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Leach, Peter Gavin Lawrence

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Author ID: leach.peter-gavin-lawrence Recent zbMATH articles by "Leach, Peter Gavin Lawrence"
Published as: Leach, P.; Leach, P. G.; Leach, P. G. L.; Leach, Peter; Leach, Peter G. L.
External Links: MGP · Math-Net.Ru · dblp
Documents Indexed: 263 Publications since 1977, including 4 Books
Reviewing Activity: 41 Reviews
Biographic References: 2 Publications
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Co-Authors

37 single-authored
26 Andriopoulos, Kostis
26 Nucci, Maria Clara
23 Govinder, Keshlan Sathasiva
16 Paliathanasis, Andronikos
14 Sophocleous, Christodoulos
12 Cotsakis, Spiros
12 Mahomed, Fazal M.
11 Flessas, George P.
10 Moyo, Sibusiso
9 Euler, Norbert
9 O’Hara, James Gabriel
8 Bouquet, Serge
8 Feix, Marc Roy
8 Gorringe, V. M.
7 Maharaj, Sunil D.
7 Tamizhmani, K. M.
6 Lewis, H. Ralph
6 Sinuvasan, R.
5 Lemmer, R. L.
5 Sinkala, Winter
4 Abdalla, M. Sebawe
4 Abraham-Shrauner, Barbara
4 Euler, Marianna
4 Géronimi, Claude
4 Krishnakumar, Krish T.
4 Miritzis, John
3 Charalambous, Kyriakos
3 Dimas, Stelios
3 Halder, Amlan K.
3 Kara, Abdul Hamid
3 Karasu, Atalay
3 Maartens, Roy
3 Maharaj, Akash V.
3 Morris, Richard M.
3 Myeni, S. M.
3 Naicker, Viroshan
3 O’Hara, John G.
3 Sarlet, Willy
2 Agbaje, T. M.
2 Cairó, Laurent
2 Damianou, Pantelis Andrea
2 Dewisme, Alain
2 Ghose Choudhury, Anindya
2 Guha, Partha
2 Ivanova, Nataliya M.
2 Krishnakumar, Kalmanje
2 Popovych, Roman O.
2 Prince, Geoff E.
2 Steeb, Willi-Hans
2 Taylor, Derek R.
2 Vaneeva, Olena O.
2 White, David P.
1 Athorne, Chris
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 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 Lahrouz, Adil
1 Mallik, Asok Kumar
1 Matabal, P. H.
1 Meletlidou, Efthymia
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 Tsoubelis, Dimitri
1 Tsoubelis, Dimitrios
1 Warne, R. R.
1 Wolf, Thomas R.
1 Wolfaardt, M. F.
1 Znojil, Miloslav
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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
12 Quaestiones Mathematicae
8 Mathematical Methods in the Applied Sciences
6 Journal of Engineering Mathematics
5 Physics Letters. A
5 Physica Scripta
4 International Journal of Non-Linear Mechanics
4 Journal of the Australian Mathematical Society, Series B
4 Gravitation & Cosmology
4 Applicable Analysis and Discrete Mathematics
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 Mathematics
2 General Relativity and Gravitation
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
1 Indian Journal of Pure & Applied Mathematics
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 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 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 Afrika Matematika

Publications by Year

Citations contained in zbMATH

206 Publications have been cited 1,706 times in 741 Documents Cited by Year
Symmetry Lie algebras of \(n\)th order ordinary differential equations. Zbl 0719.34018
Mahomed, F. M.; Leach, P. G. L.
64
1990
The linear symmetries of a nonlinear differential equation. Zbl 0618.34009
Mahomed, F. M.; Leach, P. G. L.
38
1985
First integrals for the modified Emden equation \(\ddot q+\alpha (t)\dot q+q^ n=0\). Zbl 0587.34004
Leach, P. G. L.
36
1985
Lie algebras associated with scalar second-order ordinary differential equations. Zbl 0724.34003
Mahomed, F. M.; Leach, P. G. L.
33
1989
Lie point symmetries for systems of second order linear ordinary differential equations. Zbl 0649.34018
Gorringe, V. M.; Leach, P. G. L.
33
1988
A direct approach to finding exact invariants for one-dimensional time- dependent classical Hamiltonians. Zbl 0515.70018
Lewis, H. Ralph; Leach, P. G. L.
32
1982
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.
30
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.
27
1997
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.
26
1995
The Ermakov equation: a commentary. Zbl 1199.34006
Leach, P. G. L.; Andriopoulos, K.
25
2008
The Painlevé test, hidden symmetries and the equation \(y''+yy'+ky^ 3=0\). Zbl 0806.34008
Lemmer, R. L.; Leach, P. G. L.
25
1993
The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394
Euler, Marianna; Euler, Norbert; Leach, Peter
22
2007
Symmetries of nonlinear differential equations and linearisation. Zbl 0625.34044
Sarlet, W.; Mahomed, F. M.; Leach, P. G. L.
22
1987
An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity. Zbl 0459.70024
Leach, P. G. L.
22
1981
Jacobi’s last multiplier and Lagrangians for multidimensional systems. Zbl 1152.81573
Nucci, M. C.; Leach, P. G. L.
21
2008
The harmony in the Kepler and related problems. Zbl 1030.70007
Nucci, M. C.; Leach, P. G. L.
21
2001
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.
21
2001
The Lie algebra sl(3,\({\mathcal R})\) and linearization. Zbl 0683.34004
Mahomed, F. M.; Leach, P. G. L.
21
1989
Hidden and contact symmetries of ordinary differential equations. Zbl 0879.58068
Abraham-Shrauner, Barbara; Leach, P. G. L.; Govinder, K. S.; Ratcliff, Gail
20
1995
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.
19
2009
Lie and Noether counting theorems for one-dimensional systems. Zbl 0783.34002
Mahomed, F. M.; Kara, A. H.; Leach, P. G. L.
19
1993
Nonlinear shear-free radiative collapse. Zbl 1255.83038
Misthry, S. S.; Maharaj, S. D.; Leach, P. G. L.
18
2008
On the determination of non-local symmetries. Zbl 0869.58045
Govinder, K. S.; Leach, P. G. L.
18
1995
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.
18
1988
Lagrangians galore. Zbl 1153.81413
Nucci, M. C.; Leach, P. G. L.
17
2007
Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem. Zbl 0479.70020
Leach, P. G. L.
17
1981
Invariance properties of a general bond-pricing equation. Zbl 1147.91017
Sinkala, W.; Leach, P. G. L.; O’Hara, J. G.
16
2008
Jacobi’s last multiplier and symmetries for the Kepler problem plus a lineal story. Zbl 1065.70007
Nucci, M. C.; Leach, P. G. L.
16
2004
The economy of complete symmetry groups for linear higher dimensional systems. Zbl 1362.34052
Andriopoulos, K.; Leach, P. G. L.
16
2002
The determination of nonlocal symmetries by the technique of reduction of order. Zbl 0977.34029
Nucci, M. C.; Leach, P. G. L.
16
2000
Solution of generalized Emden-Fowler equations with two symmetries. Zbl 0812.34001
Mellin, Conrad M.; Mahomed, F. M.; Leach, P. G. L.
16
1994
The complete symmetry group of the one-dimensional time-dependent harmonic oscillator. Zbl 0451.70020
Leach, P. G. L.
16
1980
Jacobi’s last multiplier and the complete symmetry group of the Euler-Poinsot system. Zbl 1362.35027
Nucci, M. C.; Leach, P. G. L.
15
2002
Exact solutions for the Tikekar superdense star. Zbl 0873.34004
Maharaj, S. D.; Leach, P. G. L.
15
1996
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.
15
1977
Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics. Zbl 1080.35163
Naicker, V.; Andriopoulos, K.; Leach, P. G. L.
14
2005
Symmetries of first integrals and their associated differential equations. Zbl 0947.34021
Leach, P. G.; Govinder, K. S.; Abraham-Shrauner, B.
14
1999
First integrals versus configurational invariants and a weak form of complete integrability. Zbl 0581.58025
Sarlet, W.; Leach, P. G. L.; Cantrijn, F.
14
1985
The Jacobi last multiplier and its applications in mechanics. Zbl 1158.70008
Nucci, M. C.; Leach, P. G. L.
13
2008
The algebraic structure of the first integrals of third-order linear equations. Zbl 0986.34033
Govinder, K. S.; Leach, P. G. L.
13
1995
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
Exact invariants for a class of time-dependent nonlinear Hamiltonian systems. Zbl 0487.70022
Lewis, H. Ralph; Leach, P. G. L.
13
1982
On a generalization of the Lewis invariant for the time-dependent harmonic oscillator. Zbl 0384.70029
Leach, P. G. L.
13
1978
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.
12
2008
Jacobi’s last multiplier and the complete symmetry group of the Ermakov-Pinney equation. Zbl 1079.34026
Nucci, M. C.; Leach, P. G. L.
12
2005
Generalisations of the Laplace-Runge-Lenz vector. Zbl 1039.70007
Leach, P. G. L.; Flessas, G. P.
12
2003
Self-similar solutions of the generalized Emden-Fowler equation. Zbl 0760.34005
Leach, P. G. L.; Maartens, R.; Maharaj, S. D.
12
1992
A further note on the Henon-Heiles problem. Zbl 0476.70016
Leach, P. G. L.
12
1981
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.
11
2008
Integrability analysis of the Emden-Fowler equation. Zbl 1167.37032
Govinder, K. S.; Leach, P. G. L.
11
2007
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
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.
11
1996
Integrability analysis of a conformal equation in relativity. Zbl 0823.34008
Govinder, K. S.; Leach, P. G. L.; Maharaj, S. D.
11
1995
Shear-free spherically symmetric solutions with conformal symmetry. Zbl 0715.53053
Maharaj, S. D.; Leach, P. G. L.; Maartens, R.
11
1991
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
The Schrödinger equation for the \(x^ 2+\lambda x^ 2/(1+gx^ 2)\) interaction. Zbl 0656.35023
Blecher, M. H.; Leach, P. G. L.
11
1987
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.
10
2009
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.
10
2007
An integrable SIS model. Zbl 1067.92054
Nucci, M. C.; Leach, P. G. L.
10
2004
Exponential nonlocal symmetries and nonnormal reduction of order. Zbl 1014.34027
Géronimi, C.; Feix, M. R.; Leach, P. G. L.
10
2001
Lie symmetries of generalized Burgers equations: application to boundary-value problems. Zbl 1398.35208
Vaneeva, O. O.; Sophocleous, C.; Leach, P. G. L.
9
2015
Algebraic properties of evolution partial differential equations modelling prices of commodities. Zbl 1132.35491
Sophocleous, C.; Leach, P. G. L.; Andriopoulos, K.
9
2008
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
On the uniqueness of the Schwarzian and linearisation by nonlocal contact transformation. Zbl 0938.34078
Leach, P. G.; Govinder, K. S.
9
1999
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.
9
1997
Comment on a theorem of Hojman and its generalizations. Zbl 0945.70519
Pillay, T.; Leach, P. G. L.
9
1996
Painlevé analysis of the mixmaster universe. Zbl 0843.58144
Cotsakis, Spiros; Leach, P. G. L.
9
1994
Hidden symmetries of nonlinear ordinary differential equations. Zbl 0811.34006
Abraham-Shrauner, B.; Leach, P. G. L.
9
1993
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
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.
9
1991
The first integrals and orbit equation for the Kepler problem with drag. Zbl 0626.70027
Leach, P. G. L.
9
1987
First integrals for some nonlinear time-dependent Hamiltonian systems. Zbl 0564.70018
Leach, P. G. L.; Lewis, H. R.; Sarlet, W.
9
1984
An old method of Jacobi to find Lagrangians. Zbl 1205.34011
Nucci, M. C.; Leach, P. G. L.
8
2009
Symmetry and singularity properties of the generalised Kummer-Schwarz and related equations. Zbl 1157.34030
Leach, P. G. L.
8
2008
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
The ladder problem: Painlevé integrability and explicit solution. Zbl 1040.37039
Andriopoulos, K.; Leach, P. G. L.; Nucci, M. C.
8
2003
Symmetries and integrating factors. Zbl 1362.34056
Leach, P. G. L.; Bouquet, S. É.
8
2002
Symmetry, singularities and integrability in complex dynamics. I: The reduction problem. Zbl 0989.34074
Leach, P. G. L.; Cotsakis, S.; Flessas, G. P.
8
2000
Expanding spherically symmetric models without shear. Zbl 0848.35134
Maharaj, S. D.; Leach, P. G. L.; Maartens, R.
8
1996
Berry’s phase and wavefunctions for time-dependent Hamilton systems. Zbl 0732.35078
Leach, P. G. L.
8
1990
Sl(3,R) and the repulsive oscillator. Zbl 0429.22011
Leach, P. G. L.
8
1980
Algebraic solution of the Stein-Stein model for stochastic volatility. Zbl 1221.91059
Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L.
7
2011
Aspects of proper differential sequences of ordinary differential equations. Zbl 1190.34040
Euler, N.; Leach, P. G. L.
7
2009
Lie symmetries, quantisation and \(c\)-isochronous nonlinear oscillators. Zbl 1097.81042
Nucci, M. C.; Leach, P. G. L.; Andriopoulos, K.
7
2006
Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator. Zbl 1071.70006
Leach, P. G. L.; Nucci, M. C.
7
2004
Remarks on the symmetry Lie algebras of first integrals of scalar third-order ordinary differential equations with maximal symmetry. Zbl 0919.34009
Flessas, G. R.; Govinder, K. S.; Leach, P. G. L.
7
1994
Contact symmetry algebras of scalar second-order ordinary differential equations. Zbl 0738.34008
Mahomed, F. M.; Leach, P. G. L.
7
1991
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.
7
1985
Exact solutions of the Schrödinger equation for a class of three- dimensional isotropic anharmonic oscillators. Zbl 0557.35026
Leach, P. G. L.
7
1984
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.
6
2016
Symmetry and singularity properties of second-order ordinary differential equations of Lie’s Type III. Zbl 1121.34091
Andriopoulos, K.; Leach, P. G. L.
6
2007
Analytic behaviour of competition among three species. Zbl 1109.92053
Leach, P. G. L.; Miritzis, J.
6
2006
Nonlocal symmetries and the complete symmetry group of \(1+1\) evolution equations. Zbl 1110.35327
Myeni, S. M.; Leach, P. G. L.
6
2006
Symmetry properties of autonomous integrating factors. Zbl 1106.34022
Moyo, Sibusiso; Leach, P. G. L.
6
2005
First integrals and reduction of a class of nonlinear higher order ordinary differential equations. Zbl 1055.34076
Euler, N.; Leach, P. G. L.
6
2003
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.
6
2003
Exceptional properties of second and third order ordinary differential equations of maximal symmetry. Zbl 0974.34033
Moyo, S.; Leach, P. G. L.
6
2000
Noetherian integrals via nonlocal transformation. Zbl 1020.70504
Govinder, K. S.; Leach, P. G. L.
6
1995
Noether equivalence problem for particle Lagrangians. Zbl 0814.70010
Kara, A. H.; Mahomed, F. M.; Leach, P. G. L.
6
1994
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.
1
2020
Nonlocal representation of the \(\mathrm{sl}(2,R)\) algebra for the Chazy equation. Zbl 1412.34241
Jamal, Sameerah; Leach, Peter G. L.; Paliathanasis, Andronikos
1
2019
Noetherian symmetries of noncentral forces with drag term. Zbl 1361.34032
Ghose-Choudhury, A.; Guha, Partha; Paliathanasis, Andronikos; Leach, P. G. L.
2
2017
Symmetries and singularities of the Szekeres system. Zbl 1371.83215
Paliathanasis, Andronikos; Leach, P. G. L.
1
2017
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.
6
2016
Nonlinear ordinary differential equations: a discussion on symmetries and singularities. Zbl 1387.34049
Paliathanasis, Andronikos; Leach, P. G. L.
4
2016
On the Hojman conservation quantities in cosmology. Zbl 1367.83110
Paliathanasis, A.; Leach, P. G. L.; Capozziello, S.
3
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.
2
2016
Analytical solutions in \(R+qR^n\) cosmology from singularity analysis. Zbl 1366.83116
Paliathanasis, Andronikos; Leach, P. G. L.
1
2016
Lie symmetries of \((1+2)\) nonautonomous evolution equations in financial mathematics. Zbl 1358.91102
Paliathanasis, Andronikos; Morris, Richard M.; Leach, Peter G. L.
1
2016
Lie symmetries of generalized Burgers equations: application to boundary-value problems. Zbl 1398.35208
Vaneeva, O. O.; Sophocleous, C.; Leach, P. G. L.
9
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.
4
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
Lie groups and quantum mechanics. Zbl 1308.81117
Nucci, M. C.; Leach, P. G. L.
4
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.
2
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
Vaneeva, O. O. (ed.); Sophocleous, Christodoulos (ed.); Popovych, R. O. (ed.); Leach, P. G. L. (ed.); Boyko, V. M. (ed.); Damianou, Pantelis (ed.)
1
2013
Lie symmetries and Noether symmetries. Zbl 1289.70027
Leach, P. G. L.
4
2012
Hidden and not so hidden symmetries. Zbl 1239.34031
Leach, P. G. L.; Govinder, K. S.; Andriopoulos, K.
4
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.
3
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.
7
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.
5
2011
Singularity analysis for autonomous and nonautonomous differential equations. Zbl 1289.34002
Andriopoulos, Kostis; Leach, Peter
2
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.
2
2011
Properties of the Calogero-Degasperis-Ibragimov-Shabat differential sequence. Zbl 1252.37057
Euler, M.; Euler, N.; Leach, P. G. L.
2
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.
2
2011
Group classification of a class of equations arising in financial mathematics. Zbl 1197.91203
Ivanova, N. M.; Sophocleous, C.; Leach, P. G. L.
4
2010
An algebraic approach to laying a ghost to rest. Zbl 1189.81138
Nucci, M. C.; Leach, P. G. L.
4
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
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.
2
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.
19
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.
10
2009
An old method of Jacobi to find Lagrangians. Zbl 1205.34011
Nucci, M. C.; Leach, P. G. L.
8
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.
5
2009
Quasi-Lie schemes and Emden-Fowler equations. Zbl 1283.34034
Cariñena, José F.; Leach, P. G. L.; de Lucas, Javier
4
2009
A novel Riccati sequence. Zbl 1362.34005
Leach, P. G. L.; Euler, N.
3
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.
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.
25
2008
Jacobi’s last multiplier and Lagrangians for multidimensional systems. Zbl 1152.81573
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.
18
2008
Invariance properties of a general bond-pricing equation. Zbl 1147.91017
Sinkala, W.; Leach, P. G. L.; O’Hara, J. G.
16
2008
The Jacobi last multiplier and its applications in mechanics. Zbl 1158.70008
Nucci, M. C.; Leach, P. G. L.
13
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.
12
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.
11
2008
Algebraic properties of evolution partial differential equations modelling prices of commodities. Zbl 1132.35491
Sophocleous, C.; Leach, P. G. L.; Andriopoulos, K.
9
2008
Symmetry and singularity properties of the generalised Kummer-Schwarz and related equations. Zbl 1157.34030
Leach, P. G. L.
8
2008
The mixmaster universe: the final reckoning? Zbl 1138.83012
Andriopoulos, K.; Leach, P. G. L.
3
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
Noetherian first integrals. Zbl 1160.70008
Leach, P. G. L.; Flessas, G. P.
1
2008
The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394
Euler, Marianna; Euler, Norbert; Leach, Peter
22
2007
Lagrangians galore. Zbl 1153.81413
Nucci, M. C.; Leach, P. G. L.
17
2007
Integrability analysis of the Emden-Fowler equation. Zbl 1167.37032
Govinder, K. S.; Leach, P. G. L.
11
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.
10
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
Symmetry and singularity properties of second-order ordinary differential equations of Lie’s Type III. Zbl 1121.34091
Andriopoulos, K.; Leach, P. G. L.
6
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
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
Autonomous self-similar ordinary differential equations and the Painlevé connection. Zbl 1116.34032
Andriopoulos, K.; Leach, P. G. L.
3
2007
Nonlocal symmetries past, present and future. Zbl 1199.34001
Leach, P. G. L.; Andriopoulos, K.
1
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
Singularity analysis in nonlinear biomathematical models: two case studies. Zbl 1144.34031
Meletlidou, E.; Leach, P. G. L.
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
Lie symmetries, quantisation and \(c\)-isochronous nonlinear oscillators. Zbl 1097.81042
Nucci, M. C.; Leach, P. G. L.; Andriopoulos, K.
7
2006
Analytic behaviour of competition among three species. Zbl 1109.92053
Leach, P. G. L.; Miritzis, J.
6
2006
Nonlocal symmetries and the complete symmetry group of \(1+1\) evolution equations. Zbl 1110.35327
Myeni, S. M.; Leach, P. G. L.
6
2006
Properties of the dominant behaviour of quadratic systems. Zbl 1121.34043
Maharaj, A.; Leach, P. G. L.
3
2006
Lie point symmetries: an alternative approach to wave-functions. Zbl 1211.35232
Andriopoulos, K.; Leach, P. G. L.
2
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
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.
14
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.
12
2005
Symmetry properties of autonomous integrating factors. Zbl 1106.34022
Moyo, Sibusiso; Leach, P. G. L.
6
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
Wavefunctions for the time-dependent linear oscillator and Lie point symmetries. Zbl 1067.81020
Andriopoulos, K.; Leach, P. G. L.
4
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.
4
2005
Ermakov’s superintegrable toy and nonlocal symmetries. Zbl 1106.34021
Leach, P. G. L.; Karasu, A.; Nucci, M. C.; Andriopoulos, K.
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.
16
2004
An integrable SIS model. Zbl 1067.92054
Nucci, M. C.; Leach, P. G. L.
10
2004
Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator. Zbl 1071.70006
Leach, P. G. L.; Nucci, M. C.
7
2004
An oscillatory population model. Zbl 1063.92043
Leach, P. G. L.; Andriopoulos, K.
5
2004
The complete symmetry group of the generalised hyperladder problem. Zbl 1053.34038
Andriopoulos, K.; Leach, P. G. L.
5
2004
Competing species: Integrability and stability. Zbl 1055.34059
Leach, P. G. L.; Miritzis, J.
5
2004
Symmetry methods applied to a mathematical model of brain tumour. Zbl 1094.35012
Moyo, S.; Leach, P. G. L.
3
2004
Symmetry and singularity analysis in epidemiology. Zbl 1101.34023
Leach, P. G. L.; Andriopoulos, K.
3
2004
The Lie algebra \(sl(2, R)\) and so-called Kepler-Ermakov systems. Zbl 1090.34539
Leach, P. G. L.; Karasu (Kalkanli), A.
2
2004
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.
30
2003
Generalisations of the Laplace-Runge-Lenz vector. Zbl 1039.70007
Leach, P. G. L.; Flessas, G. P.
12
2003
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
The ladder problem: Painlevé integrability and explicit solution. Zbl 1040.37039
Andriopoulos, K.; Leach, P. G. L.; Nucci, M. C.
8
2003
First integrals and reduction of a class of nonlinear higher order ordinary differential equations. Zbl 1055.34076
Euler, N.; Leach, P. G. L.
6
2003
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.
6
2003
On the equivalence of linear equations under nonlocal transformation. Zbl 1074.34051
Govinder, K. S.; Leach, P. G. L.
4
2003
Linear and quadratic invariants for the transformed Tavis-Cummings model. Zbl 1057.81064
Abdalla, M. Sebawe; Leach, P. G. L.
3
2003
The economy of complete symmetry groups for linear higher dimensional systems. Zbl 1362.34052
Andriopoulos, K.; Leach, P. G. L.
16
2002
Jacobi’s last multiplier and the complete symmetry group of the Euler-Poinsot system. Zbl 1362.35027
Nucci, M. C.; Leach, P. G. L.
15
2002
...and 106 more Documents
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Cited by 758 Authors

139 Leach, Peter Gavin Lawrence
40 Mahomed, Fazal M.
37 Nucci, Maria Clara
28 Govinder, Keshlan Sathasiva
28 Maharaj, Sunil D.
27 Paliathanasis, Andronikos
24 Guha, Partha
22 Ghose Choudhury, Anindya
20 Senthilvelan, Murugaian
19 Lakshmanan, Muthusamy
17 Sophocleous, Christodoulos
16 Khalique, Chaudry Masood
14 Chandrasekar, V. K.
13 Cariñena, José F.
13 Llibre, Jaume
12 de Lucas, Javier
12 Qadir, Asghar
11 Andriopoulos, Kostis
11 Kara, Abdul Hamid
10 Abraham-Shrauner, Barbara
10 Bouquet, Serge
10 Lewis, H. Ralph
10 Moyo, Sibusiso
10 Rañada, Manuel F.
9 Campoamor-Stursberg, Rutwig
9 Euler, Norbert
9 Muriel, Concepción
9 Naeem, Imran
9 Tamizhmani, K. M.
9 Valls Anglés, Cláudia
8 Feix, Marc Roy
7 Muatjetjeja, Ben
7 Ndogmo, Jean-Claude
7 O’Hara, James Gabriel
7 O’Hara, John G.
7 Popovych, Roman O.
7 Thirukkanesh, S.
7 Tsamparlis, Michael
6 Flessas, George P.
6 Gorringe, V. M.
6 Kudryashov, Nikolaĭ Alekseevich
6 Meleshko, Sergey V.
6 Momoniat, Ebrahim
6 Sinkala, Winter
5 Abdalla, M. Sebawe
5 Ali, Sajid
5 Ayub, Muhammad
5 Goedert, João
5 Gubbiotti, Giorgio
5 Jamal, Sameerah
5 Khanra, Barun
5 Mahomed, K. S.
5 Pradeep, R. Gladwin
5 Ruiz, Adrián
5 Sinelshchikov, Dmitry I.
5 Sinuvasan, R.
5 Vaneeva, Olena O.
5 Wafo Soh, Célestin
4 Bozhkov, Yuri Dimitrov
4 Gaeta, Giuseppe
4 Güngör, Faruk
4 Herranz, Francisco José
4 Krishnakumar, Krish T.
4 Mishra, Subhash C.
4 Mustafa, Muhammad Tahir
4 Naz, Rehana
4 Özer, Teoman
4 Pucacco, Giuseppe
4 Romero, Juan Luis
4 Sardón, Cristina
4 Suksern, Supaporn
4 Znojil, Miloslav
3 Abebe, G. Z.
3 Al-Dweik, Ahmad Y.
3 Ballesteros, Angel
3 Bérard, Alain
3 Biswas, Anjan
3 Bokhari, Ashfaque H.
3 Bruzón, Maria Santos
3 Caister, Nicolette C.
3 Caviglia, Giacomo
3 Charalambous, Kyriakos
3 Cotsakis, Spiros
3 Crâşmăreanu, Mircea
3 Damianou, Pantelis Andrea
3 Esen, Oğul
3 Euler, Marianna
3 Farooq, Muhammad Umar
3 Fatima, Aeeman
3 Gandarias Núñez, Maria Luz
3 Gorni, Gianluca
3 Grandati, Yves
3 Guo, Junhong
3 Guo, Li
3 Haas, Fernando
3 Halder, Amlan K.
3 Huang, Dingjiang
3 Kaushal, Radhey S.
3 Khan, Masood Amjad
3 Mohrbach, Hervé
...and 658 more Authors
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Cited in 131 Serials

146 Journal of Mathematical Physics
70 Journal of Nonlinear Mathematical Physics
51 Journal of Mathematical Analysis and Applications
27 Communications in Nonlinear Science and Numerical Simulation
23 General Relativity and Gravitation
20 International Journal of Theoretical Physics
20 Applied Mathematics and Computation
16 Quaestiones Mathematicae
14 Mathematical Methods in the Applied Sciences
14 Chaos, Solitons and Fractals
13 Nonlinear Analysis. Real World Applications
12 Journal of Geometry and Physics
12 International Journal of Geometric Methods in Modern Physics
11 Physics Letters. A
10 Acta Mechanica
10 Journal of Engineering Mathematics
10 Journal of Applied Mathematics
9 Theoretical and Mathematical Physics
9 Celestial Mechanics and Dynamical Astronomy
9 Nonlinear Dynamics
9 Abstract and Applied Analysis
8 Applied Mathematics Letters
8 Discrete and Continuous Dynamical Systems. Series S
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 International Journal of Modern Physics D
7 Advances in Mathematical Physics
6 Journal of Computational and Applied Mathematics
6 Journal of Differential Equations
6 Mathematical Problems in Engineering
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Journal of Physics A: Mathematical and Theoretical
5 Regular and Chaotic Dynamics
4 Modern Physics Letters A
4 Acta Applicandae Mathematicae
4 Physica D
3 Communications in Algebra
3 Physics Reports
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3 Applied Mathematical Modelling
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3 New Journal of Physics
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3 Acta Mechanica Sinica
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2 International Journal of Modern Physics A
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2 Computers & Mathematics with Applications
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2 Physica A
2 Mathematics and Computers in Simulation
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2 Celestial Mechanics
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
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2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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2 Chaos
2 Lobachevskii Journal of Mathematics
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2 Waves in Random and Complex Media
2 Physical Review A, Third Series
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1 Applicable Analysis
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1 Applied Mathematics and Mechanics. (English Edition)
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1 Annals of Physics
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1 Journal of Nonlinear Science
1 Continuum Mechanics and Thermodynamics
1 Journal of Mathematical Sciences (New York)
1 Numerical Linear Algebra with Applications
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Cited in 43 Fields

332 Ordinary differential equations (34-XX)
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77 Quantum theory (81-XX)
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42 Biology and other natural sciences (92-XX)
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23 Astronomy and astrophysics (85-XX)
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9 Statistical mechanics, structure of matter (82-XX)
8 Difference and functional equations (39-XX)
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