Edit Profile (opens in new tab) Leach, Peter Gavin Lawrence Co-Author Distance Author ID: leach.peter-gavin-lawrence Published as: Leach, P. G. L.; Leach, Peter G. L.; Leach, Peter; Leach, P. G.; Leach, P. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp Documents Indexed: 284 Publications since 1977, including 11 Additional arXiv Preprints 5 Contributions as Editor Reviewing Activity: 41 Reviews Biographic References: 2 Publications Co-Authors: 93 Co-Authors with 244 Joint Publications 1,465 Co-Co-Authors all top 5 Co-Authors 37 single-authored 30 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 9 Halder, Amlan Kanti 8 Bouquet, Serge 8 Feix, Marc Roy 8 Gorringe, V. M. 7 Maharaj, Sunil D. 7 Sinuvasan, R. 7 Tamizhmani, K. M. 6 Lewis, H. Ralph 6 Morris, Richard Michael 5 Lemmer, R. L. 5 Leon, Genly 5 Sinkala, Winter 4 Abdalla, M. Sebawe 4 Abraham-Shrauner, Barbara 4 Euler, Marianna 4 Géronimi, Claude 4 Guha, Partha 4 Maharaj, Akash V. 4 Miritzis, John 3 Agbaje, Titilayo Morenike 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 Cairó, Laurent 2 Charalambous, Kyriakos 2 Damianou, Pantelis Andrea 2 Dewisme, Alain 2 Ivanova, Nataliya M. 2 Mondal, Sabyasachi 2 Nayak, Manoj Kumar 2 Popovych, Roman O. 2 Seshadri, Rajeswari 2 Sibanda, Precious 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 Pantazi, Chara 1 Pillay, T. 1 Querella, Laurent 1 Ratcliff, Gail 1 Rouet, Jean-Louis 1 Santilli, Ruggero Maria 1 Sarkar, Amartya 1 Taves, Tim 1 Warne, R. R. 1 Wolf, Thomas Otto 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 10 Mathematical Methods in the Applied Sciences 7 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 all top 5 Fields 136 Ordinary differential equations (34-XX) 75 Mechanics of particles and systems (70-XX) 70 Partial differential equations (35-XX) 55 Dynamical systems and ergodic theory (37-XX) 27 Topological groups, Lie groups (22-XX) 22 Quantum theory (81-XX) 21 Relativity and gravitational theory (83-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Nonassociative rings and algebras (17-XX) 14 Biology and other natural sciences (92-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Fluid mechanics (76-XX) 7 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 5 Optics, electromagnetic theory (78-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 227 Publications have been cited 2,398 times in 1,063 Documents Cited by ▼ Year ▼ Symmetry Lie algebras of \(n\)th order ordinary differential equations. Zbl 0719.34018 Mahomed, F. M.; Leach, P. G. L. 84 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 The Ermakov equation: a commentary. Zbl 1199.34006 Leach, P. G. L.; Andriopoulos, K. 46 2008 First integrals for the modified Emden equation \(\ddot q+\alpha (t)\dot q+q^ n=0\). Zbl 0587.34004 Leach, P. G. L. 44 1985 The linear symmetries of a nonlinear differential equation. Zbl 0618.34009 Mahomed, F. M.; Leach, P. G. L. 42 1985 Lie point symmetries for systems of second order linear ordinary differential equations. Zbl 0649.34018 Gorringe, V. M.; Leach, P. G. L. 41 1988 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. 40 2003 Lie algebras associated with scalar second-order ordinary differential equations. Zbl 0724.34003 Mahomed, F. M.; Leach, P. G. L. 39 1989 The Painlevé test, hidden symmetries and the equation \(y''+yy'+ky^ 3=0\). Zbl 0806.34008 Lemmer, R. L.; Leach, P. G. L. 36 1993 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. 35 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. 30 1995 Jacobi’s last multiplier and Lagrangians for multidimensional systems. Zbl 1152.81573 Nucci, M. C.; Leach, P. G. L. 30 2008 The Lie algebra sl(3,\({\mathcal R})\) and linearization. Zbl 0683.34004 Mahomed, F. M.; Leach, P. G. L. 30 1989 Symmetries of nonlinear differential equations and linearisation. Zbl 0625.34044 Sarlet, W.; Mahomed, F. M.; Leach, P. G. L. 29 1987 The harmony in the Kepler and related problems. Zbl 1030.70007 Nucci, M. C.; Leach, P. G. L. 28 2001 An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity. Zbl 0459.70024 Leach, P. G. L. 27 1981 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. 26 2001 On the determination of non-local symmetries. Zbl 0869.58045 Govinder, K. S.; Leach, P. G. L. 26 1995 The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394 Euler, Marianna; Euler, Norbert; Leach, Peter 26 2007 Lagrangians galore. Zbl 1153.81413 Nucci, M. C.; Leach, P. G. L. 26 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 Hidden and contact symmetries of ordinary differential equations. Zbl 0879.58068 Abraham-Shrauner, Barbara; Leach, P. G. L.; Govinder, K. S.; Ratcliff, Gail 24 1995 Invariance properties of a general bond-pricing equation. Zbl 1147.91017 Sinkala, W.; Leach, P. G. L.; O’Hara, J. G. 24 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. 23 1981 The Jacobi last multiplier and its applications in mechanics. Zbl 1158.70008 Nucci, M. C.; Leach, P. G. L. 22 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. 21 2004 The complete symmetry group of the one-dimensional time-dependent harmonic oscillator. Zbl 0451.70020 Leach, P. G. L. 21 1980 Lie and Noether counting theorems for one-dimensional systems. Zbl 0783.34002 Mahomed, F. M.; Kara, A. H.; Leach, P. G. L. 20 1993 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 Exact solutions for the Tikekar superdense star. Zbl 0873.34004 Maharaj, S. D.; Leach, P. G. L. 20 1996 First integrals versus configurational invariants and a weak form of complete integrability. Zbl 0581.58025 Sarlet, W.; Leach, P. G. L.; Cantrijn, F. 20 1985 Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics. Zbl 1080.35163 Naicker, V.; Andriopoulos, K.; Leach, P. G. L. 20 2005 The determination of nonlocal symmetries by the technique of reduction of order. Zbl 0977.34029 Nucci, M. C.; Leach, P. G. L. 20 2000 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. 20 1977 On a generalization of the Lewis invariant for the time-dependent harmonic oscillator. Zbl 0384.70029 Leach, P. G. L. 20 1978 Jacobi’s last multiplier and the complete symmetry group of the Euler-Poinsot system. Zbl 1362.35027 Nucci, M. C.; Leach, P. G. L. 20 2002 Exact invariants for a class of time-dependent nonlinear Hamiltonian systems. Zbl 0487.70022 Lewis, H. Ralph; Leach, P. G. L. 20 1982 Nonlinear shear-free radiative collapse. Zbl 1255.83038 Misthry, S. S.; Maharaj, S. D.; Leach, P. G. L. 19 2008 Solution of generalized Emden-Fowler equations with two symmetries. Zbl 0812.34001 Mellin, Conrad M.; Mahomed, F. M.; Leach, P. G. L. 18 1994 The economy of complete symmetry groups for linear higher dimensional systems. Zbl 1362.34052 Andriopoulos, K.; Leach, P. G. L. 18 2002 Symmetry, singularities and integrability in complex dynamics. I: The reduction problem. Zbl 0989.34074 Leach, P. G. L.; Cotsakis, S.; Flessas, G. P. 17 2000 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. 17 2008 Lie symmetries of generalized Burgers equations: application to boundary-value problems. Zbl 1398.35208 Vaneeva, O. O.; Sophocleous, C.; Leach, P. G. L. 17 2015 An integrable SIS model. Zbl 1067.92054 Nucci, M. C.; Leach, P. G. L. 16 2004 Symmetries of first integrals and their associated differential equations. Zbl 0947.34021 Leach, P. G.; Govinder, K. S.; Abraham-Shrauner, B. 16 1999 An old method of Jacobi to find Lagrangians. Zbl 1205.34011 Nucci, M. C.; Leach, P. G. L. 16 2009 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 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. 15 1997 Integrability analysis of the Emden-Fowler equation. Zbl 1167.37032 Govinder, K. S.; Leach, P. G. L. 15 2007 Nonlinear ordinary differential equations: a discussion on symmetries and singularities. Zbl 1387.34049 Paliathanasis, Andronikos; Leach, P. G. L. 15 2016 The Schrödinger equation for the \(x^ 2+\lambda x^ 2/(1+gx^ 2)\) interaction. Zbl 0656.35023 Blecher, M. H.; Leach, P. G. L. 15 1987 Self-similar solutions of the generalized Emden-Fowler equation. Zbl 0760.34005 Leach, P. G. L.; Maartens, R.; Maharaj, S. D. 14 1992 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-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. 14 2007 Generalisations of the Laplace-Runge-Lenz vector. Zbl 1039.70007 Leach, P. G. L.; Flessas, G. P. 14 2003 A further note on the Henon-Heiles problem. Zbl 0476.70016 Leach, P. G. L. 14 1981 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. 14 1988 Painlevé analysis of the mixmaster universe. Zbl 0843.58144 Cotsakis, Spiros; Leach, P. G. L. 13 1994 First integrals for some nonlinear time-dependent Hamiltonian systems. Zbl 0564.70018 Leach, P. G. L.; Lewis, H. R.; Sarlet, W. 13 1984 Comment on a theorem of Hojman and its generalizations. Zbl 0945.70519 Pillay, T.; Leach, P. G. L. 13 1996 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 The algebraic structure of the first integrals of third-order linear equations. Zbl 0986.34033 Govinder, K. S.; Leach, P. G. L. 13 1995 \(\mathrm{Sl}(3, R)\) and the repulsive oscillator. Zbl 0429.22011 Leach, P. G. L. 13 1980 Shear-free spherically symmetric solutions with conformal symmetry. Zbl 0715.53053 Maharaj, S. D.; Leach, P. G. L.; Maartens, R. 13 1991 Exponential nonlocal symmetries and nonnormal reduction of order. Zbl 1014.34027 Géronimi, C.; Feix, M. R.; Leach, P. G. L. 12 2001 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 Hidden symmetries of nonlinear ordinary differential equations. Zbl 0811.34006 Abraham-Shrauner, B.; Leach, P. G. L. 11 1993 Symmetries of homogeneous cosmologies. Zbl 0964.83046 Cotsakis, S.; Leach, P. G. L.; Pantazi, H. 11 1998 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. 11 2003 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 Algebraic properties of evolution partial differential equations modelling prices of commodities. Zbl 1132.35491 Sophocleous, C.; Leach, P. G. L.; Andriopoulos, K. 11 2008 Berry’s phase and wavefunctions for time-dependent Hamilton systems. Zbl 0732.35078 Leach, P. G. L. 11 1990 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. 10 2004 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. 10 2001 Expanding spherically symmetric models without shear. Zbl 0848.35134 Maharaj, S. D.; Leach, P. G. L.; Maartens, R. 10 1996 On the elementary Schrödinger bound states and their multiplets. Zbl 0825.35100 Znojil, M.; Leach, P. G. L. 10 1992 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 Exceptional properties of second and third order ordinary differential equations of maximal symmetry. Zbl 0974.34033 Moyo, S.; Leach, P. G. L. 10 2000 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 The first integrals and orbit equation for the Kepler problem with drag. Zbl 0626.70027 Leach, P. G. L. 10 1987 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 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. 10 1990 The algebraic structure of generalized Ermakov systems in three dimensions. Zbl 0795.34006 Govinder, K. S.; Athorne, C.; Leach, P. G. L. 9 1993 Contact symmetry algebras of scalar second-order ordinary differential equations. Zbl 0738.34008 Mahomed, F. M.; Leach, P. G. L. 9 1991 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 A classical viewpoint on quantum chaos. Zbl 0956.70015 Lemmer, R. L.; Leach, P. G. L. 9 1999 Noetherian integrals via nonlocal transformation. Zbl 1020.70504 Govinder, K. S.; Leach, P. G. L. 9 1995 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 Symmetries and integrating factors. Zbl 1362.34056 Leach, P. G. L.; Bouquet, S. É. 9 2002 Competing species: Integrability and stability. Zbl 1055.34059 Leach, P. G. L.; Miritzis, J. 9 2004 Noether equivalence problem for particle Lagrangians. Zbl 0814.70010 Kara, A. H.; Mahomed, F. M.; Leach, P. G. L. 8 1994 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 Analytic behaviour of competition among three species. Zbl 1109.92053 Leach, P. G. L.; Miritzis, J. 8 2006 The ladder problem: Painlevé integrability and explicit solution. Zbl 1040.37039 Andriopoulos, K.; Leach, P. G. L.; Nucci, M. C. 8 2003 Integrability analysis of a conformal equation in relativity. Zbl 0823.34008 Govinder, K. S.; Leach, P. G. L.; Maharaj, S. D. 8 1995 Lie symmetries, quantisation and \(c\)-isochronous nonlinear oscillators. Zbl 1097.81042 Nucci, M. C.; Leach, P. G. L.; Andriopoulos, K. 8 2006 Noetherian symmetries of noncentral forces with drag term. Zbl 1361.34032 Ghose-Choudhury, A.; Guha, Partha; Paliathanasis, Andronikos; Leach, P. G. L. 8 2017 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. 8 2016 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 Symmetries and conservation laws for the generalized \(n\)-dimensional Ermakov system. Zbl 1534.70034 Paliathanasis, Andronikos; Leon, Genly; Leach, P. G. L. 1 2022 Symmetry analysis for a fourth-order noise-reduction partial differential equation. Zbl 1540.47108 Leach, P. G. L.; Paliathanasis, Andronikos 2 2021 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 Retracted article: 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. 5 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 3 2019 Noether’s theorem and symmetry. Zbl 1425.35004 Halder, Amlan K.; Paliathanasis, Andronikos; Leach, Peter G. L. 8 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. 15 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. 8 2016 Analytical solutions in \(R+qR^n\) cosmology from singularity analysis. Zbl 1366.83116 Paliathanasis, Andronikos; Leach, P. G. L. 7 2016 On the Hojman conservation quantities in cosmology. Zbl 1367.83110 Paliathanasis, A.; Leach, P. G. L.; Capozziello, S. 7 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. 17 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. 7 2014 Application of symmetry and singularity analyses to mathematical models of biological systems. Zbl 1533.92006 Maharaj, A.; Leach, P. G. L. 1 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 Lie symmetries and Noether symmetries. Zbl 1289.70027 Leach, P. G. L. 5 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 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. 6 2011 Properties of the Calogero-Degasperis-Ibragimov-Shabat differential sequence. Zbl 1252.37057 Euler, M.; Euler, N.; Leach, P. G. L. 3 2011 Some Lagrangians for systems without a Lagrangian. Zbl 1244.70011 Nucci, M. C.; Leach, P. G. L. 2 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 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 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. 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. 16 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. 4 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. 46 2008 Jacobi’s last multiplier and Lagrangians for multidimensional systems. Zbl 1152.81573 Nucci, M. C.; Leach, P. G. L. 30 2008 Invariance properties of a general bond-pricing equation. Zbl 1147.91017 Sinkala, W.; Leach, P. G. L.; O’Hara, J. G. 24 2008 The Jacobi last multiplier and its applications in mechanics. Zbl 1158.70008 Nucci, M. C.; Leach, P. G. L. 22 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. 17 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. 11 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 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 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 The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394 Euler, Marianna; Euler, Norbert; Leach, Peter 26 2007 Lagrangians galore. Zbl 1153.81413 Nucci, M. C.; Leach, P. G. L. 26 2007 Integrability analysis of the Emden-Fowler equation. Zbl 1167.37032 Govinder, K. S.; Leach, P. G. L. 15 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. 14 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. 7 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. 7 2007 Autonomous self-similar ordinary differential equations and the Painlevé connection. Zbl 1116.34032 Andriopoulos, K.; Leach, P. G. L. 4 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 Algebraic solutions of some partial differential equations arising in financial mathematics and related areas. Zbl 1158.60358 Leach, P. G. L.; Andriopoulos, K. 2 2007 Singularity analysis in nonlinear biomathematical models: two case studies. Zbl 1144.34031 Meletlidou, E.; Leach, P. G. L. 2 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 Analytic behaviour of competition among three species. Zbl 1109.92053 Leach, P. G. L.; Miritzis, J. 8 2006 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. 6 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 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 ‘Air’ polynomials, Lie point symmetries and a hyperbolic equation. Zbl 1105.37038 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. 20 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. 7 2005 Wavefunctions for the time-dependent linear oscillator and Lie point symmetries. Zbl 1067.81020 Andriopoulos, K.; 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 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 Some group theoretical aspects of nonlinear quantal oscillators. Zbl 1362.81042 Andriopoulos, K.; Leach, P. G. L. 3 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 ...and 127 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,042 Authors 157 Leach, Peter Gavin Lawrence 53 Paliathanasis, Andronikos 46 Nucci, Maria Clara 40 Mahomed, Fazal M. 36 Guha, Partha 31 Govinder, Keshlan Sathasiva 31 Maharaj, Sunil D. 28 Ghose Choudhury, Anindya 23 Cariñena, José F. 21 Lakshmanan, Muthusamy 21 Senthilvelan, Murugaian 21 Sophocleous, Christodoulos 20 Llibre, Jaume 18 de Lucas, Javier 18 Khalique, Chaudry Masood 17 Muriel, Concepción 16 Chandrasekar, V. K. 16 Rañada, Manuel F. 15 Qadir, Asghar 14 Campoamor-Stursberg, Rutwig 14 Tsamparlis, Michael 13 Andriopoulos, Kostis 13 Kara, Abdul Hamid 13 Lewis, H. Ralph 12 Valls Anglés, Cláudia 11 Bouquet, Serge 11 Euler, Norbert 11 Moyo, Sibusiso 11 Ndogmo, Jean-Claude 11 Popovych, Roman O. 11 Tamizhmani, K. M. 10 Abraham-Shrauner, Barbara 9 Feix, Marc Roy 9 Jamal, Sameerah 9 Meleshko, Sergey V. 9 Naeem, Imran 9 Ruiz, Adrián Tonatiuh 8 Gubbiotti, Giorgio 8 Thirukkanesh, S. 7 Flessas, George P. 7 Halder, Amlan Kanti 7 Leon, Genly 7 Muatjetjeja, Ben 7 Mustafa, Muhammad Tahir 7 Pandey, Satyendra N. 7 Romero, Juan Luis 7 Vaneeva, Olena O. 6 Abdalla, M. Sebawe 6 Al-Dweik, Ahmad Y. 6 Ali, Sajid 6 Bozhkov, Yuri Dimitrov 6 Gaeta, Giuseppe 6 Goedert, João 6 Gorringe, V. M. 6 Herranz, Francisco José 6 Khanra, Barun 6 Kudryashov, Nikolaĭ Alekseevich 6 Momoniat, Ebrahim 6 Musielak, Zdzislaw E. 6 Naz, Rehana 6 Pradeep, R. Gladwin 6 Sinelshchikov, Dmitry I. 6 Sinkala, Winter 6 Sinuvasan, R. 5 Ayub, Muhammad 5 Bruzón, Maria Santos 5 Gandarias Núñez, Maria Luz 5 Haas, Fernando 5 Liu, Hanze 5 Mahomed, K. 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