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1

Lie point symmetries of a general class of PDEs: The heat equation

Paliathanasis, Andronikos, Tsamparlis, Michael

Journal:

Journal of Geometry and Physics

Year:

2012

Language:

english

File:

PDF, 277 KB

english, 2012

2

The geometric nature of Lie and Noether symmetries

Michael Tsamparlis, Andronikos Paliathanasis

Journal:

General Relativity and Gravitation

Year:

2011

Language:

english

File:

PDF, 233 KB

english, 2011

3

Nonlinear ordinary differential equations: A discussion on symmetries and singularities

Paliathanasis, Andronikos, Leach, P. G. L.

Journal:

International Journal of Geometric Methods in Modern Physics

Year:

2016

Language:

english

File:

PDF, 231 KB

english, 2016

4

Symmetries and singularities of the Szekeres system

Paliathanasis, Andronikos, Leach, P.G.L.

Journal:

Physics Letters A

Year:

2017

Language:

english

File:

PDF, 225 KB

english, 2017

5

Invariant solutions and Noether symmetries in hybrid gravity

Borowiec, Andrzej, Capozziello, Salvatore, De Laurentis, Mariafelicia, Lobo, Francisco S. N., Paliathanasis, Andronikos, Paolella, Mariacristina, Wojnar, Aneta

Journal:

Physical Review D

Year:

2015

Language:

english

File:

PDF, 7.55 MB

english, 2015

6

Exact solution of the Einstein–Skyrme model in a Kantowski–Sachs spacetime

Paliathanasis, Andronikos, Tsamparlis, Michael

Journal:

Journal of Geometry and Physics

Year:

2017

Language:

english

File:

PDF, 745 KB

english, 2017

7

Cosmological solutions with gravitational particle production and nonzero curvature

Paliathanasis, Andronikos, Barrow, John D., Pan, Supriya

Journal:

Physical Review D

Year:

2017

Language:

english

File:

PDF, 404 KB

english, 2017

8

cosmology with an ideal gas

Papagiannopoulos, G., Basilakos, Spyros, Barrow, John D., Paliathanasis, Andronikos

Journal:

Physical Review D

Year:

2018

Language:

english

File:

PDF, 389 KB

english, 2018

9

Latest astronomical constraints on some non-linear parametric dark energy models

Yang, Weiqiang, Pan, Supriya, Paliathanasis, Andronikos

Journal:

Monthly Notices of the Royal Astronomical Society

Year:

2018

Language:

english

File:

PDF, 1.34 MB

english, 2018

10

Integrability of the Einstein-nonlinear SU(2) $$\sigma $$ σ -model in a nontrivial topological sector

Paliathanasis, Andronikos, Taves, Tim, Leach, P. G. L.

Journal:

The European Physical Journal C

Year:

2017

Language:

english

File:

PDF, 490 KB

english, 2017

11

Nonlocal representation of the sl (2 , R ) algebra for the Chazy equation

Jamal, Sameerah, Leach, P.G.L., Paliathanasis, Andronikos

Journal:

Quaestiones Mathematicae

Year:

2018

Language:

english

File:

PDF, 357 KB

english, 2018

12

Lie Symmetry Analysis of the Black-Scholes-Merton Model for European Options with Stochastic Volatility

Paliathanasis, Andronikos, Krishnakumar, K., Tamizhmani, K.M., Leach, Peter

Journal:

Year:

2016

Language:

english

File:

PDF, 832 KB

english, 2016

13

A Geometric View on the Symmetries of Differential Equations

Paliathanasis, Andronikos

Journal:

Proceedings (American Bar Association. Section of International and Comparative Law)

Year:

2018

Language:

english

File:

PDF, 111 KB

english, 2018

14

The generic model of general relativity

Tsamparlis, Michael, Paliathanasis, Andronikos

Journal:

Arabian Journal of Mathematics

Year:

2019

File:

PDF, 733 KB

2019

15

Lie and Noether symmetries of geodesic equations and collineations

Michael Tsamparlis, Andronikos Paliathanasis

Journal:

General Relativity and Gravitation

Year:

2010

Language:

english

File:

PDF, 243 KB

english, 2010

16

Lie symmetries of geodesic equations and projective collineations

Michael Tsamparlis, Andronikos Paliathanasis

Journal:

Nonlinear Dynamics

Year:

2010

Language:

english

File:

PDF, 357 KB

english, 2010

17

Using the Noether symmetry approach to probe the nature of dark energy

Basilakos, Spyros, Tsamparlis, Michael, Paliathanasis, Andronikos

Journal:

Physical Review D

Year:

2011

Language:

english

File:

PDF, 226 KB

english, 2011

18

Conformally related metrics and Lagrangians and their physical interpretation in cosmology

Tsamparlis, Michael, Paliathanasis, Andronikos, Basilakos, Spyros, Capozziello, Salvatore

Journal:

General Relativity and Gravitation

Year:

2013

Language:

english

File:

PDF, 251 KB

english, 2013

19

Two-dimensional dynamical systems which admit Lie and Noether symmetries

Tsamparlis, Michael, Paliathanasis, Andronikos

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2011

Language:

english

File:

PDF, 250 KB

english, 2011

20

cosmology: A complete study

Basilakos, S., Capozziello, S., De Laurentis, M., Paliathanasis, A., Tsamparlis, M.

Journal:

Physical Review D

Year:

2013

Language:

english

File:

PDF, 256 KB

english, 2013

21

The reduction of the Laplace equation in certain Riemannian spaces and the resulting Type II hidden symmetries

Paliathanasis, Andronikos, Tsamparlis, Michael

Journal:

Journal of Geometry and Physics

Year:

2014

Language:

english

File:

PDF, 450 KB

english, 2014

22

Type II hidden symmetries for the homogeneous heat equation in some general classes of Riemannian spaces

Tsamparlis, Michael, Paliathanasis, Andronikos

Journal:

Journal of Geometry and Physics

Year:

2013

Language:

english

File:

PDF, 427 KB

english, 2013

23

Two scalar field cosmology: Conservation laws and exact solutions

Paliathanasis, Andronikos, Tsamparlis, Michael

Journal:

Physical Review D

Year:

2014

Language:

english

File:

PDF, 235 KB

english, 2014

24

Scalar-tensor gravity cosmology: Noether symmetries and analytical solutions

Paliathanasis, Andronikos, Tsamparlis, Michael, Basilakos, Spyros, Capozziello, Salvatore

Journal:

Physical Review D

Year:

2014

Language:

english

File:

PDF, 186 KB

english, 2014

25

Dynamical symmetries and observational constraints in scalar field cosmology

Paliathanasis, Andronikos, Tsamparlis, Michael, Basilakos, Spyros

Journal:

Physical Review D

Year:

2014

Language:

english

File:

PDF, 451 KB

english, 2014

26

gravity through Noether symmetries

Paliathanasis, A., Basilakos, S., Saridakis, E. N., Capozziello, S., Atazadeh, K., Darabi, F., Tsamparlis, M.

Journal:

Physical Review D

Year:

2014

Language:

english

File:

PDF, 222 KB

english, 2014

27

theories of gravity using Noether symmetries

Paliathanasis, Andronikos, Tsamparlis, Michael, Basilakos, Spyros

Journal:

Physical Review D

Year:

2011

Language:

english

File:

PDF, 203 KB

english, 2011

28

Noether symmetries and isometries of the minimal surface Lagrangian under constant volume in a Riemannian space

Tsamparlis, Michael, Paliathanasis, Andronikos, Qadir, Asghar

Journal:

International Journal of Geometric Methods in Modern Physics

Year:

2015

Language:

english

File:

PDF, 154 KB

english, 2015

29

Exact solutions of Bianchi I spacetimes which admit Conformal Killing Vectors

Tsamparlis, Michael, Paliathanasis, Andronikos, Karpathopoulos, Leonidas

Journal:

General Relativity and Gravitation

Year:

2015

Language:

english

File:

PDF, 249 KB

english, 2015

30

The geometric origin of Lie point symmetries of the Schrödinger and the Klein–Gordon equations

Paliathanasis, Andronikos, Tsamparlis, Michael

Journal:

International Journal of Geometric Methods in Modern Physics

Year:

2014

Language:

english

File:

PDF, 242 KB

english, 2014

31

Symmetry analysis of the Klein–Gordon equation in Bianchi I spacetimes

Paliathanasis, A., Tsamparlis, M., Mustafa, M. T.

Journal:

International Journal of Geometric Methods in Modern Physics

Year:

2015

Language:

english

File:

PDF, 322 KB

english, 2015

32

Three-fluid cosmological model using Lie and Noether symmetries

Tsamparlis, Michael, Paliathanasis, Andronikos

Journal:

Classical and Quantum Gravity

Year:

2012

Language:

english

File:

PDF, 147 KB

english, 2012

33

Autonomous three-dimensional Newtonian systems which admit Lie and Noether point symmetries

Tsamparlis, Michael, Paliathanasis, Andronikos, Karpathopoulos, Leonidas

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2012

Language:

english

File:

PDF, 149 KB

english, 2012

34

Generalizing the autonomous Kepler–Ermakov system in a Riemannian space

Tsamparlis, Michael, Paliathanasis, Andronikos

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2012

Language:

english

File:

PDF, 216 KB

english, 2012

35

Comment on “Classification of Cosmic Scale Factor via Noether Gauge Symmetries” [Int. J. Theor. Phys. 54, 2343 (2015)]

Paliathanasis, A., Krishnakumar, K., Leach, P. G. L.

Journal:

International Journal of Theoretical Physics

Year:

2016

Language:

english

File:

PDF, 168 KB

english, 2016

36

Closed-form solutions of the Wheeler–DeWitt equation in a scalar-vector field cosmological model by Lie symmetries

Paliathanasis, Andronikos, Vakili, Babak

Journal:

General Relativity and Gravitation

Year:

2016

Language:

english

File:

PDF, 780 KB

english, 2016

37

Variational contact symmetries of constrained Lagrangians

Terzis, Petros A., Dimakis, N., Christodoulakis, T., Paliathanasis, Andronikos, Tsamparlis, Michael

Journal:

Journal of Geometry and Physics

Year:

2016

Language:

english

File:

PDF, 433 KB

english, 2016

38

f ( R )-gravity from Killing tensors

Paliathanasis, Andronikos

Journal:

Classical and Quantum Gravity

Year:

2016

Language:

english

File:

PDF, 597 KB

english, 2016

39

On the Hojman conservation quantities in Cosmology

Paliathanasis, A., Leach, P.G.L., Capozziello, S.

Journal:

Physics Letters B

Year:

2016

Language:

english

File:

PDF, 258 KB

english, 2016

40

Lie and Noether point symmetries of a class of quasilinear systems of second-order differential equations

Paliathanasis, Andronikos, Tsamparlis, Michael

Journal:

Journal of Geometry and Physics

Year:

2016

Language:

english

File:

PDF, 468 KB

english, 2016

41

Evolution and dynamics of a matter creation model

Pan, S., Haro, J. de, Paliathanasis, A., Slagter, R. J.

Journal:

Monthly Notices of the Royal Astronomical Society

Year:

2016

Language:

english

File:

PDF, 486 KB

english, 2016

42

Wheeler–DeWitt equation and Lie symmetries in Bianchi scalar-field cosmology

Paliathanasis, A., Karpathopoulos, L., Wojnar, A., Capozziello, S.

Journal:

The European Physical Journal C

Year:

2016

Language:

english

File:

PDF, 603 KB

english, 2016

43

Scalar field cosmology modified by the generalized uncertainty principle

Paliathanasis, Andronikos, Pan, Supriya, Pramanik, Souvik

Journal:

Classical and Quantum Gravity

Year:

2015

Language:

english

File:

PDF, 542 KB

english, 2015

44

Comment on “A study of phantom scalar field cosmology using Lie and Noether symmetries”

Paliathanasis, Andronikos, Basilakos, Spyros, Tsamparlis, Michael

Journal:

International Journal of Modern Physics D

Year:

2016

Language:

english

File:

PDF, 110 KB

english, 2016

45

Lie symmetries of the geodesic equations and projective collineations

Tsamparlis, Michael, Paliathanasis, Andronikos

Journal:

Journal of Physics Conference Series

Year:

2009

Language:

english

File:

PDF, 451 KB

english, 2009

46

Analytical solutions in R+qRn cosmology from singularity analysis

Paliathanasis, Andronikos, Leach, P.G.L.

Journal:

Physics Letters A

Year:

2016

Language:

english

File:

PDF, 363 KB

english, 2016

47

Symmetries of second-order PDEs and conformal Killing vectors

Tsamparlis, Michael, Paliathanasis, Andronikos

Journal:

Journal of Physics Conference Series

Year:

2015

Language:

english

File:

PDF, 873 KB

english, 2015

48

Using Noether symmetries to specify f(R) gravity

Paliathanasis, Andronikos

Journal:

Journal of Physics Conference Series

Year:

2013

Language:

english

File:

PDF, 635 KB

english, 2013

49

Dynamical analysis in scalar field cosmology

Paliathanasis, Andronikos, Tsamparlis, Michael, Basilakos, Spyros, Barrow, John D.

Journal:

Physical Review D

Year:

2015

Language:

english

File:

PDF, 488 KB

english, 2015

50

Classical and quantum solutions in Brans-Dicke cosmology with a perfect fluid

Paliathanasis, Andronikos, Tsamparlis, Michael, Basilakos, Spyros, Barrow, John D.

Journal:

Physical Review D

Year:

2016

Language:

english

File:

PDF, 388 KB

english, 2016