Nikitin, Anatoly - Institute of Mathematics, National Academy of Sciences of Ukraine

• W.I. Fushchych, Scientific Works 2002, Vol. 4, 97100. Merons and instantons as products
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 6874. , [1]
• .I. , i i 1999, .2, 509516. Relativistic particle of arbitrary spin
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 167175. An exhaustive analysis of the KemmerDuffin equations in five-dimensional Minkowski
• Construction and classification of indecomposable finite-dimensional representations of the homogeneous
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 199206. On the P -and T -non-invariant
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 436438. The complete sets of conservation laws
• J. Phys. A Math. Gen. 24 (1991) L1269-LI275. Printed in the UK LETTER TO THE EDITOR
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 577622. Symmetry and exact solutions
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 223235. On the new invariance algebras
• REVISTA MEXICANA DE FISICA ?? SUPLEMENTO *?*, ?????? MES? A ~NO? The many body problem in relativistic quantum mechanics
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 524538. Conditional symmetry and reduction
• Symmetry in Nonlinear Mathematical Physics 1997, V.1, 1120. Scientific Heritage of W. Fushchych
• HIGHER SYMMETRIES AND EXACT SOLUTIONS OF LINEAR AND NONLINEAR SCHRODINGER
• Ukrainian Mathematical Bulletin Volume 2 (2005), 2, 153 204 UMB
• Anatoly G. Nikitin and Roman O. Popovych
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 497505. Computer algebra application
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 488493. On the invariance groups of relativistic
• IRREDUCIBLE REPRESENTATIONS OF THE EXTENDED POINCARE PARASUPERALGEBRA
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 283294. The symmetry and some exact solutions
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 105159. The Galilei-invariant systems of partial differential equations, which describe the non-
• J. Phys. A: Math. Gen. 31 (1998) 60456055. Printed in the UK PII: S0305-4470(98)92147-3 Supermultiplets and relativistic problems: II. The Bhabha
• shown that the statistics Ki, q and Xi,q introduced in this paper are indeed measures of closeness between samples belonging to-the class of more refined differential measure of
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 126138. On representations of the inhomogeneous
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 552555. On approximate symmetry and approximate
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 366378. On one-and two-particle Galilei-invariant
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 3546. Reduction of the representations
• J. Phys. A: Math. Gen. 30 (1997) 9991010. Printed in the UK PII: S0305-4470(97)76765-9 Involutive symmetries, supersymmetries and reductions of
• Proceedings of Institute of Mathematics of NAS of Ukraine 2002, Vol. 43, Part 2, 497507 Extended SUSY with Central Charges
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 8688. On the new constants of motion for two-
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 150174. On subalgebras of the Lie algebra
• W.I. Fushchych, Scientific Works 2003, Vol. 5, 5666. Symmetry analysis and ansatzes
• POINCAR]~ INVARIANT DIFFERENTIAL EQUATIONS FOR PARTICLES OF ARBITRARY SPIN
• W.I. Fushchych, Scientific Works 2003, Vol. 5, 6775. Symmetry and exact solutions
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 494497. Conformal invariance of relativistic equations
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 485497. The Galilean relativistic principle
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 324330. On some exact solutions
• A COMPLETE SET OF SYMMETRY OPERATORS FOR THE DIRAC EQUATION A. G. Nikitin UDC 517.9:519.46
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 524527. On the new conformally invariant equations
• REDUCTION OF IRREDUCIBLE UNITARY REPRESENTATIONS OF GENERALIZED POINCARF. GROUPS WITH RESPECT TO
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 301305. On the equations of motion for particles with
• Symmetry analysis of the nonlinear Schrodinger equation
• INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL J. Phys. A: Math. Theor. 40 (2007) 533543 doi:10.1088/1751-8113/40/3/012
• CEJM 2(5) 2005 840858 Solitary wave and other solutions for nonlinear heat
• Published in Journal of Mathematical Physics, vol. 42, no. 4, pp. 1667-1688, 2001
• UCLEAR PHYSIC~ Nuclear Physics B (Proc. Suppl.) 102&103 (2001) 322-327
• Algebras of Discrete Symmetries and Supersymmetries for the Schrodinger-Pauli Equation
• Analysis of relativistic particles of arbitrary spin through different chains of groups
• Mass and spin content of a free relativistic particle of arbitrary spins and the group
• On connection between the two-body Dirac oscillator
• International Journal of Modern Physics A, Vol. 12, No. 24 (1997) 43694386 c World Scientific Publishing Company
• Nonlinear Mathematical Physics 1997, V.4, N 34, 436444. Non-Lie and Discrete Symmetries
• Higher symmetries and exact solutions of linear and nonlinear Schrodinger equation
• IRREDUCIBLE REPRESENTATIONS OF THE POINCARE PARASUPERALGEBRA 1
• Nonlinear Mathematical Physics 1995, V.2, N 34, 405415. Non-Lie Symmetries and Supersymmetries
• Nonlinear Mathematical Physics 1994, V.1, N 2, 202205. On the Weak Supersymmetry
• J. Phys. A Math. Gen. 26 (1993) L8534857. Printed in the UK LETTER TO THE EDITOR
• On supersymmetries in nonrelativistic quantum mechanics J. Beckers and N. Debergh*)
• On pararelativistic quantum oscillators J. Beckers and N. Debergha)
• J. Phys. A Math. Gen. 25 (1992) 6145-6154. Rinted in the UK Lie extended symmetries and relativistic particles
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 390399. s 2 -
• the mode with E = CFk/J~-, which in the considered model is threefold degenerate in the absence of a field [4t. LITERATURE CITED
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 165169. On the new symmetries of Maxwell equations
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 5567. The first and the second order differential equations are derived which are invariant
• 11. Y. Frishman, Phys. Rep., 13C, 1 (1974). 12. V. N. Gribov and L. N, Lipatov, Yad. Fiz., 15, 781 (1972).
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 1122. On the new invariance algebras of relativistic
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 427430. [1] -
• ADDITIONAL INVARIANCE OF THE KEMMER-DUFFIN AND RARITA-SCHWINGER EQUATIONS
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 393397. On the new invariance groups of the Dirac
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 324338. The problem of the reduction of the generalized Poincare groups P(1, n) representa-
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 310314. On the Galilean-invariant equations
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 286300. On the Poincare-invariant equations
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 270273. On the possible types of equations
• ON RELATIVISTIC EQUATIONS OF MOTION WITHOUT " REDUNDANT" COMPONENTS
• Proceedings of Institute of Mathematics of NAS of Ukraine 2004, Vol. 50, Part 1, 3439 Solitary Wave Solutions for Heat Equations
• Proceedings of Institute of Mathematics of NAS of Ukraine 2004, Vol. 50, Part 2, 569573 Symmetries and Supersymmetries
• EXTENDED POINCARE PARASUPERALGEBRA
• Proceedings of Institute of Mathematics of NAS of Ukraine 2000, Vol. 30, Part 1, 4759. Symmetries of Systems
• WIGNER INDUCED REPRESENTATIONS METHOD AND POINCARE
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 8185. On superalgebras of symmetry operators
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 359365. [1].
• INVOLUTIVE SYMMETRIES, SUPERSYMMETRIES AND REDUCTIONS OF THE DIRAC EQUATION1
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 263264. On the three types of relativistic equations
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 278281. On a motion equation for two particles
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 274277. On the additional invariance of the Dirac
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 402403. [1, 2] ,
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 331334. Conformal symmetry and new exact solutions
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 236240. On some exact solutions
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 346349. iii iii i
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 251255. On a reduction and solutions of non-linear
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 261282. On some exact solutions of a system
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 361366. Non-local ansatze for the Dirac equation
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 356360. On the reduction and some new exact
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 573576. On some new exact solutions of
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 400406. s = 1/2
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 407412. A simple method of finding solutions
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 320336. On the connection between solutions of Dirac
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 383389. On the reduction of the nonlinear
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 479485. Q-conditional symmetry
• W.I. Fushchych, Scientific Works 2003, Vol. 5, 120125. On the new approach to variable separation
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 563572. The symmetry and exact solutions
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 174177. The symmetry and some exact solutions
• W.I. Fushchych, Scientific Works 2003, Vol. 5, 7679. On nonlinear representation
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 610. On the new invariance group
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 207208. On the CP -noninvariant equations for
• EXTENDED SUPERSYMMETRIES FOR THE SCHRDINGER-PAULI EQUATION
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 431441. On the non-relativistic motion equations
• i0. R. Po Gaida, Yu. B. Klyuchkovsky, and V. I. Tretyak, "Three-dimensional Lagrangian approach to the classical relativistic dynamics of directly interacting particles,"
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 432435. New nonlinear equations for electromagnetic
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 367371. On some new exact solutions of nonlinear
• Relativistic wave equations for interacting, massive particles with arbitrary half-integer spins J. Niederle
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 498515. A theorem on the invariance of the system of Maxwell's equations under the 23-di-
• HIGHER SYMMETRIES OF THE SCHRODINGER EQUATION A. G. Nikitin, S. P. Onufriichuk,
• 23. A. G. Savinkov, Pis'ma Zh. Eksp. Teor. Fiz., 47, 13 (1988). 24. R. M. MacLean, Homological Algebra [Russian translation], Mir, Moscow (1966).
• W.I. Fushchych, Scientific Works 2002, Vol. 4, 301305. It is shown that Maxwell equations for vacuum are invariant about the Galilei trans-
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 572577. New symmetries and conservation laws
• W.I. Fushchych, Scientific Works 2003, Vol. 5, 9399. A new conformal-invariant non-linear spinor
• Symmetry in Nonlinear Mathematical Physics 1997, V.2, 321327. Higher Symmetries of the Wave Equation
• W.I. Fushchych, Scientific Works 2003, Vol. 5, 4355. i iii i i, iii i
• Supersymmetries of the Dirac equation for a charged particle interacting with electric field
• EXTENDED POINCARE PARASUPERALGEBRA WITH CENTRAL
• W.I. Fushchych, Scientific Works 2000, Vol. 2, 2834. ^L(^p)u(t, x)
• W.I. Fushchych, Scientific Works 2003, Vol. 5, 916. Conditional symmetries of the equations
• SUPERALGEBRAS OF SYMMETRY OPERATORS FOR COULOMB AND
• W.I. Fushchych, Scientific Works 2001, Vol. 3, 450467. Continuous subgroups of the generalized
• On extended supersymmetries and parasupersymmetries
• W.I. Fushchych, Scientific Works 2000, Vol. 1, 265269. P , T , C properties of the Poincare invariant
• On extended supersymmetries in quantum mechanics
• TENSOR-BISPINOR EQUATIONS FOR A.G.Nikitin1
• J. Phys. A: Math. Gen. 31 (1998) 32973300. Printed in the UK PII: S0305-4470(98)89896-X On exact FoldyWouthuysen transformation