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Meleshko, Sergey V.

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Author ID: meleshko.sergey-v Recent zbMATH articles by "Meleshko, Sergey V."
Published as: Meleshko, S. V.; Meleshko, Sergey V.; Meleshko, Sergey V; Meleshko, Sergey
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Serials

23 Communications in Nonlinear Science and Numerical Simulation
9 Journal of Applied Mechanics and Technical Physics
6 Mathematical Methods in the Applied Sciences
5 Journal of Applied Mathematics and Mechanics
5 Journal of Nonlinear Mathematical Physics
5 Journal of Physics A: Mathematical and Theoretical
4 Journal of Physics A: Mathematical and General
4 Continuum Mechanics and Thermodynamics
4 Nonlinear Dynamics
3 Journal of Mathematical Analysis and Applications
3 Soviet Mathematics. Doklady
3 Prikladnaya Mekhanika i Tekhnicheskaya Fizika
2 Prikladnaya Matematika i Mekhanika
2 Applied Mathematics and Computation
2 Doklady Mathematics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Archives of Mechanics
1 International Journal of Non-Linear Mechanics
1 Journal of Engineering Mathematics
1 Physics Letters. A
1 Differentsial’nye Uravneniya
1 Differential Equations
1 Mathematics and Computers in Simulation
1 Siberian Mathematical Journal
1 Applied Mathematics Letters
1 Applied Mathematical Modelling
1 Soviet Physics. Doklady
1 Advances in Mathematical Sciences and Applications
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Vychislitel’nye Tekhnologii
1 Far East Journal of Applied Mathematics
1 East-West Journal of Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Thai Journal of Mathematics
1 Lecture Notes in Physics
1 Mathematical Modelling of Natural Phenomena
1 Kinetic and Related Models
1 ISRN Mathematical Analysis
1 Mathematical and Analytical Techniques with Applications to Engineering

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 648 times in 323 Documents Cited by Year
CRC handbook of Lie group analysis of differential equations. Vol. 3: New trends in theoretical development and computational methods. Incl. 1 disk. Zbl 0864.35003
72
1996
Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering. Zbl 1081.35001
Meleshko, S. V.
60
2005
Symmetries of integro-differential equations. With applications in mechanics and plasma physics. Zbl 1203.45006
Grigoriev, Yurii N.; Ibragimov, Nail H.; Kovalev, Vladimir F.; Meleshko, Sergey V.
55
2010
Linearization of third-order ordinary differential equations by point and contact transformations. Zbl 1082.34003
Ibragimov, Nail H.; Meleshko, Sergey V.
40
2005
Group classification of the equations of two-dimensional motions of a gas. Zbl 0890.76071
Meleshko, S. V.
23
1994
Linearization of fourth-order ordinary differential equations by point transformations. Zbl 1151.34029
Ibragimov, Nail H.; Meleshko, Sergey V.; Suksern, Supaporn
20
2008
On linearization of third-order ordinary differential equations. Zbl 1118.34034
Meleshko, Sergey V.
18
2006
On the complete group classification of the reaction-diffusion equation with a delay. Zbl 1138.35091
Meleshko, S. V.; Moyo, S.
15
2008
On the definition of an admitted Lie group for stochastic differential equations. Zbl 1118.35080
Srihirun, Boonlert; Meleshko, Sergey V.; Schulz, Eckart
15
2007
Linearization of second-order ordinary differential equations by generalized Sundman transformations. Zbl 1223.34056
Nakpim, Warisa; Meleshko, Sergey V.
14
2010
Generalization of the equivalence transformations. Zbl 1044.58508
Meleshko, S. V.
13
1996
Application of the generalised Sundman transformation to the linearisation of two second-order ordinary differential equations. Zbl 1362.34007
Moyo, Sibusiso; Meleshko, Sergey V.
12
2011
Reduction procedure and generalized simple waves for systems written in Riemann variables. Zbl 1015.35067
Manganaro, Natale; Meleshko, Sergey
12
2002
Linearization of third-order ordinary differential equations by generalized Sundman transformations: the case. Zbl 1222.34003
Nakpim, W.; Meleshko, S. V.
11
2010
On the definition of an admitted Lie group for stochastic differential equations with multi-Brownian motion. Zbl 1108.65006
Srihirun, B.; Meleshko, S. V.; Schulz, E.
11
2006
On definition of an admitted Lie group for functional differential equations. Zbl 1045.34046
Tanthanuch, J.; Meleshko, S. V.
10
2004
Group classification of second-order delay ordinary differential equations. Zbl 1221.34169
Pue-On, P.; Meleshko, S. V.
10
2010
A particular class of partially invariant solutions of the Navier-Stokes equations. Zbl 1098.76059
Meleshko, Sergey V.
9
2004
Complete group classification of systems of two linear second-order ordinary differential equations. Zbl 1334.34082
Moyo, S.; Meleshko, S. V.; Oguis, G. F.
9
2013
Comment on “Symmetry breaking of systems of linear second-order ordinary differential equations with constant coefficients”. Zbl 1234.34027
Meleshko, Sergey V.
8
2011
Conditions for linearization of a projectable system of two second-order ordinary differential equations. Zbl 1173.34302
Sookmee, Sakka; Meleshko, Sergey V.
7
2008
Complete group classification of systems of two linear second-order ordinary differential equations: the algebraic approach. Zbl 1338.34076
Mkhize, T. G.; Moyo, S.; Meleshko, S. V.
7
2015
On the complete group classification of the one-dimensional nonlinear Klein-Gordon equation with a delay. Zbl 1343.76060
Long, Feng-Shan; Meleshko, S. V.
7
2016
On a vibrational boundary value problem. Zbl 0642.34016
Meleshko, S. V.; Pokornyj, Yu. V.
7
1987
One class of partially invariant solutions to the Navier-Stokes equations. Zbl 0934.35116
Meleshko, S. V.; Pukhnachev, V. V.
7
1999
Analysis of the one-dimensional Euler-Lagrange equation of continuum mechanics with a Lagrangian of a special form. Zbl 1481.76008
Kaptsov, E. I.; Meleshko, S. V.
7
2020
On first integrals of second-order ordinary differential equations. Zbl 1360.34024
Meleshko, S. V.; Moyo, S.; Muriel, C.; Romero, J. L.; Guha, P.; Choudhury, A. G.
6
2013
Nonisentropic solutions of simple wave type of the gas dynamics equations. Zbl 1362.76047
Meleshko, Sergey V.; Shapeev, Vasilii P.
6
2011
Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations. Zbl 1221.34105
Suksern, S.; Meleshko, S. V.; Ibragimov, N. H.
6
2009
Homogeneous autonomous systems with three independent variables. Zbl 0923.76272
Meleshko, S. V.
6
1994
Group analysis of kinetic equations. Zbl 0838.35101
Grigoriev, Yu. N.; Meleshko, S. V.
6
1995
Group theoretical analysis of kinetic Boltzmann equation and its models. Zbl 0747.76077
Grigor’ev, Yu. N.; Meleshko, S. V.
5
1990
On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients. Zbl 1316.34014
Meleshko, S. V.; Moyo, S.; Oguis, G. F.
5
2014
Invariants of linear parabolic differential equations. Zbl 1130.35074
Ibragimov, N. H.; Meleshko, S. V.; Thailert, E.
5
2008
Symmetry analysis of the nonlinear two-dimensional Klein-Gordon equation with a time-varying delay. Zbl 1368.76058
Long, Feng-Shan; Meleshko, S. V.
4
2017
Group analysis of evolutionary integro-differential equations describing nonlinear waves: the general model. Zbl 1223.35028
Ibragimov, Nail H.; Meleshko, Sergey V.; Rudenko, Oleg V.
4
2011
Group classification of two-dimensional steady viscous gas dynamics equations with arbitrary state equations. Zbl 1031.76042
Meleshko, Sergey V.
4
2002
Rotationally invariant and partially invariant flows of a viscous incompressible fluid and a viscous gas. Zbl 1031.76041
Hematulin, A.; Meleshko, S. V.
4
2002
Differential constraints and one-parameter Lie-Bäcklund transformation groups. Zbl 0542.35014
Meleshko, S. V.
4
1983
Application of group analysis to classification of systems of three second-order ordinary differential equations. Zbl 1344.34047
Suksern, S.; Moyo, S.; Meleshko, S. V.
4
2015
The method of differential constraints and the problem of decay of an arbitrary discontinuity. Zbl 0465.35061
Meleshko, S. V.; Shapeev, V. P.; Yanenko, N. N.
4
1980
Group classification of one-dimensional equations of fluids with internal inertia. Zbl 1388.76323
Hematulin, Apichai; Meleshko, Sergey V.; Gavrilyuk, Sergey L.
4
2007
Traveling waves and self-similar solutions in model of free non-isothermal liquid film. Zbl 1238.34091
Meleshko, S. V.; Pukhnachev, V. V.; Pukhnacheva, T. P.
3
2009
Applications of group analysis to the three-dimensional equations of fluids with internal inertia. Zbl 1221.76174
Siriwat, Piyanuch; Meleshko, Sergey V.
3
2008
A solution to the problem of invariants for parabolic equations. Zbl 1221.35025
Ibragimov, N. H.; Meleshko, S. V.
3
2009
Classification of invariant solutions of the Boltzmann equation. Zbl 0962.82061
Grigor’ev, Yu. N.; Meleshko, S. V.; Sattayatham, P.
3
1999
Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term. Zbl 1334.37099
Suriyawichitseranee, A.; Grigoriev, Yu. N.; Meleshko, S. V.
3
2015
Lie group classification of first-order delay ordinary differential equations. Zbl 1397.34106
Dorodnitsyn, Vladimir A; Kozlov, Roman; Meleshko, Sergey V; Winternitz, Pavel
3
2018
Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries. Zbl 1402.34070
Dorodnitsyn, Vladimir A; Kozlov, Roman; Meleshko, Sergey V; Winternitz, Pavel
3
2018
One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: symmetry classification, conservation laws, difference schemes. Zbl 1464.82019
Dorodnitsyn, V. A.; Kozlov, Roman; Meleshko, Sergey V.
3
2019
Complete group classification of the two-dimensional shallow water equations with constant Coriolis parameter in Lagrangian coordinates. Zbl 1450.35022
Meleshko, S. V.
3
2020
Applications of tangent transformations to the linearization problem of fourth-order ordinary differential equations. Zbl 1301.34053
Suksern, S.; Meleshko, S. V.
3
2014
Generalized Riemann waves and their adjoinment through a shock wave. Zbl 1405.35148
Chaiyasena, A.; Worapitpong, W.; Meleshko, S. V.
2
2018
A new set of admitted transformations for autonomous stochastic ordinary differential equations. Zbl 1208.34095
Meleshko, Sergey V.; Schulz, Eckart
2
2010
Group classification of equations of motion of a gas in a constant force field. Zbl 1031.76547
Meleshko, S. V.
2
1996
Complete Lie group and invariant solutions of a system of Boltzmann equations of a multicomponent mixture of gases. Zbl 1042.82602
Grigor’ev, Yu. N.; Meleshko, S. V.
2
1997
On a class of partially invariant solutions describing plane gas flows. Zbl 0851.76077
Meleshko, S. V.
2
1994
Invariant and partially invariant solutions of integro-differential equations for linear thermoviscoelastic aging materials with memory. Zbl 1365.74025
Zhou, Long-Qiao; Meleshko, Sergey V.
2
2017
Group classification of two-dimensional stable viscous gas equations. Zbl 1342.76105
Meleshko, S. V.
2
1999
Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. II. Zbl 1221.34088
Ibragimov, Nail H.; Meleshko, Sergey V.
2
2008
Symmetries of population balance equations for aggregation, breakage and growth processes. Zbl 1411.82045
Lin, Fubiao; Meleshko, Sergey V.; Flood, Adrian E.
2
2017
Group analysis of the Boltzmann integrodifferential equation. Zbl 0656.76070
Grigor’ev, Yu. N.; Meleshko, S. V.
2
1987
On group classification of normal systems of linear second-order ordinary differential equations. Zbl 1366.34049
Meleshko, S. V.; Moyo, S.
2
2015
Linearization of two second-order ordinary differential equations via fiber preserving point transformations. Zbl 1241.34047
Sookmee, Sakka; Meleshko, Sergey V.
2
2011
Group analysis of the generalized Burnett equations. Zbl 1436.35019
Bobylev, Alexander V.; Meleshko, Sergey V.
2
2020
Invariant solutions of one-dimensional equations of two-temperature relaxation gas dynamics. Zbl 1448.76120
Siriwat, Piyanuch; Grigoriev, Yurii N.; Meleshko, Sergey V.
2
2020
Group classification of the two-dimensional shallow water equations with the beta-plane approximation of Coriolis parameter in Lagrangian coordinates. Zbl 1462.76141
Meleshko, Sergey V.; Samatova, N. F.
2
2020
A new approach to the group analysis of one-dimensional stochastic differential equations. Zbl 1398.60075
Abdullin, M. A.; Meleshko, S. V.; Nasyrov, F. S.
2
2014
On the equation for the power moment generating function of the Boltzmann equation. Group classification with respect to a source function. Zbl 1291.35161
Grigoriev, Yurii N.; Meleshko, Sergey V.; Suriyawichitseranee, Amornrat
2
2013
Symmetry groups of integro-differential equations for linear thermoviscoelastic materials with memory. Zbl 1451.74059
Zhou, Long-Qiao; Meleshko, Sergey V.
2
2017
On group properties of equations of motion of a viscoelastic medium. Zbl 0711.73076
Meleshko, S. V.
1
1988
Intermediate computations in analytical investigations of differential equations on a computer. Zbl 0728.65102
Ganzha, V. G.; Meleshko, S. V.; Shapeev, V. P.
1
1989
Linearization of a second-order stochastic ordinary differential equation. Zbl 1235.60068
Meleshko, Sergey V.; Schulz, Eckart
1
2011
General solution of DP-conditions for simple wave type solutions of one-dimensional gas dynamics equations. Zbl 1052.35120
Meleshko, S. V.
1
2003
A truncated Painlevé expansion associated with the Tzitzéica equation: consistency and general solution. Zbl 0996.34074
Meleshko, Sergey V.; Schief, W. K.
1
2002
Classificatin of two-dimensional isentropic gas flows of double-wave type. Zbl 0597.76069
Meleshko, S. V.
1
1985
Realization on a computer of an algorithm for studying the consistency of systems of partial differential equations. Zbl 0511.65089
Ganzha, V. G.; Meleshko, S. V.; Murzin, F. A.; Shapeev, V. P.; Yanenko, N. N.
1
1981
Symbolic manipulations in the methods of mathematical physics. Zbl 0514.68051
Valiullin, A. N.; Ganzha, V. G.; Meleshko, S. V.; Murzin, F. A.; Shapeev, V. P.; Yanenko, N. N.
1
1982
Group classification of one-dimensional nonisentropic equations of fluids with internal inertia. II: General case. Zbl 1341.58024
Siriwat, P.; Kaewmanee, C.; Meleshko, S. V.
1
2015
Group classification of one-dimensional nonisentropic equations of fluids with internal inertia. Zbl 1342.58009
Siriwat, P.; Meleshko, S. V.
1
2012
Group classification of ODE \(y'''=F(x,y,y')\). Zbl 1344.34046
Gainetdinova, A. A.; Ibragimov, N. H.; Meleshko, S. V.
1
2014
Group analysis of the Boltzmann equations for a relaxing multicomponent gas. Zbl 1046.82516
Grigor’ev, Yu. N.; Meleshko, S. V.
1
1998
The application of the differential-constraints method to the two-dimensional equations of gas dynamics. Zbl 1049.76581
Meleshko, S. V.; Shapeev, V. P.
1
1999
Group analysis of integro-differential kinetic equations. Results and perspective. Zbl 1018.45009
Grigor’ev, Yu. N.; Meleshko, S. V.
1
2002
Application of group analysis to stochastic equations of fluid dynamics. Zbl 1298.76135
Meleshko, S. V.; Sumrum, O.; Schulz, E.
1
2013
On a class of solutions of systems of quasi-linear differential equations with many independent variables. Zbl 0491.35008
Meleshko, S. V.
1
1981
A new approach related with group analysis and hodograph type transformation for constructing exact solutions. Zbl 1070.35050
Hematulin, A.; Meleshko, S. V.
1
2005
Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. I. Zbl 1129.34029
Ibragimov, Nail H.; Meleshko, Sergey V.
1
2007
Exact solutions of the Boltzmann equations with a source. Zbl 1393.35139
Grigor’ev, Yu. N.; Meleshko, S. V.; Suriyawichitseranee, A.
1
2018
Linearization criteria for systems of two second-order stochastic ordinary differential equations. Zbl 1411.34084
Mkhize, T. G.; Govinder, K.; Moyo, S.; Meleshko, S. V.
1
2017
Application of a Lie group admitted by a homogeneous equation for group classification of a corresponding inhomogeneous equation. Zbl 1459.76112
Long, Feng-Shan; Karnbanjong, Adisak; Suriyawichitseranee, Amornrat; Grigoriev, Yurii N.; Meleshko, Sergey V.
1
2017
Exact solutions of the population balance equation including particle transport, using group analysis. Zbl 1460.76881
Lin, Fubiao; Meleshko, Sergey V.; Flood, Adrian E.
1
2018
Symmetries of the shallow water equations in the Boussinesq approximation. Zbl 1456.76030
Voraka, Prakrong; Kaewmanee, Chompit; Meleshko, Sergey V.
1
2019
Group analysis of the one-dimensional gas dynamics equations in Lagrangian coordinates and conservation laws. Zbl 1451.76110
Kaewmanee, C.; Meleshko, S. V.
1
2020
Characteristic properties of the system of equations for an incompressible viscoelastic Maxwell medium. Zbl 1448.76022
Meleshko, S. V.; Petrova, A. G.; Pukhnachev, V. V.
1
2017
Group classification of one-dimensional equations of fluids with internal energy depending on the density and the gradient of the density. Zbl 1170.76347
Voraka, P.; Meleshko, S. V.
1
2009
Analysis of the one-dimensional Euler-Lagrange equation of continuum mechanics with a Lagrangian of a special form. Zbl 1481.76008
Kaptsov, E. I.; Meleshko, S. V.
7
2020
Complete group classification of the two-dimensional shallow water equations with constant Coriolis parameter in Lagrangian coordinates. Zbl 1450.35022
Meleshko, S. V.
3
2020
Group analysis of the generalized Burnett equations. Zbl 1436.35019
Bobylev, Alexander V.; Meleshko, Sergey V.
2
2020
Invariant solutions of one-dimensional equations of two-temperature relaxation gas dynamics. Zbl 1448.76120
Siriwat, Piyanuch; Grigoriev, Yurii N.; Meleshko, Sergey V.
2
2020
Group classification of the two-dimensional shallow water equations with the beta-plane approximation of Coriolis parameter in Lagrangian coordinates. Zbl 1462.76141
Meleshko, Sergey V.; Samatova, N. F.
2
2020
Group analysis of the one-dimensional gas dynamics equations in Lagrangian coordinates and conservation laws. Zbl 1451.76110
Kaewmanee, C.; Meleshko, S. V.
1
2020
One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: symmetry classification, conservation laws, difference schemes. Zbl 1464.82019
Dorodnitsyn, V. A.; Kozlov, Roman; Meleshko, Sergey V.
3
2019
Symmetries of the shallow water equations in the Boussinesq approximation. Zbl 1456.76030
Voraka, Prakrong; Kaewmanee, Chompit; Meleshko, Sergey V.
1
2019
Lie group classification of first-order delay ordinary differential equations. Zbl 1397.34106
Dorodnitsyn, Vladimir A; Kozlov, Roman; Meleshko, Sergey V; Winternitz, Pavel
3
2018
Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries. Zbl 1402.34070
Dorodnitsyn, Vladimir A; Kozlov, Roman; Meleshko, Sergey V; Winternitz, Pavel
3
2018
Generalized Riemann waves and their adjoinment through a shock wave. Zbl 1405.35148
Chaiyasena, A.; Worapitpong, W.; Meleshko, S. V.
2
2018
Exact solutions of the Boltzmann equations with a source. Zbl 1393.35139
Grigor’ev, Yu. N.; Meleshko, S. V.; Suriyawichitseranee, A.
1
2018
Exact solutions of the population balance equation including particle transport, using group analysis. Zbl 1460.76881
Lin, Fubiao; Meleshko, Sergey V.; Flood, Adrian E.
1
2018
Symmetry analysis of the nonlinear two-dimensional Klein-Gordon equation with a time-varying delay. Zbl 1368.76058
Long, Feng-Shan; Meleshko, S. V.
4
2017
Invariant and partially invariant solutions of integro-differential equations for linear thermoviscoelastic aging materials with memory. Zbl 1365.74025
Zhou, Long-Qiao; Meleshko, Sergey V.
2
2017
Symmetries of population balance equations for aggregation, breakage and growth processes. Zbl 1411.82045
Lin, Fubiao; Meleshko, Sergey V.; Flood, Adrian E.
2
2017
Symmetry groups of integro-differential equations for linear thermoviscoelastic materials with memory. Zbl 1451.74059
Zhou, Long-Qiao; Meleshko, Sergey V.
2
2017
Linearization criteria for systems of two second-order stochastic ordinary differential equations. Zbl 1411.34084
Mkhize, T. G.; Govinder, K.; Moyo, S.; Meleshko, S. V.
1
2017
Application of a Lie group admitted by a homogeneous equation for group classification of a corresponding inhomogeneous equation. Zbl 1459.76112
Long, Feng-Shan; Karnbanjong, Adisak; Suriyawichitseranee, Amornrat; Grigoriev, Yurii N.; Meleshko, Sergey V.
1
2017
Characteristic properties of the system of equations for an incompressible viscoelastic Maxwell medium. Zbl 1448.76022
Meleshko, S. V.; Petrova, A. G.; Pukhnachev, V. V.
1
2017
On the complete group classification of the one-dimensional nonlinear Klein-Gordon equation with a delay. Zbl 1343.76060
Long, Feng-Shan; Meleshko, S. V.
7
2016
Complete group classification of systems of two linear second-order ordinary differential equations: the algebraic approach. Zbl 1338.34076
Mkhize, T. G.; Moyo, S.; Meleshko, S. V.
7
2015
Application of group analysis to classification of systems of three second-order ordinary differential equations. Zbl 1344.34047
Suksern, S.; Moyo, S.; Meleshko, S. V.
4
2015
Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term. Zbl 1334.37099
Suriyawichitseranee, A.; Grigoriev, Yu. N.; Meleshko, S. V.
3
2015
On group classification of normal systems of linear second-order ordinary differential equations. Zbl 1366.34049
Meleshko, S. V.; Moyo, S.
2
2015
Group classification of one-dimensional nonisentropic equations of fluids with internal inertia. II: General case. Zbl 1341.58024
Siriwat, P.; Kaewmanee, C.; Meleshko, S. V.
1
2015
On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients. Zbl 1316.34014
Meleshko, S. V.; Moyo, S.; Oguis, G. F.
5
2014
Applications of tangent transformations to the linearization problem of fourth-order ordinary differential equations. Zbl 1301.34053
Suksern, S.; Meleshko, S. V.
3
2014
A new approach to the group analysis of one-dimensional stochastic differential equations. Zbl 1398.60075
Abdullin, M. A.; Meleshko, S. V.; Nasyrov, F. S.
2
2014
Group classification of ODE \(y'''=F(x,y,y')\). Zbl 1344.34046
Gainetdinova, A. A.; Ibragimov, N. H.; Meleshko, S. V.
1
2014
Complete group classification of systems of two linear second-order ordinary differential equations. Zbl 1334.34082
Moyo, S.; Meleshko, S. V.; Oguis, G. F.
9
2013
On first integrals of second-order ordinary differential equations. Zbl 1360.34024
Meleshko, S. V.; Moyo, S.; Muriel, C.; Romero, J. L.; Guha, P.; Choudhury, A. G.
6
2013
On the equation for the power moment generating function of the Boltzmann equation. Group classification with respect to a source function. Zbl 1291.35161
Grigoriev, Yurii N.; Meleshko, Sergey V.; Suriyawichitseranee, Amornrat
2
2013
Application of group analysis to stochastic equations of fluid dynamics. Zbl 1298.76135
Meleshko, S. V.; Sumrum, O.; Schulz, E.
1
2013
Group classification of one-dimensional nonisentropic equations of fluids with internal inertia. Zbl 1342.58009
Siriwat, P.; Meleshko, S. V.
1
2012
Application of the generalised Sundman transformation to the linearisation of two second-order ordinary differential equations. Zbl 1362.34007
Moyo, Sibusiso; Meleshko, Sergey V.
12
2011
Comment on “Symmetry breaking of systems of linear second-order ordinary differential equations with constant coefficients”. Zbl 1234.34027
Meleshko, Sergey V.
8
2011
Nonisentropic solutions of simple wave type of the gas dynamics equations. Zbl 1362.76047
Meleshko, Sergey V.; Shapeev, Vasilii P.
6
2011
Group analysis of evolutionary integro-differential equations describing nonlinear waves: the general model. Zbl 1223.35028
Ibragimov, Nail H.; Meleshko, Sergey V.; Rudenko, Oleg V.
4
2011
Linearization of two second-order ordinary differential equations via fiber preserving point transformations. Zbl 1241.34047
Sookmee, Sakka; Meleshko, Sergey V.
2
2011
Linearization of a second-order stochastic ordinary differential equation. Zbl 1235.60068
Meleshko, Sergey V.; Schulz, Eckart
1
2011
Symmetries of integro-differential equations. With applications in mechanics and plasma physics. Zbl 1203.45006
Grigoriev, Yurii N.; Ibragimov, Nail H.; Kovalev, Vladimir F.; Meleshko, Sergey V.
55
2010
Linearization of second-order ordinary differential equations by generalized Sundman transformations. Zbl 1223.34056
Nakpim, Warisa; Meleshko, Sergey V.
14
2010
Linearization of third-order ordinary differential equations by generalized Sundman transformations: the case. Zbl 1222.34003
Nakpim, W.; Meleshko, S. V.
11
2010
Group classification of second-order delay ordinary differential equations. Zbl 1221.34169
Pue-On, P.; Meleshko, S. V.
10
2010
A new set of admitted transformations for autonomous stochastic ordinary differential equations. Zbl 1208.34095
Meleshko, Sergey V.; Schulz, Eckart
2
2010
Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations. Zbl 1221.34105
Suksern, S.; Meleshko, S. V.; Ibragimov, N. H.
6
2009
Traveling waves and self-similar solutions in model of free non-isothermal liquid film. Zbl 1238.34091
Meleshko, S. V.; Pukhnachev, V. V.; Pukhnacheva, T. P.
3
2009
A solution to the problem of invariants for parabolic equations. Zbl 1221.35025
Ibragimov, N. H.; Meleshko, S. V.
3
2009
Group classification of one-dimensional equations of fluids with internal energy depending on the density and the gradient of the density. Zbl 1170.76347
Voraka, P.; Meleshko, S. V.
1
2009
Linearization of fourth-order ordinary differential equations by point transformations. Zbl 1151.34029
Ibragimov, Nail H.; Meleshko, Sergey V.; Suksern, Supaporn
20
2008
On the complete group classification of the reaction-diffusion equation with a delay. Zbl 1138.35091
Meleshko, S. V.; Moyo, S.
15
2008
Conditions for linearization of a projectable system of two second-order ordinary differential equations. Zbl 1173.34302
Sookmee, Sakka; Meleshko, Sergey V.
7
2008
Invariants of linear parabolic differential equations. Zbl 1130.35074
Ibragimov, N. H.; Meleshko, S. V.; Thailert, E.
5
2008
Applications of group analysis to the three-dimensional equations of fluids with internal inertia. Zbl 1221.76174
Siriwat, Piyanuch; Meleshko, Sergey V.
3
2008
Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. II. Zbl 1221.34088
Ibragimov, Nail H.; Meleshko, Sergey V.
2
2008
On the definition of an admitted Lie group for stochastic differential equations. Zbl 1118.35080
Srihirun, Boonlert; Meleshko, Sergey V.; Schulz, Eckart
15
2007
Group classification of one-dimensional equations of fluids with internal inertia. Zbl 1388.76323
Hematulin, Apichai; Meleshko, Sergey V.; Gavrilyuk, Sergey L.
4
2007
Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. I. Zbl 1129.34029
Ibragimov, Nail H.; Meleshko, Sergey V.
1
2007
On linearization of third-order ordinary differential equations. Zbl 1118.34034
Meleshko, Sergey V.
18
2006
On the definition of an admitted Lie group for stochastic differential equations with multi-Brownian motion. Zbl 1108.65006
Srihirun, B.; Meleshko, S. V.; Schulz, E.
11
2006
Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering. Zbl 1081.35001
Meleshko, S. V.
60
2005
Linearization of third-order ordinary differential equations by point and contact transformations. Zbl 1082.34003
Ibragimov, Nail H.; Meleshko, Sergey V.
40
2005
A new approach related with group analysis and hodograph type transformation for constructing exact solutions. Zbl 1070.35050
Hematulin, A.; Meleshko, S. V.
1
2005
On definition of an admitted Lie group for functional differential equations. Zbl 1045.34046
Tanthanuch, J.; Meleshko, S. V.
10
2004
A particular class of partially invariant solutions of the Navier-Stokes equations. Zbl 1098.76059
Meleshko, Sergey V.
9
2004
General solution of DP-conditions for simple wave type solutions of one-dimensional gas dynamics equations. Zbl 1052.35120
Meleshko, S. V.
1
2003
Reduction procedure and generalized simple waves for systems written in Riemann variables. Zbl 1015.35067
Manganaro, Natale; Meleshko, Sergey
12
2002
Group classification of two-dimensional steady viscous gas dynamics equations with arbitrary state equations. Zbl 1031.76042
Meleshko, Sergey V.
4
2002
Rotationally invariant and partially invariant flows of a viscous incompressible fluid and a viscous gas. Zbl 1031.76041
Hematulin, A.; Meleshko, S. V.
4
2002
A truncated Painlevé expansion associated with the Tzitzéica equation: consistency and general solution. Zbl 0996.34074
Meleshko, Sergey V.; Schief, W. K.
1
2002
Group analysis of integro-differential kinetic equations. Results and perspective. Zbl 1018.45009
Grigor’ev, Yu. N.; Meleshko, S. V.
1
2002
One class of partially invariant solutions to the Navier-Stokes equations. Zbl 0934.35116
Meleshko, S. V.; Pukhnachev, V. V.
7
1999
Classification of invariant solutions of the Boltzmann equation. Zbl 0962.82061
Grigor’ev, Yu. N.; Meleshko, S. V.; Sattayatham, P.
3
1999
Group classification of two-dimensional stable viscous gas equations. Zbl 1342.76105
Meleshko, S. V.
2
1999
The application of the differential-constraints method to the two-dimensional equations of gas dynamics. Zbl 1049.76581
Meleshko, S. V.; Shapeev, V. P.
1
1999
Group analysis of the Boltzmann equations for a relaxing multicomponent gas. Zbl 1046.82516
Grigor’ev, Yu. N.; Meleshko, S. V.
1
1998
Complete Lie group and invariant solutions of a system of Boltzmann equations of a multicomponent mixture of gases. Zbl 1042.82602
Grigor’ev, Yu. N.; Meleshko, S. V.
2
1997
CRC handbook of Lie group analysis of differential equations. Vol. 3: New trends in theoretical development and computational methods. Incl. 1 disk. Zbl 0864.35003
72
1996
Generalization of the equivalence transformations. Zbl 1044.58508
Meleshko, S. V.
13
1996
Group classification of equations of motion of a gas in a constant force field. Zbl 1031.76547
Meleshko, S. V.
2
1996
Group analysis of kinetic equations. Zbl 0838.35101
Grigoriev, Yu. N.; Meleshko, S. V.
6
1995
Group classification of the equations of two-dimensional motions of a gas. Zbl 0890.76071
Meleshko, S. V.
23
1994
Homogeneous autonomous systems with three independent variables. Zbl 0923.76272
Meleshko, S. V.
6
1994
On a class of partially invariant solutions describing plane gas flows. Zbl 0851.76077
Meleshko, S. V.
2
1994
Group theoretical analysis of kinetic Boltzmann equation and its models. Zbl 0747.76077
Grigor’ev, Yu. N.; Meleshko, S. V.
5
1990
Intermediate computations in analytical investigations of differential equations on a computer. Zbl 0728.65102
Ganzha, V. G.; Meleshko, S. V.; Shapeev, V. P.
1
1989
On group properties of equations of motion of a viscoelastic medium. Zbl 0711.73076
Meleshko, S. V.
1
1988
On a vibrational boundary value problem. Zbl 0642.34016
Meleshko, S. V.; Pokornyj, Yu. V.
7
1987
Group analysis of the Boltzmann integrodifferential equation. Zbl 0656.76070
Grigor’ev, Yu. N.; Meleshko, S. V.
2
1987
Classificatin of two-dimensional isentropic gas flows of double-wave type. Zbl 0597.76069
Meleshko, S. V.
1
1985
Differential constraints and one-parameter Lie-Bäcklund transformation groups. Zbl 0542.35014
Meleshko, S. V.
4
1983
Symbolic manipulations in the methods of mathematical physics. Zbl 0514.68051
Valiullin, A. N.; Ganzha, V. G.; Meleshko, S. V.; Murzin, F. A.; Shapeev, V. P.; Yanenko, N. N.
1
1982
Realization on a computer of an algorithm for studying the consistency of systems of partial differential equations. Zbl 0511.65089
Ganzha, V. G.; Meleshko, S. V.; Murzin, F. A.; Shapeev, V. P.; Yanenko, N. N.
1
1981
On a class of solutions of systems of quasi-linear differential equations with many independent variables. Zbl 0491.35008
Meleshko, S. V.
1
1981
The method of differential constraints and the problem of decay of an arbitrary discontinuity. Zbl 0465.35061
Meleshko, S. V.; Shapeev, V. P.; Yanenko, N. N.
4
1980
all top 5

Cited by 311 Authors

50 Meleshko, Sergey V.
18 Popovych, Roman O.
14 Sophocleous, Christodoulos
11 Mahomed, Fazal M.
11 Moyo, Sibusiso
11 Qadir, Asghar
11 Sinelshchikov, Dmitry I.
10 Bihlo, Alexander
9 Polyanin, Andrei Dmitrievich
8 Currò, Carmela
8 Kudryashov, Nikolaĭ Alekseevich
8 Manganaro, Natale
8 Oliveri, Francesco
8 Vaneeva, Olena O.
6 Gaeta, Giuseppe
6 Oberlack, Martin
6 Tracinà, Rita
5 Aliyev, Ziyatkhan S.
5 Dorodnitsyn, Vladimir A.
5 Ghose Choudhury, Anindya
5 Grebenev, Vladimir N.
5 Guha, Partha
5 Ibragimov, Nail Hairullovich
5 Ndogmo, Jean-Claude
5 Suksern, Supaporn
4 Ali, Sajid
4 Aristov, Sergeĭ Nikolaevich
4 Borovskikh, A. V.
4 Chandrasekar, V. K.
4 De Vecchi, Francesco Carlo
4 Gao, Ben
4 Gorgone, Matteo
4 Morando, Paola
4 Najafi, Ramin
4 Platonova, Kseniya S.
4 Prosviryakov, Evgeniĭ Yur’evich
4 Schulz, Eckart
4 Senthilvelan, Murugaian
4 Siriwat, Piyanuch
4 Tsaousi, C.
3 Abdulwahhab, Muhammad Alim
3 Azad, Hassan
3 Burmistrova, Oksana A.
3 Campoamor-Stursberg, Rutwig
3 Dos Santos Cardoso-Bihlo, Elsa Maria
3 Huang, Dingjiang
3 Kaptsov, E. I.
3 Lakshmanan, Muthusamy
3 Lin, Fubiao
3 Lobo, Jervin Zen
3 Muriel, Concepción
3 Nass, Aminu Ma’aruf
3 Nguyen Thanh Hong
3 Oguis, G. F.
3 Opanasenko, Stanislav
3 Paliathanasis, Andronikos
3 Rostami, Yaser
3 Safdar, Muhammad
3 Shapeev, Vasiliĭ Pavlovich
3 Shapovalov, Aleksandr V.
3 Speciale, Maria Paola
3 Suriyawichitseranee, Amornrat
3 Trifonov, Andrey Yu.
3 Ugolini, Stefania
3 Valaulikar, Yeshwant Shivrai
3 Winternitz, Pavel
3 Zhao, Zhonglong
2 Adarchenko, Vladimir Anatol’evich
2 Al-Dweik, Ahmad Y.
2 Ali, Ahmed M. S.
2 Ayub, Muhammad
2 Bahrami, Fariba
2 Bobylev, Alexandre Vasiljévitch
2 Boyko, Vyacheslav M.
2 Cariñena, José F.
2 Demina, Maria V.
2 Dutt, Hina M.
2 Flood, Adrian E.
2 Fusco, Domenico
2 Golovin, Sergey V.
2 Grigor’ev, Yu. N.
2 Grishkov, Alexander Nikolaevich
2 Guliyeva, Sevinc B.
2 Halder, Amlan K.
2 Han, Bo
2 Hematulin, Apichai
2 Ivanova, Nataliya M.
2 Johnpillai, Andrew Gratien
2 Kaewmanee, Chompit
2 Kaptsov, Oleg Viktorovich
2 Karim, Zainal A. Abdul
2 Khabirov, Salavat Valeevich
2 Khalique, Chaudry Masood
2 Klebanov, Igor’ Iosifovich
2 Kruglikov, Boris S.
2 Leach, Peter Gavin Lawrence
2 Levchenko, E. A.
2 Long, Fengshan
2 Lunini, Claudia
2 Maleknejad, Khosrow
...and 211 more Authors
all top 5

Cited in 103 Serials

44 Communications in Nonlinear Science and Numerical Simulation
23 Journal of Mathematical Physics
19 Journal of Nonlinear Mathematical Physics
18 Journal of Mathematical Analysis and Applications
12 Applied Mathematics and Computation
11 Acta Applicandae Mathematicae
11 Journal of Applied Mechanics and Technical Physics
9 Nonlinear Dynamics
8 Mathematical Methods in the Applied Sciences
7 Applied Mathematics Letters
6 Theoretical and Mathematical Physics
6 Quaestiones Mathematicae
6 Journal of Applied Mathematics
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Journal of Physics A: Mathematical and Theoretical
4 Chaos, Solitons and Fractals
4 Journal of Geometry and Physics
4 Ricerche di Matematica
4 Continuum Mechanics and Thermodynamics
3 Physics Letters. A
3 Prikladnaya Matematika i Mekhanika
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Symbolic Computation
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
3 Journal of Siberian Federal University. Mathematics & Physics
2 Fluid Dynamics
2 Journal of Applied Mathematics and Mechanics
2 Journal of Engineering Mathematics
2 Journal of Differential Equations
2 Mathematics and Computers in Simulation
2 Studies in Applied Mathematics
2 Computational and Applied Mathematics
2 Abstract and Applied Analysis
2 Regular and Chaotic Dynamics
2 Doklady Physics
2 Nonlinear Analysis. Real World Applications
2 Mediterranean Journal of Mathematics
2 Boundary Value Problems
2 Mathematical Modelling of Natural Phenomena
2 Advances in Mathematical Physics
2 Computational Methods for Differential Equations
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 International Journal of Engineering Science
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Computational Physics
1 Mathematical Notes
1 Physics Reports
1 Reports on Mathematical Physics
1 Ukrainian Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 The Journal of the Indian Mathematical Society. New Series
1 Programming and Computer Software
1 Siberian Mathematical Journal
1 Applied Numerical Mathematics
1 International Journal of Mathematics
1 Applications of Mathematics
1 Applied Mathematical Modelling
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Russian Mathematics
1 Russian Journal of Mathematical Physics
1 Journal of Mathematical Sciences (New York)
1 Numerical Linear Algebra with Applications
1 Turkish Journal of Mathematics
1 Filomat
1 Journal of Lie Theory
1 Integral Transforms and Special Functions
1 Mathematical Problems in Engineering
1 Differential Equations and Dynamical Systems
1 Mathematical Physics, Analysis and Geometry
1 Fractional Calculus & Applied Analysis
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 Russian Physics Journal
1 Lobachevskii Journal of Mathematics
1 Differential Equations
1 Nonlinear Analysis. Modelling and Control
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Stochastics and Dynamics
1 Central European Journal of Mathematics
1 Thai Journal of Mathematics
1 International Journal of Geometric Methods in Modern Physics
1 Advances in Difference Equations
1 Applications and Applied Mathematics
1 Complex Analysis and Operator Theory
1 Discrete and Continuous Dynamical Systems. Series S
1 Kinetic and Related Models
1 Advances in Differential Equations and Control Processes
1 International Journal of Differential Equations
1 Symmetry
1 Asian Journal of Control
1 ISRN Mathematical Analysis
1 Arabian Journal of Mathematics
1 Journal of Mathematics
1 Journal of Linear and Topological Algebra
1 Journal of Function Spaces
...and 3 more Serials
all top 5

Cited in 37 Fields

157 Partial differential equations (35-XX)
109 Ordinary differential equations (34-XX)
75 Fluid mechanics (76-XX)
27 Global analysis, analysis on manifolds (58-XX)
26 Dynamical systems and ergodic theory (37-XX)
21 Probability theory and stochastic processes (60-XX)
18 Integral equations (45-XX)
18 Numerical analysis (65-XX)
16 Topological groups, Lie groups (22-XX)
14 Mechanics of particles and systems (70-XX)
11 Mechanics of deformable solids (74-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Operator theory (47-XX)
7 Biology and other natural sciences (92-XX)
5 Nonassociative rings and algebras (17-XX)
5 Integral transforms, operational calculus (44-XX)
5 Differential geometry (53-XX)
5 Geophysics (86-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Special functions (33-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Group theory and generalizations (20-XX)
2 Real functions (26-XX)
2 Computer science (68-XX)
2 Optics, electromagnetic theory (78-XX)
2 Quantum theory (81-XX)
2 Operations research, mathematical programming (90-XX)
1 Functions of a complex variable (30-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year