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Leach, Peter Gavin Lawrence

Author ID: leach.peter-gavin-lawrence Recent zbMATH articles by "Leach, Peter Gavin Lawrence"
Published as: Leach, P. G. L.; Leach, Peter G. L.; Leach, Peter; Leach, P. G.; Leach, P.
External Links: MGP · Math-Net.Ru · dblp
Documents Indexed: 282 Publications since 1977, including 11 Additional arXiv Preprints
5 Contributions as Editor
Reviewing Activity: 41 Reviews
Biographic References: 2 Publications
Co-Authors: 87 Co-Authors with 238 Joint Publications
1,354 Co-Co-Authors
all top 5

Co-Authors

37 single-authored
29 Paliathanasis, Andronikos
27 Andriopoulos, Kostis
26 Nucci, Maria Clara
23 Govinder, Keshlan Sathasiva
14 Sophocleous, Christodoulos
12 Cotsakis, Spiros
12 Mahomed, Fazal M.
11 Flessas, George P.
10 Moyo, Sibusiso
9 Euler, Norbert
8 Bouquet, Serge
8 Feix, Marc Roy
8 Gorringe, V. M.
8 Halder, Amlan Kanti
7 Maharaj, Sunil D.
7 Sinuvasan, R.
7 Tamizhmani, K. M.
6 Lewis, H. Ralph
5 Lemmer, R. L.
5 Morris, Richard Michael
5 Sinkala, Winter
4 Abdalla, M. Sebawe
4 Abraham-Shrauner, Barbara
4 Euler, Marianna
4 Géronimi, Claude
4 Guha, Partha
4 Leon, Genly
4 Maharaj, Akash V.
4 Miritzis, John
3 Dimas, Stelios
3 Ghose Choudhury, Anindya
3 Kara, Abdul Hamid
3 Maartens, Roy
3 Myeni, S. M.
3 Naicker, Viroshan
3 Sarlet, Willy
2 Agbaje, Titilayo Morenike
2 Cairó, Laurent
2 Charalambous, Kyriakos
2 Damianou, Pantelis Andrea
2 Dewisme, Alain
2 Ivanova, Nataliya M.
2 Popovych, Roman O.
2 Seshadri, Rajeswari
2 Steeb, Willi-Hans
2 Vaneeva, Olena O.
2 White, David P.
1 Agnus, Sherin
1 Basarab-Horwath, Peter
1 Bhattacharjee, Jayanta K.
1 Blecher, M. H.
1 Boyko, Vyacheslav M.
1 Brazier, T. I.
1 Caister, Nicolette C.
1 Cantrijn, Frans
1 Capozziello, Salvatore
1 Cariñena, José F.
1 Coville, Neil J.
1 de Lucas, Javier
1 Devi, A. Durga
1 Duba, C. T.
1 El Maroufy, Hamid
1 Eliezer, Christie Jayaratnam
1 Farag, Hany M.
1 Fijalkow, Eric
1 Flessas, G. R.
1 Ford, T. A.
1 Goodall, Roger M.
1 Heil, T. G.
1 Hislop, David
1 Hua, D. D.
1 Jamal, Sameerah
1 Kalotas, T. M.
1 Khanra, Barun
1 Lahrouz, Adil
1 Mallik, Asok Kumar
1 Matabal, P. H.
1 Mellin, Conrad M.
1 Misthry, S. S.
1 Mondal, Sabyasachi
1 Nayak, Manoj Kumar
1 Pantazi, Chara
1 Pillay, T.
1 Querella, Laurent
1 Ratcliff, Gail
1 Rouet, Jean-Louis
1 Santilli, Ruggero Maria
1 Sarkar, Amartya
1 Sibanda, Precious
1 Taves, Tim
1 Warne, R. R.
1 Wolfaardt, M. F.
1 Znojil, Miloslav
all top 5

Serials

40 Journal of Mathematical Physics
28 Journal of Mathematical Analysis and Applications
27 Journal of Physics A: Mathematical and General
27 Journal of Nonlinear Mathematical Physics
15 Quaestiones Mathematicae
9 Mathematical Methods in the Applied Sciences
6 Journal of Engineering Mathematics
5 Physics Letters. A
5 Physica Scripta
5 Applicable Analysis and Discrete Mathematics
4 International Journal of Non-Linear Mechanics
4 Journal of the Australian Mathematical Society, Series B
4 Gravitation & Cosmology
3 International Journal of Theoretical Physics
3 Applied Mathematics and Computation
3 Bulletin of the Greek Mathematical Society
3 Lie Groups and their Applications
3 Communications in Nonlinear Science and Numerical Simulation
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Mathematics
2 General Relativity and Gravitation
2 Indian Journal of Pure & Applied Mathematics
2 Theoretical and Mathematical Physics
2 Hadronic Journal
2 Chaos, Solitons and Fractals
2 Journal of Computational and Applied Mathematics
2 Physica D
2 Applied Mathematics Letters
2 Annals of Physics
2 Journal of Mathematical Chemistry
2 International Journal of Geometric Methods in Modern Physics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Physics A: Mathematical and Theoretical
2 Afrika Matematika
1 Physics Letters. B
1 International Journal for Numerical Methods in Engineering
1 Journal of Differential Equations
1 Mathematics and Computers in Simulation
1 Acta Applicandae Mathematicae
1 Celestial Mechanics
1 International Journal of Computer Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 The Journal of Analysis
1 Arab Journal of Mathematical Sciences
1 Differential Equations and Dynamical Systems
1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest
1 Abstract and Applied Analysis
1 Lobachevskii Journal of Mathematics
1 The ANZIAM Journal
1 Nonlinear Analysis. Real World Applications
1 Canadian Journal of Physics
1 Journal of Applied Mathematics
1 Lecture Notes in Physics
1 Revista Mexicana Física
1 Applied Mathematics & Information Sciences
1 Symmetry
1 Russian Journal of Nonlinear Dynamics

Publications by Year

Citations contained in zbMATH Open

223 Publications have been cited 2,237 times in 995 Documents Cited by Year
Symmetry Lie algebras of \(n\)th order ordinary differential equations. Zbl 0719.34018
Mahomed, F. M.; Leach, P. G. L.
76
1990
A direct approach to finding exact invariants for one-dimensional time- dependent classical Hamiltonians. Zbl 0515.70018
Lewis, H. Ralph; Leach, P. G. L.
55
1982
First integrals for the modified Emden equation \(\ddot q+\alpha (t)\dot q+q^ n=0\). Zbl 0587.34004
Leach, P. G. L.
42
1985
The Ermakov equation: a commentary. Zbl 1199.34006
Leach, P. G. L.; Andriopoulos, K.
42
2008
The linear symmetries of a nonlinear differential equation. Zbl 0618.34009
Mahomed, F. M.; Leach, P. G. L.
41
1985
Lie point symmetries for systems of second order linear ordinary differential equations. Zbl 0649.34018
Gorringe, V. M.; Leach, P. G. L.
39
1988
The Painlevé test, hidden symmetries and the equation \(y''+yy'+ky^ 3=0\). Zbl 0806.34008
Lemmer, R. L.; Leach, P. G. L.
37
1993
Lie algebras associated with scalar second-order ordinary differential equations. Zbl 0724.34003
Mahomed, F. M.; Leach, P. G. L.
37
1989
The complete symmetry group of the one-dimensional time-dependent harmonic oscillator. Zbl 0451.70020
Leach, P. G. L.
35
1980
Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X'''=0\). Zbl 1054.34002
Euler, N.; Wolf, T.; Leach, P. G. L.; Euler, M.
34
2003
On the singularity analysis of ordinary differential equations invariant under time translation and rescaling. Zbl 0927.34006
Feix, M. R.; Geronimi, C.; Cairó, L.; Leach, P. G. L.; Lemmer, R. L.; Bouquet, S.
32
1997
An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity. Zbl 0459.70024
Leach, P. G. L.
30
1981
Jacobi’s last multiplier and Lagrangians for multidimensional systems. Zbl 1152.81573
Nucci, M. C.; Leach, P. G. L.
28
2008
Integration of second order ordinary differential equations not possessing Lie point symmetries. Zbl 1020.34500
Abraham-Shrauner, B.; Govinder, K. S.; Leach, P. G. L.
28
1995
The Lie algebra sl(3,\({\mathcal R})\) and linearization. Zbl 0683.34004
Mahomed, F. M.; Leach, P. G. L.
27
1989
The harmony in the Kepler and related problems. Zbl 1030.70007
Nucci, M. C.; Leach, P. G. L.
26
2001
On the determination of non-local symmetries. Zbl 0869.58045
Govinder, K. S.; Leach, P. G. L.
25
1995
Symmetries of nonlinear differential equations and linearisation. Zbl 0625.34044
Sarlet, W.; Mahomed, F. M.; Leach, P. G. L.
25
1987
The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394
Euler, Marianna; Euler, Norbert; Leach, Peter
25
2007
On the systematic approach to the classification of differential equations by group theoretical methods. Zbl 1173.35318
Andriopoulos, K.; Dimas, S.; Leach, P. G. L.; Tsoubelis, D.
25
2009
Lagrangians galore. Zbl 1153.81413
Nucci, M. C.; Leach, P. G. L.
24
2007
Hidden and contact symmetries of ordinary differential equations. Zbl 0879.58068
Abraham-Shrauner, Barbara; Leach, P. G. L.; Govinder, K. S.; Ratcliff, Gail
23
1995
Complete symmetry groups of ordinary differential equations and their integrals: Some basic considerations. Zbl 0998.34031
Andriopoulos, K.; Leach, P. G. L.; Flessas, G. P.
23
2001
Invariance properties of a general bond-pricing equation. Zbl 1147.91017
Sinkala, W.; Leach, P. G. L.; O’Hara, J. G.
23
2008
On the theory of time-dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type. Zbl 0365.70019
Leach, P. G. L.
22
1977
On a generalization of the Lewis invariant for the time-dependent harmonic oscillator. Zbl 0384.70029
Leach, P. G. L.
21
1978
The Jacobi last multiplier and its applications in mechanics. Zbl 1158.70008
Nucci, M. C.; Leach, P. G. L.
21
2008
Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem. Zbl 0479.70020
Leach, P. G. L.
21
1981
Exact invariants for a class of time-dependent nonlinear Hamiltonian systems. Zbl 0487.70022
Lewis, H. Ralph; Leach, P. G. L.
21
1982
Jacobi’s last multiplier and symmetries for the Kepler problem plus a lineal story. Zbl 1065.70007
Nucci, M. C.; Leach, P. G. L.
20
2004
Analysis and solution of a nonlinear second-order differential equation through rescaling and through a dynamical point of view. Zbl 0785.34031
Leach, P. G. L.; Feix, M. R.; Bouquet, S.
20
1988
Lie and Noether counting theorems for one-dimensional systems. Zbl 0783.34002
Mahomed, F. M.; Kara, A. H.; Leach, P. G. L.
20
1993
Exact solutions for the Tikekar superdense star. Zbl 0873.34004
Maharaj, S. D.; Leach, P. G. L.
20
1996
A further note on the Henon-Heiles problem. Zbl 0476.70016
Leach, P. G. L.
19
1981
Nonlinear shear-free radiative collapse. Zbl 1255.83038
Misthry, S. S.; Maharaj, S. D.; Leach, P. G. L.
19
2008
First integrals versus configurational invariants and a weak form of complete integrability. Zbl 0581.58025
Sarlet, W.; Leach, P. G. L.; Cantrijn, F.
18
1985
Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics. Zbl 1080.35163
Naicker, V.; Andriopoulos, K.; Leach, P. G. L.
18
2005
Jacobi’s last multiplier and the complete symmetry group of the Euler-Poinsot system. Zbl 1362.35027
Nucci, M. C.; Leach, P. G. L.
18
2002
An optimal system and group-invariant solutions of the Cox-Ingersoll-Ross pricing equation. Zbl 1142.91466
Sinkala, W.; Leach, P. G. L.; O’Hara, J. G.
18
2008
The Schrödinger equation for the \(x^ 2+\lambda x^ 2/(1+gx^ 2)\) interaction. Zbl 0656.35023
Blecher, M. H.; Leach, P. G. L.
17
1987
Solution of generalized Emden-Fowler equations with two symmetries. Zbl 0812.34001
Mellin, Conrad M.; Mahomed, F. M.; Leach, P. G. L.
17
1994
The determination of nonlocal symmetries by the technique of reduction of order. Zbl 0977.34029
Nucci, M. C.; Leach, P. G. L.
17
2000
The economy of complete symmetry groups for linear higher dimensional systems. Zbl 1362.34052
Andriopoulos, K.; Leach, P. G. L.
17
2002
Symmetries of first integrals and their associated differential equations. Zbl 0947.34021
Leach, P. G.; Govinder, K. S.; Abraham-Shrauner, B.
16
1999
Zero-coupon bond prices in the Vasicek and CIR models: their computation as group-invariant solutions. Zbl 1132.91438
Sinkala, W.; Leach, P. G. L.; O’Hara, J. G.
16
2008
Connection between the existence of first integrals and the Painlevé property in two-dimensional Lotka-Volterra and quadratic systems. Zbl 0873.34005
Hua, D. D.; Cairó, L.; Feix, M. R.; Govinder, K. S.; Leach, P. G. L.
15
1996
Self-similar solutions of the generalized Emden-Fowler equation. Zbl 0760.34005
Leach, P. G. L.; Maartens, R.; Maharaj, S. D.
15
1992
Lie symmetries of generalized Burgers equations: application to boundary-value problems. Zbl 1398.35208
Vaneeva, O. O.; Sophocleous, C.; Leach, P. G. L.
15
2015
The algebraic structure of the first integrals of third-order linear equations. Zbl 0986.34033
Govinder, K. S.; Leach, P. G. L.
14
1995
Exact solutions of the Schrödinger equation for a class of three- dimensional isotropic anharmonic oscillators. Zbl 0557.35026
Leach, P. G. L.
14
1984
Jacobi’s last multiplier and the complete symmetry group of the Ermakov-Pinney equation. Zbl 1079.34026
Nucci, M. C.; Leach, P. G. L.
14
2005
An old method of Jacobi to find Lagrangians. Zbl 1205.34011
Nucci, M. C.; Leach, P. G. L.
14
2009
Generalisations of the Laplace-Runge-Lenz vector. Zbl 1039.70007
Leach, P. G. L.; Flessas, G. P.
14
2003
Maximal subalgebra associated with a first integral of a system possessing sl(3,R) algebra. Zbl 0658.58037
Leach, P. G. L.; Mahomed, F. M.
13
1988
Comment on a theorem of Hojman and its generalizations. Zbl 0945.70519
Pillay, T.; Leach, P. G. L.
13
1996
A group theoretic approach to a class of second-order ordinary differential equations not possessing Lie point symmetries. Zbl 0927.34007
Govinder, K. S.; Leach, P. G. L.
13
1997
First integrals for some nonlinear time-dependent Hamiltonian systems. Zbl 0564.70018
Leach, P. G. L.; Lewis, H. R.; Sarlet, W.
13
1984
Symmetry-based solution of a model for a combination of a risky investment and a riskless investment. Zbl 1154.91027
Leach, P. G. L.; O’Hara, J. G.; Sinkala, W.
13
2007
Shear-free spherically symmetric solutions with conformal symmetry. Zbl 0715.53053
Maharaj, S. D.; Leach, P. G. L.; Maartens, R.
13
1991
Nonlinear ordinary differential equations: a discussion on symmetries and singularities. Zbl 1387.34049
Paliathanasis, Andronikos; Leach, P. G. L.
13
2016
Complete specification of some partial differential equations that arise in financial mathematics. Zbl 1362.35310
Dimas, S.; Andriopoulos, K.; Tsoubelis, D.; Leach, P. G. L.
13
2009
An integrable SIS model. Zbl 1067.92054
Nucci, M. C.; Leach, P. G. L.
13
2004
Painlevé analysis of the mixmaster universe. Zbl 0843.58144
Cotsakis, Spiros; Leach, P. G. L.
12
1994
On the uniqueness of the Schwarzian and linearisation by nonlocal contact transformation. Zbl 0938.34078
Leach, P. G.; Govinder, K. S.
12
1999
Symmetry and singularity properties of the generalised Kummer-Schwarz and related equations. Zbl 1157.34030
Leach, P. G. L.
12
2008
Integrability analysis of the Emden-Fowler equation. Zbl 1167.37032
Govinder, K. S.; Leach, P. G. L.
12
2007
Exponential nonlocal symmetries and nonnormal reduction of order. Zbl 1014.34027
Géronimi, C.; Feix, M. R.; Leach, P. G. L.
12
2001
Characterisation of the algebraic properties of first integrals of scalar ordinary differential equations of maximal symmetry. Zbl 0879.34052
Flessas, G. P.; Govinder, K. S.; Leach, P. G. L.
11
1997
The first integrals and orbit equation for the Kepler problem with drag. Zbl 0626.70027
Leach, P. G. L.
11
1987
The relationship between the symmetries of and the existence of conserved vectors for the equation \(\ddot r+f(r)L+g(r)r=0\). Zbl 0708.70008
Leach, P. G. L.; Gorringe, V. M.
11
1990
A resonance formulation for invariants of particle motion in a one- dimensional time-dependent potential. Zbl 0572.70020
Lewis, H. Ralph; Leach, P. G. L.
10
1985
Hidden symmetries of nonlinear ordinary differential equations. Zbl 0811.34006
Abraham-Shrauner, B.; Leach, P. G. L.
10
1993
Expanding spherically symmetric models without shear. Zbl 0848.35134
Maharaj, S. D.; Leach, P. G. L.; Maartens, R.
10
1996
\(\mathrm{Sl}(3, R)\) and the repulsive oscillator. Zbl 0429.22011
Leach, P. G. L.
10
1980
On the elementary Schrödinger bound states and their multiplets. Zbl 0825.35100
Znojil, M.; Leach, P. G. L.
10
1992
Algebraic solution of the Stein-Stein model for stochastic volatility. Zbl 1221.91059
Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L.
10
2011
Berry’s phase and wavefunctions for time-dependent Hamilton systems. Zbl 0732.35078
Leach, P. G. L.
10
1990
Properties of second-order ordinary differential equations invariant under time translation and self-similar transformation. Zbl 0734.34029
Bouquet, S. E.; Feix, M. R.; Leach, P. G. L.
10
1991
Equivalence classes of second-order ordinary differential equations with only a three-dimensional Lie algebra of point symmetries and linearisation. Zbl 1054.34060
Leach, P. G. L.
10
2003
Algebraic properties of evolution partial differential equations modelling prices of commodities. Zbl 1132.35491
Sophocleous, C.; Leach, P. G. L.; Andriopoulos, K.
10
2008
Representations of one-dimensional Hamiltonians in terms of their invariants. Zbl 0746.70013
Lewis, H. Ralph; Leach, P. G. L.; Bouquet, Serge; Feix, Marc R.
9
1992
The Ermanno-Bernoulli constants and representations of the complete symmetry group of the Kepler problem. Zbl 1062.70011
Leach, P. G. L.; Andriopoulos, K.; Nucci, M. C.
9
2003
Symmetry, singularities and integrability in complex dynamics. V: Complete symmetry groups of certain relativistic spherically symmetric systems. Zbl 1017.34035
Leach, P. G. L.; Nucci, M. C.; Cotsakis, S.
9
2001
Symmetry, singularities and integrability in complex dynamics. I: The reduction problem. Zbl 0989.34074
Leach, P. G. L.; Cotsakis, S.; Flessas, G. P.
9
2000
Exceptional properties of second and third order ordinary differential equations of maximal symmetry. Zbl 0974.34033
Moyo, S.; Leach, P. G. L.
9
2000
Competing species: Integrability and stability. Zbl 1055.34059
Leach, P. G. L.; Miritzis, J.
9
2004
Noetherian integrals via nonlocal transformation. Zbl 1020.70504
Govinder, K. S.; Leach, P. G. L.
9
1995
The ladder problem: Painlevé integrability and explicit solution. Zbl 1040.37039
Andriopoulos, K.; Leach, P. G. L.; Nucci, M. C.
9
2003
Classes of potentials of time-dependent central force fields which possess first integrals quadratic in the momenta. Zbl 0574.70017
Leach, P. G. L.
8
1985
Contact symmetry algebras of scalar second-order ordinary differential equations. Zbl 0738.34008
Mahomed, F. M.; Leach, P. G. L.
8
1991
Lie symmetries, quantisation and \(c\)-isochronous nonlinear oscillators. Zbl 1097.81042
Nucci, M. C.; Leach, P. G. L.; Andriopoulos, K.
8
2006
Symmetry and singularity properties of second-order ordinary differential equations of Lie’s Type III. Zbl 1121.34091
Andriopoulos, K.; Leach, P. G. L.
8
2007
Nonlocal symmetries and the complete symmetry group of \(1+1\) evolution equations. Zbl 1110.35327
Myeni, S. M.; Leach, P. G. L.
8
2006
A Rodrigues formula approach to determining closed-form solutions to the Schrödinger equation for symmetric anharmonic oscillators. Zbl 0662.34038
Leach, P. G. L.; Flessas, G. P.; Gorringe, V. M.
8
1989
Integrability analysis of a conformal equation in relativity. Zbl 0823.34008
Govinder, K. S.; Leach, P. G. L.; Maharaj, S. D.
8
1995
Towards an invariant for the time-dependent anharmonic oscillator. Zbl 0424.70025
Leach, P. G. L.
8
1979
Noether equivalence problem for particle Lagrangians. Zbl 0814.70010
Kara, A. H.; Mahomed, F. M.; Leach, P. G. L.
8
1994
Symmetry analysis of a model of stochastic volatility with time-dependent parameters. Zbl 1231.91493
Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L.
8
2011
Ermakov systems: A group-theoretic approach. Zbl 0961.34500
Govinder, K. S.; Leach, P. G. L.
8
1994
Lie integrable cases of the simplified multistrain/two-stream model for tuberculosis and dengue fever. Zbl 1118.92054
Nucci, M. C.; Leach, P. G. L.
8
2007
Nonlocal constants of motions of equations of Painlevé-Gambier type and generalized Sundman transformation. Zbl 07743323
Guha, Partha; Choudhury, A. Ghose; Khanra, Barun; Leach, Peter G. L.
1
2022
Similarity solutions and conservation laws for the Bogoyavlensky-Konopelchenko equation by Lie point symmetries. Zbl 1475.35013
Halder, Amlan K.; Leach, P. G. L.; Paliathanasis, Andronikos
2
2021
Symmetry analysis for a fourth-order noise-reduction partial differential equation. Zbl 07462249
Leach, P. G. L.; Paliathanasis, Andronikos
2
2021
Thermodynamic effect in Darcy-Forchheimer nanofluid flow of a single-wall carbon nanotube/multi-wall carbon nanotube suspension due to a stretching/shrinking rotating disk: Buongiorno two-phase model. Zbl 1436.80002
Nayak, M. K.; Agbaje, T. M.; Mondal, S.; Sibanda, P.; Leach, P. G. L.
3
2020
Lie symmetry analysis and similarity solutions for the Jimbo-Miwa equation and generalisations. Zbl 07446870
Halder, Amlan K.; Paliathanasis, Andronikos; Seshadri, Rajeswari; Leach, Peter G. L.
2
2020
Singularity analysis of a variant of the Painlevé-Ince equation. Zbl 1426.34024
Halder, Amlan K.; Paliathanasis, Andronikos; Leach, P. G. L.
5
2019
Nonlocal representation of the \(\mathrm{sl}(2,R)\) algebra for the Chazy equation. Zbl 1412.34241
Jamal, Sameerah; Leach, Peter G. L.; Paliathanasis, Andronikos
4
2019
Noether’s theorem and symmetry. Zbl 1425.35004
Halder, Amlan K.; Paliathanasis, Andronikos; Leach, Peter G. L.
7
2018
Noetherian symmetries of noncentral forces with drag term. Zbl 1361.34032
Ghose-Choudhury, A.; Guha, Partha; Paliathanasis, Andronikos; Leach, P. G. L.
8
2017
Symmetries and singularities of the Szekeres system. Zbl 1371.83215
Paliathanasis, Andronikos; Leach, P. G. L.
8
2017
Symmetries, travelling-wave and self-similar solutions of the Burgers hierarchy. Zbl 1411.35239
Sinuvasan, R.; Tamizhmani, K. M.; Leach, P. G. L.
1
2017
The algebraic properties of the space- and time-dependent one-factor model of commodities. Zbl 1426.91125
Leach, P. G. L.; Morris, R. M.; Paliathanasis, A.
1
2017
Nonlinear ordinary differential equations: a discussion on symmetries and singularities. Zbl 1387.34049
Paliathanasis, Andronikos; Leach, P. G. L.
13
2016
Lie symmetry analysis of the Black-Scholes-Merton model for European options with stochastic volatility. Zbl 1358.91101
Paliathanasis, Andronikos; Krishnakumar, K.; Tamizhmani, K. M.; Leach, Peter G. L.
6
2016
Analytical solutions in \(R+qR^n\) cosmology from singularity analysis. Zbl 1366.83116
Paliathanasis, Andronikos; Leach, P. G. L.
6
2016
On the Hojman conservation quantities in cosmology. Zbl 1367.83110
Paliathanasis, A.; Leach, P. G. L.; Capozziello, S.
6
2016
Comment on “Classification of Lie point symmetries for quadratic Liénard type equation \(\ddot{x} + f(x) \dot{x}^2 + g(x) = 0\)”. Zbl 1337.34041
Paliathanasis, A.; Leach, P. G. L.
5
2016
Lie symmetries of \((1+2)\) nonautonomous evolution equations in financial mathematics. Zbl 1358.91102
Paliathanasis, Andronikos; Morris, Richard M.; Leach, Peter G. L.
2
2016
Lie symmetries of generalized Burgers equations: application to boundary-value problems. Zbl 1398.35208
Vaneeva, O. O.; Sophocleous, C.; Leach, P. G. L.
15
2015
Symmetries and reductions of order for certain nonlinear third- and second-order differential equations with arbitrary nonlinearity. Zbl 1332.34073
Tamizhmani, K. M.; Krishnakumar, K.; Leach, P. G. L.
1
2015
A deductive approach to the solution of the problem of optimal pairs trading from the viewpoint of stochastic control with time-dependent parameters. Zbl 1411.91490
Charalambous, K.; Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L.
1
2015
Algebraic solutions of the Hirota bilinear form for the Korteweg-de Vries and Boussinesq equations. Zbl 1352.35147
Krishnakumar, K.; Tamizhmani, K. M.; Leach, P. G. L.
1
2015
Algebraic resolution of equations of the Black-Scholes type with arbitrary time-dependent parameters. Zbl 1338.35432
Tamizhmani, K. M.; Krishnakumar, K.; Leach, P. G. L.
6
2014
Application of Lie point symmetries to the resolution of certain problems in financial mathematics with a terminal condition. Zbl 1360.91160
O’Hara, J. G.; Sophocleous, C.; Leach, P. G. L.
5
2013
Symmetry analysis of a model for the exercise of a barrier option. Zbl 1304.91224
O’Hara, J. G.; Sophocleous, C.; Leach, P. G. L.
5
2013
Lie groups and quantum mechanics. Zbl 1308.81117
Nucci, M. C.; Leach, P. G. L.
4
2013
Proceedings of the 6th international workshop on group analysis of differential equations and integrable systems, Protaras, Cyprus, June 17–21, 2012. Zbl 1264.35004
1
2013
Hidden and not so hidden symmetries. Zbl 1239.34031
Leach, P. G. L.; Govinder, K. S.; Andriopoulos, K.
7
2012
On the properties of a variant of the Riccati system of equations. Zbl 1268.34038
Sarkar, Amartya; Guha, Partha; Ghose-Choudhury, Anindya; Bhattacharjee, J. K.; Mallik, A. K.; Leach, P. G. L.
4
2012
Lie symmetries and Noether symmetries. Zbl 1289.70027
Leach, P. G. L.
4
2012
Thin films: increasing the complexity of the model. Zbl 1258.35117
Sophocleous, C.; Leach, P. G. L.
1
2012
Algebraic solution of the Stein-Stein model for stochastic volatility. Zbl 1221.91059
Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L.
10
2011
Symmetry analysis of a model of stochastic volatility with time-dependent parameters. Zbl 1231.91493
Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L.
8
2011
Singularity analysis for autonomous and nonautonomous differential equations. Zbl 1289.34002
Andriopoulos, Kostis; Leach, Peter
7
2011
Lie algebraic approach and quantum treatment of an anisotropic charged particle via the quadratic invariant. Zbl 1272.81046
Abdalla, M. Sebawe; Leach, P. G. L.
6
2011
Qualitative behaviour of a model of an SIRS epidemic: stability and permanence. Zbl 1231.34083
El Maroufy, Hamid; Lahrouz, Adil; Leach, P. G. L.
5
2011
Properties of the Calogero-Degasperis-Ibragimov-Shabat differential sequence. Zbl 1252.37057
Euler, M.; Euler, N.; Leach, P. G. L.
3
2011
Embedding the Vasicek model into the Cox-Ingersoll-Ross model. Zbl 1205.35319
Sinkala, W.; Leach, P. G. L.; O’Hara, J. G.
1
2011
Some Lagrangians for systems without a Lagrangian. Zbl 1244.70011
Nucci, M. C.; Leach, P. G. L.
1
2011
An algebraic approach to laying a ghost to rest. Zbl 1189.81138
Nucci, M. C.; Leach, P. G. L.
7
2010
Group classification of a class of equations arising in financial mathematics. Zbl 1197.91203
Ivanova, N. M.; Sophocleous, C.; Leach, P. G. L.
5
2010
Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry. Zbl 1200.34040
Leach, P. G. L.; Warne, R. R.; Caister, N.; Naicker, V.; Euler, N.
3
2010
A note on the integrability of the classical portfolio selection model. Zbl 1195.91147
Naicker, V.; O’Hara, J. G.; Leach, P. G. L.
3
2010
The quantization of a fourth-order equation without a second-order Lagrangian. Zbl 1217.34060
Nucci, M. C.; Leach, P. G. L.
1
2010
On the systematic approach to the classification of differential equations by group theoretical methods. Zbl 1173.35318
Andriopoulos, K.; Dimas, S.; Leach, P. G. L.; Tsoubelis, D.
25
2009
An old method of Jacobi to find Lagrangians. Zbl 1205.34011
Nucci, M. C.; Leach, P. G. L.
14
2009
Complete specification of some partial differential equations that arise in financial mathematics. Zbl 1362.35310
Dimas, S.; Andriopoulos, K.; Tsoubelis, D.; Leach, P. G. L.
13
2009
Aspects of proper differential sequences of ordinary differential equations. Zbl 1190.34040
Euler, N.; Leach, P. G. L.
7
2009
The method of Ostrogradsky, quantization, and a move toward a ghost-free future. Zbl 1304.81116
Nucci, M. C.; Leach, P. G. L.
7
2009
Quasi-Lie schemes and Emden-Fowler equations. Zbl 1283.34034
Cariñena, José F.; Leach, P. G. L.; de Lucas, Javier
6
2009
Nonlocal symmetries and integrable ordinary differential equations: \(\ddot x+3x\dot x+x^3=0\) and its generalizations. Zbl 1256.34025
Karasu, A.; Leach, P. G. L.
5
2009
A novel Riccati sequence. Zbl 1362.34005
Leach, P. G. L.; Euler, N.
3
2009
Lie algebraic treatment of the quadratic invariants for a quantum system. Zbl 1174.81002
Abdalla, M. Sebawe; Leach, P. G. L.
2
2009
Complete symmetry group and nonlocal symmetries for some two-dimensional evolution equations. Zbl 1195.35019
Myeni, S. M.; Leach, P. G. L.
1
2009
The Ermakov equation: a commentary. Zbl 1199.34006
Leach, P. G. L.; Andriopoulos, K.
42
2008
Jacobi’s last multiplier and Lagrangians for multidimensional systems. Zbl 1152.81573
Nucci, M. C.; Leach, P. G. L.
28
2008
Invariance properties of a general bond-pricing equation. Zbl 1147.91017
Sinkala, W.; Leach, P. G. L.; O’Hara, J. G.
23
2008
The Jacobi last multiplier and its applications in mechanics. Zbl 1158.70008
Nucci, M. C.; Leach, P. G. L.
21
2008
Nonlinear shear-free radiative collapse. Zbl 1255.83038
Misthry, S. S.; Maharaj, S. D.; Leach, P. G. L.
19
2008
An optimal system and group-invariant solutions of the Cox-Ingersoll-Ross pricing equation. Zbl 1142.91466
Sinkala, W.; Leach, P. G. L.; O’Hara, J. G.
18
2008
Zero-coupon bond prices in the Vasicek and CIR models: their computation as group-invariant solutions. Zbl 1132.91438
Sinkala, W.; Leach, P. G. L.; O’Hara, J. G.
16
2008
Symmetry and singularity properties of the generalised Kummer-Schwarz and related equations. Zbl 1157.34030
Leach, P. G. L.
12
2008
Algebraic properties of evolution partial differential equations modelling prices of commodities. Zbl 1132.35491
Sophocleous, C.; Leach, P. G. L.; Andriopoulos, K.
10
2008
The mixmaster universe: the final reckoning? Zbl 1138.83012
Andriopoulos, K.; Leach, P. G. L.
5
2008
Noetherian first integrals. Zbl 1160.70008
Leach, P. G. L.; Flessas, G. P.
2
2008
Singularity analysis and integrability of a simplified multistrain model for the transmission of tuberculosis and dengue fever. Zbl 1169.34004
Nucci, M. C.; Leach, Peter G. L.
1
2008
A note on the integrability of a class of nonlinear ordinary differential equations. Zbl 1362.34063
Moyo, Sibusiso; Leach, P. G. L.
1
2008
An invariant for the doubly generalized classical Ermakov-Pinney system and its quantal equivalent. Zbl 1136.81362
Leach, P. G. L.; Andriopoulos, K.
1
2008
The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394
Euler, Marianna; Euler, Norbert; Leach, Peter
25
2007
Lagrangians galore. Zbl 1153.81413
Nucci, M. C.; Leach, P. G. L.
24
2007
Symmetry-based solution of a model for a combination of a risky investment and a riskless investment. Zbl 1154.91027
Leach, P. G. L.; O’Hara, J. G.; Sinkala, W.
13
2007
Integrability analysis of the Emden-Fowler equation. Zbl 1167.37032
Govinder, K. S.; Leach, P. G. L.
12
2007
Symmetry and singularity properties of second-order ordinary differential equations of Lie’s Type III. Zbl 1121.34091
Andriopoulos, K.; Leach, P. G. L.
8
2007
Lie integrable cases of the simplified multistrain/two-stream model for tuberculosis and dengue fever. Zbl 1118.92054
Nucci, M. C.; Leach, P. G. L.
8
2007
Autonomous self-similar ordinary differential equations and the Painlevé connection. Zbl 1116.34032
Andriopoulos, K.; Leach, P. G. L.
4
2007
Fuchs’ solution of Painlevé VI equation by means of Jacobi’s last multiplier. Zbl 1121.33021
Nucci, M. C.; Leach, P. G. L.
3
2007
Heuristic analysis of the complete symmetry group and nonlocal symmetries for some nonlinear evolution equations. Zbl 1145.35008
Myeni, S. M.; Leach, P. G. L.
3
2007
Singularity analysis in nonlinear biomathematical models: two case studies. Zbl 1144.34031
Meletlidou, E.; Leach, P. G. L.
2
2007
Algebraic solutions of some partial differential equations arising in financial mathematics and related areas. Zbl 1158.60358
Leach, P. G. L.; Andriopoulos, K.
1
2007
Symmetry and singularity properties of a system of ordinary differential equations arising in the analysis of the nonlinear telegraph equations. Zbl 1129.34030
Leach, P. G. L.
1
2007
Nonlocal symmetries past, present and future. Zbl 1199.34001
Leach, P. G. L.; Andriopoulos, K.
1
2007
Lie symmetries, quantisation and \(c\)-isochronous nonlinear oscillators. Zbl 1097.81042
Nucci, M. C.; Leach, P. G. L.; Andriopoulos, K.
8
2006
Nonlocal symmetries and the complete symmetry group of \(1+1\) evolution equations. Zbl 1110.35327
Myeni, S. M.; Leach, P. G. L.
8
2006
Analytic behaviour of competition among three species. Zbl 1109.92053
Leach, P. G. L.; Miritzis, J.
7
2006
Properties of the dominant behaviour of quadratic systems. Zbl 1121.34043
Maharaj, A.; Leach, P. G. L.
3
2006
Reduction properties of ordinary differential equations of maximal symmetry. Zbl 1183.37101
Moyo, S.; Leach, P. G. L.
2
2006
‘Air’ polynomials, Lie point symmetries and a hyperbolic equation. Zbl 1105.37038
Leach, P. G. L.
1
2006
Lie point symmetries: an alternative approach to wave-functions. Zbl 1211.35232
Andriopoulos, K.; Leach, P. G. L.
1
2006
Riemann’s equation and Lie point symmetries. Zbl 1087.76092
Flessas, G. P.; Leach, P. G. L.
1
2006
Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics. Zbl 1080.35163
Naicker, V.; Andriopoulos, K.; Leach, P. G. L.
18
2005
Jacobi’s last multiplier and the complete symmetry group of the Ermakov-Pinney equation. Zbl 1079.34026
Nucci, M. C.; Leach, P. G. L.
14
2005
Symmetry properties of autonomous integrating factors. Zbl 1106.34022
Moyo, Sibusiso; Leach, P. G. L.
6
2005
Wavefunctions for the time-dependent linear oscillator and Lie point symmetries. Zbl 1067.81020
Andriopoulos, K.; Leach, P. G. L.
6
2005
Wigner functions for time-dependent coupled linear oscillators via linear and quadratic invariant processes. Zbl 1063.81075
Sebawe Abdalla, M.; Leach, P. G. L.
5
2005
The solution of some quantum nonlinear oscillators with the common symmetry group S L \((2,\mathbb{R})\). Zbl 1065.81043
Leach, P. G. L.
5
2005
Some group theoretical aspects of nonlinear quantal oscillators. Zbl 1362.81042
Andriopoulos, K.; Leach, P. G. L.
4
2005
Ermakov’s superintegrable toy and nonlocal symmetries. Zbl 1106.34021
Leach, P. G. L.; Karasu, A.; Nucci, M. C.; Andriopoulos, K.
2
2005
Generalised symmetries and the Ermakov-Lewis invariant. Zbl 1079.34025
Goodall, R.; Leach, P. G. L.
1
2005
Jacobi’s last multiplier and symmetries for the Kepler problem plus a lineal story. Zbl 1065.70007
Nucci, M. C.; Leach, P. G. L.
20
2004
An integrable SIS model. Zbl 1067.92054
Nucci, M. C.; Leach, P. G. L.
13
2004
...and 123 more Documents
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Cited by 975 Authors

149 Leach, Peter Gavin Lawrence
48 Paliathanasis, Andronikos
42 Nucci, Maria Clara
37 Mahomed, Fazal M.
33 Guha, Partha
31 Maharaj, Sunil D.
28 Govinder, Keshlan Sathasiva
26 Ghose Choudhury, Anindya
21 Cariñena, José F.
20 Lakshmanan, Muthusamy
20 Senthilvelan, Murugaian
20 Sophocleous, Christodoulos
19 Llibre, Jaume
18 de Lucas, Javier
18 Khalique, Chaudry Masood
16 Rañada, Manuel F.
15 Chandrasekar, V. K.
14 Muriel, Concepción
14 Qadir, Asghar
14 Tsamparlis, Michael
13 Campoamor-Stursberg, Rutwig
13 Kara, Abdul Hamid
13 Lewis, H. Ralph
11 Andriopoulos, Kostis
11 Bouquet, Serge
11 Ndogmo, Jean-Claude
11 Valls Anglés, Cláudia
10 Abraham-Shrauner, Barbara
10 Moyo, Sibusiso
9 Euler, Norbert
9 Feix, Marc Roy
9 Jamal, Sameerah
9 Naeem, Imran
9 Popovych, Roman O.
9 Ruiz, Adrián Tonatiuh
9 Tamizhmani, K. M.
8 Gubbiotti, Giorgio
8 Meleshko, Sergey V.
8 Thirukkanesh, S.
7 Muatjetjeja, Ben
7 Vaneeva, Olena O.
6 Abdalla, M. Sebawe
6 Ali, Sajid
6 Bozhkov, Yuri Dimitrov
6 Flessas, George P.
6 Goedert, João
6 Gorringe, V. M.
6 Halder, Amlan Kanti
6 Khanra, Barun
6 Kudryashov, Nikolaĭ Alekseevich
6 Leon, Genly
6 Momoniat, Ebrahim
6 Musielak, Zdzislaw E.
6 Pradeep, R. Gladwin
6 Sinelshchikov, Dmitry I.
6 Sinkala, Winter
6 Sinuvasan, R.
5 Ayub, Muhammad
5 Gaeta, Giuseppe
5 Haas, Fernando
5 Herranz, Francisco José
5 Liu, Hanze
5 Mahomed, K. S.
5 Mustafa, Muhammad Tahir
5 Naz, Rehana
5 O’Hara, John G.
5 Pucacco, Giuseppe
5 Romero, Juan Luis
5 Sardón, Cristina
4 Al-Dweik, Ahmad Y.
4 Ballesteros, Angel
4 Biswas, Anjan
4 Bruzón, Maria Santos
4 Dimakis, Nikolaos
4 Esen, Oğul
4 Gandarias Núñez, Maria Luz
4 Güngör, Faruk
4 Özer, Teoman
4 Rosquist, Kjell
4 Santander, Mariano
4 Scopa, Stefano
4 Suksern, Supaporn
4 Xin, Xiangpeng
4 Zaman, Fiazud Din
4 Znojil, Miloslav
3 Abebe, G. Z.
3 Akgül, Ali
3 Azad, Hassan
3 Bérard, Alain
3 Bokhari, Ashfaque H.
3 Boyko, Vyacheslav M.
3 Caister, Nicolette C.
3 Caviglia, Giacomo
3 Charalambous, Kyriakos
3 Christodoulakis, Theodosios
3 Cotsakis, Spiros
3 Crâşmăreanu, Mircea
3 Damianou, Pantelis Andrea
3 Dimas, Stylianos
3 Duarte, L. G. S.
...and 875 more Authors
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Cited in 179 Serials

154 Journal of Mathematical Physics
71 Journal of Nonlinear Mathematical Physics
51 Journal of Mathematical Analysis and Applications
45 Communications in Nonlinear Science and Numerical Simulation
31 Physics Letters. A
25 General Relativity and Gravitation
25 Applied Mathematics and Computation
24 Annals of Physics
22 Mathematical Methods in the Applied Sciences
20 International Journal of Theoretical Physics
19 Journal of Geometry and Physics
19 Quaestiones Mathematicae
18 Journal of Physics A: Mathematical and Theoretical
17 Chaos, Solitons and Fractals
17 International Journal of Geometric Methods in Modern Physics
13 Acta Mechanica
13 Nonlinear Analysis. Real World Applications
12 Nonlinear Dynamics
11 Modern Physics Letters A
11 Journal of Applied Mathematics
10 Journal of Engineering Mathematics
10 Physica D
10 Applied Mathematics Letters
9 Theoretical and Mathematical Physics
9 Celestial Mechanics and Dynamical Astronomy
9 International Journal of Modern Physics D
9 Abstract and Applied Analysis
9 Advances in Mathematical Physics
8 Discrete and Continuous Dynamical Systems. Series S
7 Physica A
7 Journal of Differential Equations
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Mathematical Problems in Engineering
6 Journal of Computational and Applied Mathematics
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 International Journal of Nonlinear Sciences and Numerical Simulation
5 Classical and Quantum Gravity
5 Regular and Chaotic Dynamics
4 Physics Letters. B
4 Reports on Mathematical Physics
4 Acta Applicandae Mathematicae
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Journal of Difference Equations and Applications
4 New Journal of Physics
3 Communications in Algebra
3 Computer Physics Communications
3 European Journal of Physics
3 Indian Journal of Pure & Applied Mathematics
3 Physics Reports
3 Mathematics and Computers in Simulation
3 Journal of Symbolic Computation
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3 Journal of Mathematical Chemistry
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3 Lobachevskii Journal of Mathematics
3 The ANZIAM Journal
3 Acta Mechanica Sinica
3 Symmetry
3 Afrika Matematika
3 Mathematics
3 International Journal of Applied and Computational Mathematics
3 AMM. Applied Mathematics and Mechanics. (English Edition)
2 International Journal of Modern Physics A
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2 Computers & Mathematics with Applications
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2 Reviews in Mathematical Physics
2 Studies in Applied Mathematics
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2 Differential Equations and Dynamical Systems
2 Chaos
2 European Journal of Mechanics. A. Solids
2 Qualitative Theory of Dynamical Systems
2 Journal of Cosmology and Astroparticle Physics
2 Advances in Difference Equations
2 Waves in Random and Complex Media
2 Applications and Applied Mathematics
2 Frontiers of Mathematics in China
2 Chinese Journal of Physics (Taipei)
2 Applicable Analysis and Discrete Mathematics
2 International Journal of Differential Equations
2 Physical Review A, Third Series
2 Arabian Journal of Mathematics
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Journal of Computational Physics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
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Cited in 50 Fields

411 Ordinary differential equations (34-XX)
236 Mechanics of particles and systems (70-XX)
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192 Dynamical systems and ergodic theory (37-XX)
123 Quantum theory (81-XX)
101 Relativity and gravitational theory (83-XX)
58 Biology and other natural sciences (92-XX)
52 Topological groups, Lie groups (22-XX)
48 Fluid mechanics (76-XX)
46 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
39 Nonassociative rings and algebras (17-XX)
34 Differential geometry (53-XX)
32 Global analysis, analysis on manifolds (58-XX)
28 Astronomy and astrophysics (85-XX)
25 Numerical analysis (65-XX)
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14 Optics, electromagnetic theory (78-XX)
12 Classical thermodynamics, heat transfer (80-XX)
11 Difference and functional equations (39-XX)
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