(the)h(Sc)m(hr\177)-59 b(odinger)37 b(Equati-)181 804 y(ons)i(as)f(a)h(Consequense)f(of)g(the) h(Nonlinear)e(Problem)85 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)89 b(236)393 1426 y Fi(V)-13 b(olume)106 b Fh(3)452 b(1996)376 b Fi(Num)l(b)t(ers)106 b Fh(3{4)1511 1740 y(Con)-5 b(ten)g(ts)0 2126 y Fg(R.K.)42 b(BULLOUGH)g(and)g(P.J.)g (CA)m(UDREY.)d Ff(Symmetries)c(of)j(the)h(Classical)181 2276 y(In)m(tegrable)d(Systems)i(and)g(2-Dimensional)e(Quan)m(tum)g (Gra)m(vit)m(y:)181 2425 y(a)i(`Map')107 b(.)18 b(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)108 b(245)0 2610 y Fg(J.)42 b(HIET)-9 b(ARINT)g(A.)39 b Ff(Gauge)f (symmetry)d(and)j(the)h(generalization)c(of)181 2759 y(Hirota's)h(bilinear)h(metho)s(d)86 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)89 b(260)0 2944 y Fg(M.)42 b(LEGAR)614 2914 y(\023)597 2944 y(E.)107 b Ff(Symmetry)35 b(Reductions)j(of)g(the)h(Lax)f(P)m(air)f(of) h(the)181 3094 y(F)-10 b(our-Dimensional)35 b(Euclidean)j(Self-Dual)g (Y)-10 b(ang-Mills)37 b(Equations)93 b(.)18 b(.)h(.)96 b(266)0 3278 y Fg(V.A.)41 b(Y)-9 b(A)g(TSUN)41 b(and)g(A.M.)h(P)-9 b(A)d(VL)j(YUK.)81 b Ff(Generalized)37 b(Self-Dualit)m(y)f(for)181 3428 y(the)i(Sup)s(ersymmetric)d(Y)-10 b(ang-Mills)37 b(Theory)h(with)f(a)i(Scalar)e(Multiplet)165 b(286)0 3613 y Fg(V.)42 b(LAHNO.)c Ff(On)h(P)m(oincar)m(\023)-55 b(e-In)m(v)-7 b(arian)m(t)34 b(Reduction)j(and)i(Exact)f(Solutions)181 3762 y(of)g(the)h(Y)-10 b(ang-Mills)37 b(Equations)98 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)101 b(291)0 3947 y Fg(W.)41 b(FUSHCHYCH,)g(R.)h(CHERNIHA)g(and)f(V.) h(CHOPYK.)80 b Ff(On)39 b(Unique)181 4097 y(Symmetry)c(of)j(Tw)m(o)f (Nonlinear)g(Generalizations)e(of)j(the)h(Sc)m(hr\177)-59 b(odinger)142 4246 y(Equation)88 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)91 b(296)0 4431 y Fg(P.)42 b(NA)-9 b(TTERMANN)41 b(and)g(H.-D.)h(DOEBNER.)e Ff(Gauge)e(Classi\014cation,)181 4580 y(Lie)g(Symmetries)d(and)k(In)m (tegrabilit)m(y)c(of)j(a)g(F)-10 b(amily)37 b(of)h(Nonlinear)181 4730 y(Sc)m(hr\177)-59 b(odinger)36 b(Equations)86 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)89 b(302)0 4915 y Fg(P.)42 b(BASARAB-HOR)-12 b(W)j(A)g(TH.)77 b Ff(A)39 b(Symmetry)c(Connection)i(Bet)m(w)m(een)142 5064 y(Hyp)s(erb)s(olic)g(and)i(P)m(arab)s(olic)c(Equations)87 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)89 b(311)p eop %%Page: 6 6 6 5 bop 0 171 a Fg(N.A.)41 b(BELO)m(V,)i(A.N.)e(LEZNO)m(V)h(and)f(W.J.) h(ZAKRZEWSKI.)c Ff(Discrete)181 320 y(Symmetry)d(and)j(Its)h(Use)g(to)f (Find)h(Multi-Soliton)d(Solutions)h(of)181 469 y(the)h(Equations)f(of)h (Anisotropic)f(Heisen)m(b)s(erg)g(F)-10 b(erromagnets)85 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)88 b(319)0 654 y Fg(E.M.)42 b(V)m(OR)m(OB'EV.)d Ff(W)-10 b(eak)38 b(and)h(P)m(artial)d (Symmetries)e(of)39 b(Nonlinear)181 804 y(PDE)f(in)h(Tw)m(o)e(Indep)s (enden)m(t)i(V)-10 b(ariables)109 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)111 b(330)0 989 y Fg(A.F.)42 b(BARANNYK)g(and)f(Y)-9 b(u.D.)41 b(MOSKALENK)m(O.)d Ff(Conditional)181 1138 y(Symmetry)d(and)j(Exact)g(Solutions)f(of)h(the)h(Multidimensional)34 b(Nonlinear)181 1288 y(d'Alem)m(b)s(ert)h(Equation)96 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)99 b(336)0 1472 y Fg(L.M.)42 b(BERK)m(O)m(VICH.)d Ff(The)f(Metho)s(d)h(of)f(an)h(Exact)e (Linearization)f(of)181 1622 y Fe(n)p Ff(-order)h(Ordinary)g (Di\013eren)m(tial)g(Equations)106 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)108 b(341)0 1807 y Fg(V.F.)42 b(K)m(O)m(V)-12 b(ALEV.)39 b Ff(Group)f(and)g(Renormgroup)e(Symmetry)f(of)j(Quasi-)181 1956 y(Chaplygin)e(Media)97 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)98 b(351)0 2141 y Fg(R.)42 b(GAID)m(A)g(and)g(V.)f(TRETY)-9 b(AK.)120 b Ff(Symmetries)34 b(of)39 b(the)f(F)-10 b(okk)m(er-T)m(yp)s (e)181 2290 y(Relativistic)36 b(Mec)m(hanics)i(in)h(V)-10 b(arious)37 b(F)-10 b(orms)37 b(of)i(Dynamics)94 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)97 b(357)0 2475 y Fg(A.)42 b(DUVIR)-9 b(Y)g(AK.)39 b Ff(Symmetries)34 b(of)39 b(the)f(Relativistic)e(Tw)m(o-P)m(article)f(Mo)s(del)181 2625 y(with)i(Scalar-V)-10 b(ector)36 b(In)m(teraction)94 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)97 b(372)0 2810 y Fg(V.I.)42 b(ZHD)m(ANO)m(V.)c Ff(Relativistic)e(Tw)m (o-Bo)s(dy)g(Problem:)49 b(Existence)38 b(and)181 2959 y(Uniqueness)g(of)h(Tw)m(o-Sided)e(Solutions)g(to)h(F)-10 b(unctional-Di\013eren)m(tial)181 3109 y(Equations)37 b(of)h(Motion)111 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)113 b(379)0 3293 y Fg(S.P.)42 b(ONUFRIICHUK)f(and)g(O.I.)g(PR)-9 b(YL)g(YPK)m(O.)40 b Ff(Symmetry)35 b(of)j(a)h(Tw)m(o-)181 3443 y(P)m(article)d(Equation)g(for)i(P)m(arastates)94 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)97 b(385)0 3628 y Fg(S.P.)42 b(ONUFRIICHUK)f(and)g(O.I.)g(PR)-9 b(YL)g(YPK)m(O.)40 b Ff(On)f(Symmetry)c(of)181 3777 y(the)j (Generalized)f(Breit)h(Equation)92 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)95 b(388)0 3962 y Fg(G.A.)42 b(K)m(OTEL'NIK)m(O)m(V.)c Ff(Nonlinear)e(Maxw)m(ell)h(Equations)88 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)90 b(391)0 4147 y Fg(L.B.)42 b(TUR)m(O)m(VSKA)-9 b(Y)g(A.)38 b Fd(\003)p Ff(-Represen)m(tations)e(of)j(the)f(Quan)m(tum)f(Algebra) 181 4296 y Fe(U)261 4314 y Fc(q)304 4296 y Ff(\()p Fe(sl)s Ff(\(3\)\))99 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)102 b(396)0 4481 y Fg(Y)-9 b(u.I.)41 b(SAMOILENK)m(O,)g(Y)-9 b(u.M.)41 b(MAL)-9 b(YUT)g(A)42 b(and)f(N.N.)g(AKSENO)m(V.)181 4631 y Ff(Three-Generation)36 b(Distler-Kac)m(hru)g(Mo)s(dels)102 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)102 b(402)0 4816 y Fg(V.A.)41 b(TYCHYNIN.)80 b Ff(Nonlo)s(cal)37 b(Symmetry)e(of)j(Nonlinear)e(W)-10 b(a)m(v)m(e)181 4965 y(Equations)97 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)100 b(409)p eop %%Page: 7 7 7 6 bop 0 171 a Fg(V.)42 b(REPET)-9 b(A.)81 b Ff(Conditional)36 b(and)i(Lie)h(Symmetry)c(of)j(Nonlinear)e(W)-10 b(a)m(v)m(e)181 320 y(Equation)94 b(.)18 b(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)97 b(414)0 505 y Fg(I.)42 b(REVENK)m(O.)81 b Ff(On)39 b(Exact)e(Solutions)g(of)i(the)f(Loren)m (tz-Maxw)m(ell)181 654 y(Equations)97 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)100 b(417)0 839 y Fg(N.)42 b(VIR)m(CHENK)m(O.)80 b Ff(On)39 b(Some)e(Generalized)g (Symmetric)e(In)m(tegral)181 989 y(Op)s(erators)i(of)h(Busc)m (hman-Erdelyi's)d(T)m(yp)s(e)101 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)102 b(421)0 1174 y Fg(A.M.)41 b(GA)-12 b(VRILIK)43 b(and)e(N.Z.)g(IOR)m(GO) m(V.)e Ff(Multiparameter)c(Deformations)181 1323 y(of)j(the)h(Algebra)e Fe(g)t(l)1050 1341 y Fc(n)1143 1323 y Ff(in)h(T)-10 b(erms)37 b(of)i(An)m(y)m(onic)e(Oscillators)91 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)95 b(426)0 1508 y Fg(V.)42 b(MAR)m(CHENK)m(O.)c Ff(On)h(Symmetry)c(Reduction)j(of)g(Nonlinear)181 1657 y(Generalization)d(of)j(the)h(Heat)f(Equation)90 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)93 b(432)0 1842 y Fg(O.)41 b(R)m(OMAN.)81 b Ff(Symmetry)34 b(Analysis)k(of)g(the)h (Multidimensional)34 b(P)m(olyw)m(a)m(v)m(e)181 1992 y(Equation)94 b(.)18 b(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)97 b(435)0 2176 y Fg(H.)42 b(POPO)m(VYCH.)80 b Ff(On)39 b(Reduction)f(of)g(the)h(Euler)e(Equations)g(b)m(y)i(Means)g (of)181 2326 y(Tw)m(o-Dimensional)34 b(Algebras)102 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) 105 b(441)0 2511 y Fg(Lud.)54 b(BARANNYK.)38 b Ff(Symmetry)d(Reduction) j(for)g(a)g(System)g(of)g(Nonlinear)181 2660 y(Ev)m(olution)e (Equations)87 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)90 b(447)0 2845 y Fg(S.)41 b(A)m(GAF)m(ONO)m(V.)e Ff(Application)d(of)i (Di\013eren)m(tial)f(F)-10 b(orms)38 b(to)g(Construction)181 2995 y(of)g(Nonlo)s(cal)f(Symmetries)103 b(.)19 b(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)108 b(453)0 3179 y Fg(A.A.)41 b(BOR)m(GHARDT,)i(D.Y)-9 b(a.)53 b(KARPENK)m(O)42 b(and)g(N.Y)-9 b(u.)53 b(NOSENK)m(O.)181 3329 y Ff(F)-10 b(undamen)m(tal)36 b(Solutions)h(of)h(the)h(Axial)e (Symmetric)d(Goursat)181 3478 y(Problem)85 b(.)19 b(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)89 b(458)0 3663 y Fg(M.I.)41 b(SHKIL',)h(P.F.)g(SAMUSENK)m(O.)c Ff(Deriv)-7 b(ation)37 b(of)h(asymptotical)181 3813 y(form)m(ulas)d (for)j(resolution)e(of)j(systems)e(of)h(differen)m(tial)e(equations)h (with)181 3962 y(symmetrical)c(matrices)91 b(.)19 b(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)94 b(463)0 4147 y Fg(P.V.)42 b(MARK)m(O.)c Ff(On)h(the)g(ten)g (classes)f(of)h(scale-in)m(v)-7 b(arian)m(t)35 b(nonlinear)i(w)m(a)m(v) m(e)181 4296 y(equations)g(for)h(v)m(ector)f(fields)108 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)109 b(468)0 4481 y Fg(I.)42 b(FEDOR)m(CHUK.)81 b Ff(Symmetry)35 b(Reduction)i(and)i(Exact)f(Solutions)e(of)181 4631 y(the)i(Eik)m(onal)f(Equation)90 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)g (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)93 b(474)0 4816 y Fg(M.)42 b(SER)m(O)m(V)-12 b(A.)38 b Ff(Symmetry)d(Prop) s(erties)i(of)h(Generalized)f(Gas)i(Dynamics)181 4965 y(Equations)97 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)100 b(478)p eop %%Page: 8 8 8 7 bop 393 182 a Fi(V)-13 b(olume)106 b Fh(4)452 b(1997)376 b Fi(Num)l(b)t(ers)106 b Fh(1{2)1511 497 y(Con)-5 b(ten)g(ts)0 812 y Fg(G.A.)42 b(GOLDIN.)e Ff(Gauge)e(T)-10 b(ransformations)33 b(for)38 b(a)h(F)-10 b(amily)36 b(of)j(Nonlinear)181 961 y(Sc)m(hr\177)-59 b(odinger)36 b(Equations)93 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)96 b(6)0 1147 y Fg(T.L.)42 b(GILL,)h(J.)f(LINDESA)-9 b(Y,)42 b(M.F.)f(MAHMOOD)g(and)h(W.W.)f(ZA)m (CHAR)-9 b(Y.)181 1296 y Ff(Prop)s(er-Time)35 b(Relativistic)h (Dynamics)h(and)h(the)h(F)-10 b(ushc)m(h)m(yc)m(h-Sh)m(telen)181 1445 y(T)g(ransformation)88 b(.)19 b(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)94 b(12)0 1631 y Fg(G.)42 b(SVETLICHNY.)c Ff(Symmetries)d(of)k(Separating)d(Nonlinear)g(Sc)m(hr\177)-59 b(odinger)181 1780 y(Equations)100 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)103 b(28)0 1965 y Fg(V.A.)41 b(D)m(ANYLENK)m(O)h(and)f(V.A.)h(VLADIMIR)m(O)m(V.)d Ff(On)g(the)g(Self-Similar)181 2115 y(Solutions)e(of)h(Generalized)f (Hydro)s(dynamics)f(Equations)g(and)j(Nonlinear)181 2264 y(W)-10 b(a)m(v)m(e)38 b(P)m(atterns)85 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)87 b(36)0 2449 y Fg(W.)41 b(FUSHCHYCH)g(and)g(I.)h(TSYFRA.)d Ff(On)g(New)f(Galilei-)f(and)h(P)m (oincare-)181 2599 y(In)m(v)-7 b(arian)m(t)36 b(Nonlinear)h(Equations)g (for)h(Electromagnetic)33 b(Field)97 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h (.)97 b(44)0 2784 y Fg(R.Z.)42 b(ZHD)m(ANO)m(V.)c Ff(On)h(In)m (tegration)d(of)i(the)h(Nonlinear)d(d'Alem)m(b)s(ert-Eik)m(onal)180 2934 y(System)g(and)i(Conditional)c(Symmetry)g(of)k(Nonlinear)d(W)-10 b(a)m(v)m(e)38 b(Equations)150 b(49)0 3119 y Fg(A.V.)41 b(SHAPO)m(V)-12 b(ALO)m(V)41 b(and)h(I.V.)f(SHIR)m(OK)m(O)m(V.)d Ff(F)-10 b(unctional)38 b(Algebras)181 3268 y(and)g(Dimensional)e (Reduction)i(in)h(the)f(LPDEs)h(In)m(tegration)d(Problem)102 b(.)j(62)0 3454 y Fg(U.)42 b(KEN.)d Ff(V)-10 b(ariational)34 b(Symmetry)h(in)k(Non-in)m(tegrable)c(Hamiltonian)181 3603 y(Systems)99 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)101 b(69)0 3788 y Fg(L.)42 b(BARANNYK)g(and)83 b(H.)41 b(LAHNO.)e Ff(The)g(Symmetry)34 b(Reduction)k(of)181 3938 y(Nonlinear)e(Equations)h(of)h(the)h(T)m(yp)s (e)f Fb(2)p Fe(u)27 b Ff(+)f Fe(F)16 b Ff(\()p Fe(u;)2464 3934 y(u)2476 4011 y Fa(1)2530 3938 y Ff(\))p Fe(u)2643 3956 y Fa(0)2721 3938 y Ff(=)33 b(0)39 b(to)181 4114 y(Ordinary)e(Di\013eren)m(tial)f(Equations)111 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)113 b(78)0 4300 y Fg(R.Y)-9 b(a.)54 b(MA)-9 b(TSYUK.)37 b Ff(Symmetries)e(of)j(V)-10 b(ector)38 b(Exterior)e(Di\013eren)m(tial) 181 4449 y(Systems)h(and)i(the)f(In)m(v)m(erse)h(Problem)c(in)k (Second-Order)f(Ostrograds'kii)181 4598 y(Mec)m(hanics)95 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)96 b(89)0 4784 y Fg(A.)42 b(ANDREYTSEV.)d Ff(Conditional)c (Symmetry)g(and)j(Exact)g(Solutions)f(of)181 4933 y(a)h(Nonlinear)f (Galilei-In)m(v)-7 b(arian)m(t)34 b(Spinor)k(Equation)86 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)89 b(98)0 5118 y Fg(A.F.)42 b(BARANNYK)g(and)83 b(Y)-9 b(u.D.)41 b(MOSKALENK)m(O.)d Ff(Symmetry)d(Reduction)142 5268 y(of)j(P)m(oincar)m(\023)-55 b(e-In)m(v)-7 b(arian)m(t)33 b(Nonlinear)k(W)-10 b(a)m(v)m(e)38 b(Equations)87 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)89 b(102)p eop %%Page: 9 9 9 8 bop 0 171 a Fg(R.M.)42 b(CHERNIHA.)d Ff(New)f(Spherically)e (Symmetric)f(Solutions)i(of)181 320 y(Nonlinear)f(Sc)m(hr\177)-59 b(odinger)37 b(Equations)101 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)104 b(107)0 505 y Fg(P.)42 b(MYR)m(ONYK)83 b(and)41 b(N.)h(BUBENCHIK)m(O)m(V)-12 b(A.)38 b Ff(Conditional)e(In)m (v)-7 b(ariance)181 654 y(and)38 b(Exact)g(Solutions)f(of)h(a)h (Nonlinear)d(System)100 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)102 b(114)0 839 y Fg(Y.)42 b(Y)-9 b(AREMK)m(O.)38 b Ff(Con)m(tact)f(T)-10 b(ransformations)34 b(in)k(Classical)f(Mec)m(hanics)101 b(.)18 b(.)103 b(117)0 1024 y Fg(W.)41 b(FUSHCHYCH)g(and)g(V.)h(BO)m (YK)m(O.)c Ff(Con)m(tin)m(uit)m(y)e(Equation)g(in)181 1174 y(Nonlinear)g(Quan)m(tum)h(Mec)m(hanics)h(and)h(the)f(Galilei)f (Relativit)m(y)181 1323 y(Principle)99 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)102 b(124)0 1508 y Fg(I.I.)42 b(YUR)-9 b(YK.)38 b Ff(Reduction)g(and)h(Some)e (Exact)h(Solutions)f(of)h(the)g(Multi-)181 1657 y(dimensional)d (Liouville)i(Equation)99 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)102 b(129)0 1842 y Fg(V.)42 b(STOHNY.)37 b Ff(Symmetry)e(Prop)s(erties)i(and)h(Exact)g(Solutions)f(of)181 1992 y(the)h(F)-10 b(okk)m(er-Planc)m(k)37 b(Equation)99 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)102 b(132)0 2176 y Fg(A.)42 b(V)m(OR)m(OBYO)m(V)-12 b(A.)38 b Ff(Conditional)d(Symmetry)g(of)j(Equations)f(of)181 2326 y(Nonstationary)e(Filtration)g(and)k(of)f(the)h(Nonlinear)d(Heat)i (Equation)93 b(.)18 b(.)96 b(137)0 2511 y Fg(I.A.)42 b(MISHCHENK)m(O.)37 b Ff(The)i(Algebra)e Fe(A)1930 2481 y Ff(~)1904 2511 y Fe(P)f Ff(\(1)p Fe(;)20 b Ff(3\))37 b(In)m(v)-7 b(arian)m(ts)37 b(and)h(Their)181 2660 y(Application)e(to)i (the)g(Theory)g(of)g(Born-Infeld)g(Field)108 b(.)19 b(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)109 b(141)0 2845 y Fg(O.)41 b(LEIBO)m(V.)f Ff(Reduction)e(and)g(Exact)g(Solutions)f (of)h(the)h(Monge-Amp)s(ere)181 2995 y(Equation)94 b(.)18 b(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)97 b(146)0 3179 y Fg(V.)42 b(POPO)m(VYCH.)c Ff(On)h(Classes)f(of)g (Lie)h(Solutions)e(of)h(MHD)i(Equations,)181 3329 y(Expressed)e(via)g (the)h(General)e(Solution)g(of)h(the)h(Heat)f(Equation)99 b(.)19 b(.)f(.)h(.)f(.)h(.)102 b(149)0 3514 y Fg(V.)42 b(SMALIJ.)d Ff(On)g(the)f(Symmetry)d(of)k(Some)e(Nonlinear)f (Generalization)181 3663 y(of)i(a)h(V)-10 b(ector)37 b(Subsystem)h(of)g(the)h(Maxw)m(ell)d(Equations)110 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)112 b(152)0 3848 y Fg(V.I.)42 b(SOK)m(OLO)m(V.)37 b Ff(A)i(Mo)s(del)g(of)f (Con)m(trol)e(of)i(an)h(Equation)e(for)181 3997 y(Tw)m(o-Electron)e(In) m(teraction)93 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)96 b(155)0 4182 y Fg(V.)42 b(TRETY)-9 b(AK)41 b(and)g(V.)h(SHPYTK)m(O.)c Ff(On)h(Relativistic)d (Mass)j(Sp)s(ectra)f(of)181 4332 y(a)g(Tw)m(o-P)m(article)d(System)107 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)g(.)f(.)h(.)109 b(161)0 4517 y Fg(V.I.)42 b(LEHEN'KYJ.)d Ff(P)m(oin)m(t)e(Symmetries)e(of)j(Con)m(trolled)e 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y(Magnetic)g(In)m(teraction)102 b(.)18 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)105 b(206)0 1842 y Fg(A.V.)41 b(VINOGRADSKA)-9 b(Y)g(A.)39 b Ff(Tw)m(o-P)m(oin)m(t)c(Boundary)j (Optimization)181 1992 y(Problem)e(for)h(Bilinear)g(Con)m(trol)f (Systems)110 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)113 b(209)0 2176 y Fg(V.I.)42 b(ZHD)m(ANO)m(V)83 b(and)f(P.V.)42 b(TIT)-9 b(ARENK)m(O.)39 b Ff(One-Dimensional)181 2326 y(Discon)m(tin)m(uous)e(Flo)m(ws)h(in)g(Relativistic)e(Magnetoh)m(ydro) s(dynamics)108 b(.)18 b(.)h(.)113 b(214)0 2511 y Fg(A.A.)41 b(BOR)m(GHARDT)i(and)e(D.Y)-9 b(a.)54 b(KARPENK)m(O.)39 b Ff(Radiativ)m(e)d(F)-10 b(riction)181 2660 y(in)38 b(the)h(Loren)m(tz-Dirac)e(Equation)f(and)j(its)f(Decomp)s(osition)e (in)181 2810 y(the)i(In)m(teraction)f(Constan)m(t)106 b(.)19 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(of)h(App)s(earance)g(of)g(P)m(erio)s(dic)f(and)181 3962 y(Chaotic)f(Mo)s(des)k(in)e(a)h(Mo)s(del)g(with)e(Con)m(trol)f(o)m(v)m (er)i(Biosyn)m(thetic)181 4111 y(Pro)s(cesses)88 b(.)19 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h (.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f (.)90 b(241)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF