The Proceedings of Fifth International Conference 
"Symmetry in Nonlinear Mathematical Physics"

Part 1

Titles (pages 1-4)

NIKITIN A.G., Preface (page 5)

Organizing Committee (page 6)

Topics (page 7)

Acknowledgements (page 8)

List of Participants (pages 9-18)

Contents (pages 19-26)

Symmetry of Differential Equations

BARANNYK A.F. and YURYK I.I., Construction of Exact Solutions of Diffusion Equation (pages 29-33)

BARANNYK T.A. and NIKITIN A.G., Solitary Wave Solutions for Heat Equations (pages 34-39)

BASARAB-HORWATH P., LAHNO V. and MAGDA O., The Structure of Lie Algebras and the Classification Problem for Partial Differential Equations (pages 40-46)

BOYKO V.M., Nonlocal Symmetry and Integrable Classes of Abel Equation (pages 47-51)

BURSKII V.P., On Equivariant Boundary Value Problems (pages 52-54)

CHANG J.H., On the Deformations of Dorfman's and Sokolov's Operator (pages 55-61)

CHERNIHA R., Non-Lie Reductions of Nonlinear Reaction-Diffusion Systems with Variable Diffusivities (pages 62-68)

CHEVIAKOV A.F., Bogoyavlenskij Symmetries of Isotropic and Anisotropic MHD Equilibria as Lie Point Transformations (pages 69-76)

CICOGNA G., A Discussion on the Different Notions of Symmetry of Differential Equations  (pages 77-84)

FEDORCHUK V.M. and FEDORCHUK V.I., On the Differential First-Order Invariants of the Non-Splitting Subgroups of the Poincar\'e Group P(1,4) (pages 85-91)

FEDORCHUK V.I., On Symmetry Reduction of Some Classes of the First-Order Differential Equations in the space $M(1,4) \times R(u)$ (pages 92-97)

GAETA G., Symmetry of Stochastic Equations (pages 98-109)

GOLOVIN S.V., Group Foliation of Euler Equations in Nonstationary Rotationally Symmetrical Case (pages 110-117)

GRUNDLAND A.M. and PICARD P., Invariant and Conditionally Invariant Solutions of Magnetohydrodynamic Equations in (3+1) Dimensions (pages 118-124)

GUNGOR F., LAHNO V. and ZHDANOV R., Symmetry Classification of KdV-Type Nonlinear Evolution Equations (pages 125-130)

HARRISON B.K., Applications of Symmetry to General Relativity (pages 131-141)

IBRAGIMOV N.H. and SOPHOCLEOUS C., Invariants for Evolution Equations (pages 142-148)

IVANOVA N.M., Conservation Laws and Potential Systems of Diffusion-Convection Equations (pages 149-152)

LAHNO V., On Realizations of the Conformal Algebra and Nonlinear Invariant Equations in Low-Dimensional Space-Time (pages 153-158)

LEACH P.G.L. and ANDRIOPOULOS K., Application of Symmetry and Symmetry Analyses to Systems of First-Order Equations Arising from Mathematical Modelling in Epidemiology (pages 159-169)

LEHENKYI V.I. and RUDOLPH J., Towards the Group Classification of Control Systems (pages 170-175)

LUTFULLIN M.W., On Integrable Systems of ODEs (pages 176-178)

MARVAN M., Recursion Operators for Vacuum Einstein Equations with Symmetries (pages 179-183)

MILLER W., KALNINS E. and POGOSYAN G., Infinite Order Symmetries for Two-Dimensional Separable Schr\"odinger Equations (pages 184-195)

MOROZOV O.I., Symmetries of Differential Equations and Cartan's Equivalence Method (pages 196-203)

MOYO S. and LEACH P.G.L., Symmetry Methods Applied to a Mathematical Model of a Tumour of the Brain (pages 204-210)

NESTERENKO M.O., Differential Invariants of Transformation Groups on the Real Plane (pages 211-213)

OZER T., On Symmetry Group Properties of the Benney Equations (pages 214-218)

POPOVYCH R.O., IVANOVA N.M. and ESHRAGHI H., Lie Symmetries  of (1+1)-Dimensional Cubic Schr\"odinger Equation with Potential (pages 219-223)

RAHULA M., Universal Structure of Jet Space (pages 224-230)

SENASHOV S.I. and YAKHNO A.N., 2-Dimensional Plasticity: Boundary Problems and Conservation Laws, Reproduction of Solutions (pages 231-237)

SERGYEYEV A., The Structure of Cosymmetries and a Simple Proof of Locality for Hierarchies of Symmetries for Odd Order Evolution Systems (pages 238-245)

SHIROKOV I.V., Application of the Orbits Method to Integration of Linear Differential Equations with Non-Commutative Symmetries (pages 246-251)

TANG X.Y. and LOU S.Y., Group Explanation for the Conditional Similarity Reductions of the (2+1)-Dimensional KdV Equation (pages 252-259)

TIMOSHIN M.I., Dynamical Symmetries of Autonomous Differential Second Order Equations (pages 260-265)

TSYFRA I., Symmetry Reduction of Nonlinear Differential Equations (pages 266-270)

TSYFRA I., MESSINA A., NAPOLI A. and TRETYNYK V., On Applications of Non-Point and Discrete Symmetries for Reduction of the Evolution-Type Equations (pages 271-276)

TYCHYNIN V. and RASIN O., Nonlocal Symmetry and Generating Solutions for the Inhomogeneous Burgers Equation (pages 277-281)

VOLKMANN J. and BAUMANN G., Symmetry Analysis of (2 + 1)-Dimensional Doebner-Goldin Equations (pages 282-289)

YEHORCHENKO I., Group Classification with Respect to Hidden Symmetry (pages 290-297)

YEHORCHENKO I. and VOROBYOVA A., Sets of Conditional Symmetry Operators and Exact Solutions for Wave and Generalised Heat Equations (pages 298-303)

ZAWISTOWSKI Z.J., Symmetries of Radial Maxwell-Vlasov Equations (pages 304-308)

Solitons and Integrability

BELOKOLOS E., Conformal Maps and Integrable Hamiltonian Structures (pages 311-318)

BERKELA Yu., Integration of Bi-Hamiltonian Systems by Using the Dressing Method (pages 319-324)

BERKOVICH L.M., New Class of Nonlinear Evolutionary Equations (pages 325-332)

BLASZAK M., Systematic Construction of Separable Systems with Quadratic in Momenta First Integrals (pages 333-340)

BOYA L.J., Asymptotic Irrelevance of the KdV Hierarchy (pages 341-347)

BURDE G.I., On the Use of the Lie-B\"acklund Groups in the Context of Asymptotic Integrability (pages 348-355)

CARROLL R., Aspects of Quantum Groups and Integrable Systems (pages 356-367)

DAMIANOU P.A., Bi-Hamiltonian Formulation of Generalized Toda Chains (pages 368-373)

DEMSKOI D.K., On Construction of Zero-Curvature Representations for Some Chiral-Type Three-Field Systems (pages 374-381)

DUBROVSKY V.G. and FORMUSATIK I.B., New Lumps of Veselov-Novikov Integrable Nonlinear Equation and New Exact Rational Potentials of Two-Dimensional Stationary Schr\"{o}dinger Equation via $\overline {\partial }$-Dressing Method (pages 382-387)

GERDJIKOV V.S. and GRAHOVSKI G.G., On $N$-Wave and NLS Type Systems: Generating Operators and the Gauge Group Action: the $so(5)$ Case (pages 388-395)

GERSHUN V.D., Nonlocal Brackets and Integrable String Models (pages 396-403)

HAMANAKA M. and TODA K., Towards Noncommutative Integrable Equations (pages 404-411)

KERSTEN P., KRASIL'SHCHIK I. and VERBOVETSKY A., Nonlocal Constructions in the Geometry of PDE (pages 412-423)

KOROSTIL A.M. and KOROSTIL I.A., On Calculation of Finite-Gap Spectra for One-Dimensional Schr\"odinger Operator (pages 424-429)

LOUTSENKO I. and YERMOLAYEVA O., Finite-Dimensional Reductions of 2D dToda Hierarchy Constrained by the String Equation (pages 430-437)

LOUTSENKO I. and YERMOLAYEVA O., Poisson Structure of Rational Reductions of the 2D dToda Hierarchy (pages 438-443)

MINESAKI Y. and NAKAMURA Y., A Conservative Numerical Integration Algorithm for Integrable Henon--Heiles System (pages 444-449)

NAKAMURA Y. and ZHEDANOV A., Toda Chain, Sheffer Class of Orthogonal Polynomials and Combinatorial Numbers (pages 450-457)

POCHYNAYKO M. and SYDORENKO Yu., Operators of Binary Darboux Transformations for Dirac's System (pages 458-461)

SKRYPNYK T.V., Quasigraded Lie Algebras and Matrix Generalization of Landau-Lifshitz Equation (pages 462-469)

SYDORENKO Yu., Generalized Binary Darboux-like Theorem for Constrained Kadomtsev-Petviashvili (cKP) Flows (pages 470-477)

SZABLIKOWSKI B.M. and BLASZAK M., Soliton Systems as $\star$-Deformed Dispersionless Equations (pages 478-485)

TAJIRI M., Relation between Periodic Soliton Resonance and Instability (pages 486-492)

VAKHNENKO V.O. and PARKES J., The Connection of the Degasperis-Procesi Equation with the Vakhnenko Equation (pages 493-497)

VALENT G., Higher Conserved Quantities for the Multi-Centre Metrics (pages 498-503)

VERNOV S.Yu., Construction of Special Solutions for Nonintegrable Dynamical Systems with the Help of the Painlev\'e Analysis (pages 504-511)

VUS A. and PIDKUYKO S., Explicitly Reducible Integrable Natural Systems with the Integral of Full Momentum (pages 512-515)

ZOLOTARYUK Y. and SALERNO M., Symmetry Breaking and AC-Driven Dynamics of Solitons (pages 516-523)