Modern Group Analysis (MOGRAN 9)

 

Polynomial Supersymmetry and Chains of Darboux Transformations for the One-Dimensional Dirac Equation

V.Bagrov, A.A.Pecheritsin, B.F.Samsonov (Tomsk State University, Tomsk, Russia)

Modulation Spaces, Appropriate Spaces to Have in Background?

J.Toft (Department of Health, Science and Mathematics, Blekinge Institute of Technology, Karlskrona, Sweden)

The Differential-Invariant Submodels

S.V.Khabirov (Differential Equations of Mechanics Laboratory, Institute of Mechanics URC RAS, Ufa, Russia)

Equivalence Classes and Symmetries of the Variable Coefficient Kadomtsev-Petviashvili Equation

F.Gungor (Department of Mathematics, Faculty of Science and Letters, Istanbul Technical University, Maslak-Istanbul, Turkey)

Invariant Equations for (1+1) Linear Parabolic Equations

F.M.Mahomed (Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa)

Group Classification of Quasilinear Evolution Equations

V.Lagno (State Pedagogical  University, Poltava, Ukraine)

Resolving Systems Reduction Possibilities in Stationary Bifurcation Theory

I.V.Konopleva, B.V.Loginov (Department of Higher Mathematics, Ulyanovsk State Technical University,  Ulyanovsk, Russia)

Explicit Solutions of Nonlinear Heat Equations

O.Kaptsov, I.V.Verevkin (Institute of Computing Modelling RAS, Academgorodok, Krasnoyarsk, Russia)

About Some Class of the Invariant Solutions of Partial Differential Equations Set

A.Kusyumov (Aerodynamics Department, Kazan State Technical University, Kazan, Russia)

Exact Solutions of the Nonlinear Schrodinger Equation with Certain Central

Z.Hassan (Department of Mathematics, Faculty of Education, University of Tanta, Kafr El-Sheikh, Egypt); A.A.Darwish (Department of Mathematics, Faculty of Science, Helwan University,Cairo, Egypt)

The Noether's Integrals in Optimal Problems of Hypersonic Aerodynamics

N.Bilchenko (Department of Special Mathematics, Kazan State Technical University, Kazan, Russia)

System of Maxwell Equations in Inhomogeneous Medium and Its Equivalents Transformations

M.V.Neshadim, M.V.Neshchadim (Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia)

Application of Lie Symmetry Analysis to Gas- and Hydrodynamics

A.Chupakhin (Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia)

Basis of Differential Invariants for Several Concrete Groups and Its Applications

S.Golovin (Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia)

Thin Films of Non-Newtonian Fluids with Jump Discontinuities

V.Chugunov, L.D.Eskin (Kazan State University, Kazan, Russia); K.Hutter (Institut fur Mechanik, Technische Universitat, Darmstadt, Germany)

The Regular Partially Invariant Submodels of the Rank Three for the Compressible Fluid

A.R.Garifullin (Theoretical Physics Department, Bashkir State Pedagogical University, Ufa, Russia)

On Symmetry Group Extension and Vorticity Conservation in Continuum Mechanics

A.Golubiatnikov (Faculty of Mechanics and Mathematics,Moscow State University, Moscow, Russia)

Evolution of the Periodic Perturbations in Absolutely Unstable Media

A.V.Aksenov (Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia)

Symmetry in Bubble Dynamics

A.O.Maksimov (V.I. Il'ichev Pacific Oceanological Institute Far East Branch, Russian Academy of Sciences, Vladivostok, Russia)

The Second Rank Invariant Submodels for the Special Compressible Fluid

V.G.Volkov (Theoretical Physics Department, Bashkir State Pedagogical University, Ufa, Russia)

Two-Dimensional Spreading of a Thin Film of Viscous Incompressible Fluid on a Horizontal Plane with Suction or Blowing

D.P.Mason, E.Momoniat (Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Wits, South Africa )

A Particular Class of Partially Invariant Solutions of the Navier-Stokes Equations

S.V.Meleshko (School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, Thailand )

Invariants for Generalised Burgers Equations

C.Sophocleous (Department of Mathematics and Statistics, University of Cyprus, Nicosia, Cyprus ); N.H.Ibragimov (Research Centre ALGA: Advances in Lie Group Analysis, Department of Health, Science and Mathematics, Blekinge Institute of Technology, Karlskrona, Sweden)

Differential Invariants for a Class of Nonlinear Wave Equations

M.Torrisi, A.Valenti (Dipartimento di Matematica e Informatica, University of Catania, Catania, Italy); N.H.Ibragimov (Research Centre ALGA: Advances in Lie Group Analysis, Department of Health, Science and Mathematics, Blekinge Institute of Technology, Karlskrona, Sweden)

Some Generalizations for the Noether Theorem: Differential and Difference Equations

V.Dorodnitsyn (Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia)

Hamilton Systems with a Small Parameter:Approximate Symmetries and First Integrals

V.Baikov (Ufa State Aviation Technical University, Ufa, Russia)

Invariant Representation of Equations with a Small Parameter

R.K.Gazizov, Yu.Yu.Bagderina (Department of High Perfomance Computing, Ufa State Aviation Technical University, Ufa, Russia)

Group Properties of Systems of Nonlinear Diffusion Equations with a Small Parameter

A.Gladkov (Ufa State Aviation Technical University, Ufa, Russia)

Symmetries of Integro-Differential Equations: Several Classical and New Illustrations

V.F.Kovalev (Institute for Mathematical Modelling RAS, Moscow, Russia); N.H.Ibragimov (Research Centre ALGA: Advances in Lie Group Analysis, Department of Health, Science and Mathematics, Blekinge Institute of Technology, Karlskrona, Sweden)

Joining of Approximate Asymptotic Groups for Some Model Examples

R.Khabibullin, I.B.Vasil'ev (Department of Mathematics, Ufa State Aviation Technical University,Ufa, Russia)

A New Method of Separation of Variables for Certain Linear Problems of Mathematical Physics

A.Shanin (Department of Acoustics, Faculty of Physics, Moscow State University, Moscow, Russia)

Scwartz-Christoffel Integrals Reducibility  to Close-to-Convex

G.Bilchenko (Department of Special Mathematics, Kazan State Technical University, Kazan, Russia)

Optimal System and Group Invariant Solutions for a Nonlinear Wave Equation

G.Maluleke, D.P.Mason (School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa )

Evolution Equations Possessing Solutions of the Finite Power Sums Type

S.R.Svirshchevskii (Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia)

On Some Class of Factorized Dynamical Systems and Their Integrability

A.K.Prykarpatsky, R.Basiura (Department of Applied Mathematics at the University of Mining and Metallurgy, Krakow, Poland)

On Some Applications of Differential Invariants of a Family of Nonlinear Wave Equations

R.Tracina' (Department of Mathematics and Informatics, University of Catania, Catania, Italy)

Group Classification of a System of Nonlinear Equations Modelling Tumour Growth

N.Safstrom, N.H.Ibragimov (Department of Health, Science and Mathematics, Blekinge Institute of Technology, Karlskrona, Sweden)

Equivalence Transformations of Maxwell Equations in Rigid Bodies

S.Ozer (Department of Engineering Sciences, ITU Faculty of Science and Letters, Istanbul Technical University, Maslak, Istanbul, Turkey); E.Suhuby (Yeditepe University Department of Mathematics, Kaydağ, Istanbul, Turkey)

Conservation Laws and Associated Symmetries for Certain Nonlinear Partial Differential Equations

C.M.Khalique (Department of Mathematical Sciences and International Institute for Symmetry Analysis and Mathematical Modeling, University of North-West, Mmabatho, South Africa)

Symmetries of Stochastic Dynamical Systems and Kolmogorov Forward and Backward Equations

G.Unal (Faculty of Sciences, Istanbul Technical University , Maslak, Istanbul, Turkey)

Symmetry Recognition of Mobile Systems

G.Yakovenko (Moscow Institute of Physics and Technolodgy, Dolgoprudny, Moscow Region, Russia )

On Applications of Group Analysis of Differential Equations in Analytical Dynamics. A Fragment of University Special Course

I.S.Yemelyanova (Nizhny Novgorod State University, Nizhny Novgorod, Russia)

On the Existence of Localized Invariant Solutions in  Relaxing Hydrodynamics Models

V.Vladimirov (Faculty of Applied Mathematics, University of Mining and Metallurgy, Cracow, Poland); S.I.Skurativskyy (Division of Geodynamics of Explosion, S.I. Subbotin Institute of Geophysics, NAS of Ukraine, Kiev, Ukraine)

On Double Waves of Homogeneous Systems of 4 Quasilinear Equations

J.Tanthanuch, S.V.Meleshko (School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, Thailand)

On Some Applications of the Nonconjugate Subgroups of the Generalized Poincare Group P(1,4)

V.M.Fedorchuk (Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of NAS of Ukraine, Lviv, Ukraine); V.I.Fedorchuk (Franko Lviv National University, Lviv, Ukraine.)

Mathematical Treatment of Exhaust Systems with Acoustic Properties Using Mathlie I. Algorithms

R.Schmid, J.Volkmann, G.Baumann (Department of Mathematical Physics, University of Ulm, Ulm, Germany)

Mathematical Treatment of Exhaus Systems with Acoustic Properties Using Mathlie II. Application

J.Volkmann, R.Schmid, G.Baumann (Department of Mathematical Physics, University of Ulm, Ulm , Germany)

Noether and Master Symmetries for the Toda Lattice

P.Damianou, C.Sophocleous (University of Cyprus, Nicosia, Cyprus)

To the Problem of Contact Symmetries Similarity for Ordinary Differential Equations

M.I.Timoshin (Faculty of Calculus, Samara State Pedagogical University, Samara, Russia)

On a Classification of Orbits for Cubic Differential Systems

M.Popa, E.Naidenova (Academy of Sciences, Institute of Mathematics and Computer Sciences, Kishinev, Moldova)

On Certain Equivalence Transformations

M.Torrisi (Department of Mathematics and Informatics, University of Catania, Catania, Italy)