Edit Profile (opens in new tab) Leach, Peter Gavin Lawrence Compute Distance To: Compute 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 · Math-Net.Ru · dblp Documents Indexed: 264 Publications since 1977 5 Contributions as Editor Reviewing Activity: 41 Reviews Biographic References: 2 Publications Co-Authors: 84 Co-Authors with 224 Joint Publications 1,195 Co-Co-Authors all top 5 Co-Authors 37 single-authored 26 Andriopoulos, Kostis 26 Nucci, Maria Clara 23 Govinder, Keshlan Sathasiva 19 Paliathanasis, Andronikos 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. 7 Halder, Amlan Kanti 7 Maharaj, Sunil D. 7 Sinuvasan, R. 7 Tamizhmani, K. M. 6 Lewis, H. Ralph 5 Lemmer, R. L. 5 Sinkala, Winter 4 Abdalla, M. Sebawe 4 Abraham-Shrauner, Barbara 4 Euler, Marianna 4 Géronimi, Claude 4 Miritzis, John 4 Morris, Richard M. 3 Dimas, Stelios 3 Kara, Abdul Hamid 3 Maartens, Roy 3 Maharaj, Akash V. 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 Ghose Choudhury, Anindya 2 Guha, Partha 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 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 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 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 14 Quaestiones Mathematicae 8 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 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 2 Afrika Matematika 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 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 International Journal of Nonlinear Sciences and Numerical Simulation 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 all top 5 Fields 129 Ordinary differential equations (34-XX) 73 Mechanics of particles and systems (70-XX) 63 Partial differential equations (35-XX) 56 Dynamical systems and ergodic theory (37-XX) 27 Topological groups, Lie groups (22-XX) 22 Quantum theory (81-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Relativity and gravitational theory (83-XX) 14 Nonassociative rings and algebras (17-XX) 13 Biology and other natural sciences (92-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 5 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 213 Publications have been cited 1,902 times in 810 Documents Cited by ▼ Year ▼ Symmetry Lie algebras of \(n\)th order ordinary differential equations. Zbl 0719.34018Mahomed, F. M.; Leach, P. G. L. 69 1990 The linear symmetries of a nonlinear differential equation. Zbl 0618.34009Mahomed, F. M.; Leach, P. G. L. 39 1985 First integrals for the modified Emden equation \(\ddot q+\alpha (t)\dot q+q^ n=0\). Zbl 0587.34004Leach, P. G. L. 38 1985 Lie algebras associated with scalar second-order ordinary differential equations. Zbl 0724.34003Mahomed, F. M.; Leach, P. G. L. 36 1989 A direct approach to finding exact invariants for one-dimensional time- dependent classical Hamiltonians. Zbl 0515.70018Lewis, H. Ralph; Leach, P. G. L. 36 1982 Lie point symmetries for systems of second order linear ordinary differential equations. Zbl 0649.34018Gorringe, V. M.; Leach, P. G. L. 33 1988 The Painlevé test, hidden symmetries and the equation \(y''+yy'+ky^ 3=0\). Zbl 0806.34008Lemmer, R. L.; Leach, P. G. L. 32 1993 Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X'''=0\). Zbl 1054.34002Euler, N.; Wolf, T.; Leach, P. G. L.; Euler, M. 31 2003 The complete symmetry group of the one-dimensional time-dependent harmonic oscillator. Zbl 0451.70020Leach, P. G. L. 30 1980 On the singularity analysis of ordinary differential equations invariant under time translation and rescaling. Zbl 0927.34006Feix, M. R.; Geronimi, C.; Cairó, L.; Leach, P. G. L.; Lemmer, R. L.; Bouquet, S. 29 1997 The Ermakov equation: a commentary. Zbl 1199.34006Leach, P. G. L.; Andriopoulos, K. 27 2008 An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity. Zbl 0459.70024Leach, P. G. L. 26 1981 Integration of second order ordinary differential equations not possessing Lie point symmetries. Zbl 1020.34500Abraham-Shrauner, B.; Govinder, K. S.; Leach, P. G. L. 26 1995 The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394Euler, Marianna; Euler, Norbert; Leach, Peter 24 2007 Jacobi’s last multiplier and Lagrangians for multidimensional systems. Zbl 1152.81573Nucci, M. C.; Leach, P. G. L. 23 2008 On the systematic approach to the classification of differential equations by group theoretical methods. Zbl 1173.35318Andriopoulos, K.; Dimas, S.; Leach, P. G. L.; Tsoubelis, D. 23 2009 The harmony in the Kepler and related problems. Zbl 1030.70007Nucci, M. C.; Leach, P. G. L. 23 2001 Symmetries of nonlinear differential equations and linearisation. Zbl 0625.34044Sarlet, W.; Mahomed, F. M.; Leach, P. G. L. 23 1987 The Lie algebra sl(3,\({\mathcal R})\) and linearization. Zbl 0683.34004Mahomed, F. M.; Leach, P. G. L. 23 1989 Complete symmetry groups of ordinary differential equations and their integrals: Some basic considerations. Zbl 0998.34031Andriopoulos, K.; Leach, P. G. L.; Flessas, G. P. 21 2001 Hidden and contact symmetries of ordinary differential equations. Zbl 0879.58068Abraham-Shrauner, Barbara; Leach, P. G. L.; Govinder, K. S.; Ratcliff, Gail 21 1995 On the theory of time-dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type. Zbl 0365.70019Leach, P. G. L. 19 1977 On the determination of non-local symmetries. Zbl 0869.58045Govinder, K. S.; Leach, P. G. L. 19 1995 Lie and Noether counting theorems for one-dimensional systems. Zbl 0783.34002Mahomed, F. M.; Kara, A. H.; Leach, P. G. L. 19 1993 Lagrangians galore. Zbl 1153.81413Nucci, M. C.; Leach, P. G. L. 18 2007 Analysis and solution of a nonlinear second-order differential equation through rescaling and through a dynamical point of view. Zbl 0785.34031Leach, P. G. L.; Feix, M. R.; Bouquet, S. 18 1988 Nonlinear shear-free radiative collapse. Zbl 1255.83038Misthry, S. S.; Maharaj, S. D.; Leach, P. G. L. 18 2008 Invariance properties of a general bond-pricing equation. Zbl 1147.91017Sinkala, W.; Leach, P. G. L.; O’Hara, J. G. 18 2008 A further note on the Henon-Heiles problem. Zbl 0476.70016Leach, P. G. L. 18 1981 Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem. Zbl 0479.70020Leach, P. G. L. 18 1981 The determination of nonlocal symmetries by the technique of reduction of order. Zbl 0977.34029Nucci, M. C.; Leach, P. G. L. 17 2000 Jacobi’s last multiplier and symmetries for the Kepler problem plus a lineal story. Zbl 1065.70007Nucci, M. C.; Leach, P. G. L. 17 2004 The economy of complete symmetry groups for linear higher dimensional systems. Zbl 1362.34052Andriopoulos, K.; Leach, P. G. L. 16 2002 Jacobi’s last multiplier and the complete symmetry group of the Euler-Poinsot system. Zbl 1362.35027Nucci, M. C.; Leach, P. G. L. 16 2002 Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics. Zbl 1080.35163Naicker, V.; Andriopoulos, K.; Leach, P. G. L. 16 2005 On a generalization of the Lewis invariant for the time-dependent harmonic oscillator. Zbl 0384.70029Leach, P. G. L. 15 1978 The Jacobi last multiplier and its applications in mechanics. Zbl 1158.70008Nucci, M. C.; Leach, P. G. L. 15 2008 Symmetries of first integrals and their associated differential equations. Zbl 0947.34021Leach, P. G.; Govinder, K. S.; Abraham-Shrauner, B. 15 1999 Exact solutions for the Tikekar superdense star. Zbl 0873.34004Maharaj, S. D.; Leach, P. G. L. 15 1996 Solution of generalized Emden-Fowler equations with two symmetries. Zbl 0812.34001Mellin, Conrad M.; Mahomed, F. M.; Leach, P. G. L. 15 1994 First integrals versus configurational invariants and a weak form of complete integrability. Zbl 0581.58025Sarlet, W.; Leach, P. G. L.; Cantrijn, F. 15 1985 Exact invariants for a class of time-dependent nonlinear Hamiltonian systems. Zbl 0487.70022Lewis, H. Ralph; Leach, P. G. L. 15 1982 The algebraic structure of the first integrals of third-order linear equations. Zbl 0986.34033Govinder, K. S.; Leach, P. G. L. 14 1995 An optimal system and group-invariant solutions of the Cox-Ingersoll-Ross pricing equation. Zbl 1142.91466Sinkala, W.; Leach, P. G. L.; O’Hara, J. G. 14 2008 Self-similar solutions of the generalized Emden-Fowler equation. Zbl 0760.34005Leach, P. G. L.; Maartens, R.; Maharaj, S. D. 14 1992 Exact solutions of the Schrödinger equation for a class of three- dimensional isotropic anharmonic oscillators. Zbl 0557.35026Leach, P. G. L. 14 1984 The Schrödinger equation for the \(x^ 2+\lambda x^ 2/(1+gx^ 2)\) interaction. Zbl 0656.35023Blecher, M. H.; Leach, P. G. L. 14 1987 Zero-coupon bond prices in the Vasicek and CIR models: their computation as group-invariant solutions. Zbl 1132.91438Sinkala, W.; Leach, P. G. L.; O’Hara, J. G. 14 2008 Generalisations of the Laplace-Runge-Lenz vector. Zbl 1039.70007Leach, P. G. L.; Flessas, G. P. 13 2003 An integrable SIS model. Zbl 1067.92054Nucci, M. C.; Leach, P. G. L. 13 2004 Comment on a theorem of Hojman and its generalizations. Zbl 0945.70519Pillay, T.; Leach, P. G. L. 13 1996 Maximal subalgebra associated with a first integral of a system possessing sl(3,R) algebra. Zbl 0658.58037Leach, P. G. L.; Mahomed, F. M. 13 1988 Exponential nonlocal symmetries and nonnormal reduction of order. Zbl 1014.34027Géronimi, C.; Feix, M. R.; Leach, P. G. L. 12 2001 Jacobi’s last multiplier and the complete symmetry group of the Ermakov-Pinney equation. Zbl 1079.34026Nucci, M. C.; Leach, P. G. L. 12 2005 Lie symmetries of generalized Burgers equations: application to boundary-value problems. Zbl 1398.35208Vaneeva, O. O.; Sophocleous, C.; Leach, P. G. L. 12 2015 Symmetry-based solution of a model for a combination of a risky investment and a riskless investment. Zbl 1154.91027Leach, P. G. L.; O’Hara, J. G.; Sinkala, W. 12 2007 Complete specification of some partial differential equations that arise in financial mathematics. Zbl 1362.35310Dimas, S.; Andriopoulos, K.; Tsoubelis, D.; Leach, P. G. L. 11 2009 Symmetry and singularity properties of the generalised Kummer-Schwarz and related equations. Zbl 1157.34030Leach, P. G. L. 11 2008 Integrability analysis of the Emden-Fowler equation. Zbl 1167.37032Govinder, 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 0879.34052Flessas, G. P.; Govinder, K. S.; Leach, P. G. L. 11 1997 An old method of Jacobi to find Lagrangians. Zbl 1205.34011Nucci, M. C.; Leach, P. G. L. 11 2009 Connection between the existence of first integrals and the Painlevé property in two-dimensional Lotka-Volterra and quadratic systems. Zbl 0873.34005Hua, D. D.; Cairó, L.; Feix, M. R.; Govinder, K. S.; Leach, P. G. L. 11 1996 The first integrals and orbit equation for the Kepler problem with drag. Zbl 0626.70027Leach, 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 0708.70008Leach, P. G. L.; Gorringe, V. M. 11 1990 Shear-free spherically symmetric solutions with conformal symmetry. Zbl 0715.53053Maharaj, S. D.; Leach, P. G. L.; Maartens, R. 11 1991 Painlevé analysis of the mixmaster universe. Zbl 0843.58144Cotsakis, Spiros; Leach, P. G. L. 10 1994 Algebraic properties of evolution partial differential equations modelling prices of commodities. Zbl 1132.35491Sophocleous, C.; Leach, P. G. L.; Andriopoulos, K. 10 2008 Sl(3,R) and the repulsive oscillator. Zbl 0429.22011Leach, P. G. L. 9 1980 Symmetry, singularities and integrability in complex dynamics. V: Complete symmetry groups of certain relativistic spherically symmetric systems. Zbl 1017.34035Leach, P. G. L.; Nucci, M. C.; Cotsakis, S. 9 2001 A group theoretic approach to a class of second-order ordinary differential equations not possessing Lie point symmetries. Zbl 0927.34007Govinder, K. S.; Leach, P. G. L. 9 1997 On the uniqueness of the Schwarzian and linearisation by nonlocal contact transformation. Zbl 0938.34078Leach, P. G.; Govinder, K. S. 9 1999 Representations of one-dimensional Hamiltonians in terms of their invariants. Zbl 0746.70013Lewis, H. Ralph; Leach, P. G. L.; Bouquet, Serge; Feix, Marc R. 9 1992 Hidden symmetries of nonlinear ordinary differential equations. Zbl 0811.34006Abraham-Shrauner, B.; Leach, P. G. L. 9 1993 The Ermanno-Bernoulli constants and representations of the complete symmetry group of the Kepler problem. Zbl 1062.70011Leach, P. G. L.; Andriopoulos, K.; Nucci, M. C. 9 2003 First integrals for some nonlinear time-dependent Hamiltonian systems. Zbl 0564.70018Leach, P. G. L.; Lewis, H. R.; Sarlet, W. 9 1984 Nonlinear ordinary differential equations: a discussion on symmetries and singularities. Zbl 1387.34049Paliathanasis, Andronikos; Leach, P. G. L. 9 2016 Properties of second-order ordinary differential equations invariant under time translation and self-similar transformation. Zbl 0734.34029Bouquet, S. E.; Feix, M. R.; Leach, P. G. L. 9 1991 Algebraic solution of the Stein-Stein model for stochastic volatility. Zbl 1221.91059Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L. 9 2011 Towards an invariant for the time-dependent anharmonic oscillator. Zbl 0424.70025Leach, P. G. L. 8 1979 Symmetries and integrating factors. Zbl 1362.34056Leach, P. G. L.; Bouquet, S. É. 8 2002 Symmetry, singularities and integrability in complex dynamics. I: The reduction problem. Zbl 0989.34074Leach, P. G. L.; Cotsakis, S.; Flessas, G. P. 8 2000 Integrability analysis of a conformal equation in relativity. Zbl 0823.34008Govinder, K. S.; Leach, P. G. L.; Maharaj, S. D. 8 1995 The ladder problem: Painlevé integrability and explicit solution. Zbl 1040.37039Andriopoulos, K.; Leach, P. G. L.; Nucci, M. C. 8 2003 Equivalence classes of second-order ordinary differential equations with only a three-dimensional Lie algebra of point symmetries and linearisation. Zbl 1054.34060Leach, P. G. L. 8 2003 Expanding spherically symmetric models without shear. Zbl 0848.35134Maharaj, S. D.; Leach, P. G. L.; Maartens, R. 8 1996 A Rodrigues formula approach to determining closed-form solutions to the Schrödinger equation for symmetric anharmonic oscillators. Zbl 0662.34038Leach, P. G. L.; Flessas, G. P.; Gorringe, V. M. 8 1989 Berry’s phase and wavefunctions for time-dependent Hamilton systems. Zbl 0732.35078Leach, P. G. L. 8 1990 Nonlocal symmetries and the complete symmetry group of \(1+1\) evolution equations. Zbl 1110.35327Myeni, S. M.; Leach, P. G. L. 8 2006 Lie integrable cases of the simplified multistrain/two-stream model for tuberculosis and dengue fever. Zbl 1118.92054Nucci, M. C.; Leach, P. G. L. 8 2007 Symmetries and singularities of the Szekeres system. Zbl 1371.83215Paliathanasis, Andronikos; Leach, P. G. L. 7 2017 Ermakov systems: A group-theoretic approach. Zbl 0961.34500Govinder, K. S.; Leach, P. G. L. 7 1994 Exceptional properties of second and third order ordinary differential equations of maximal symmetry. Zbl 0974.34033Moyo, S.; Leach, P. G. L. 7 2000 Lie symmetries, quantisation and \(c\)-isochronous nonlinear oscillators. Zbl 1097.81042Nucci, M. C.; Leach, P. G. L.; Andriopoulos, K. 7 2006 Contact symmetry algebras of scalar second-order ordinary differential equations. Zbl 0738.34008Mahomed, F. M.; Leach, P. G. L. 7 1991 Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator. Zbl 1071.70006Leach, P. G. L.; Nucci, M. C. 7 2004 Aspects of proper differential sequences of ordinary differential equations. Zbl 1190.34040Euler, N.; Leach, P. G. L. 7 2009 A resonance formulation for invariants of particle motion in a one- dimensional time-dependent potential. Zbl 0572.70020Lewis, H. Ralph; Leach, P. G. L. 7 1985 Symmetry and singularity properties of second-order ordinary differential equations of Lie’s Type III. Zbl 1121.34091Andriopoulos, K.; Leach, P. G. L. 7 2007 Symmetry analysis of a model of stochastic volatility with time-dependent parameters. Zbl 1231.91493Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L. 7 2011 Noetherian integrals via nonlocal transformation. Zbl 1020.70504Govinder, K. S.; Leach, P. G. L. 6 1995 Similarity solutions and conservation laws for the Bogoyavlensky-Konopelchenko equation by Lie point symmetries. Zbl 1475.35013Halder, Amlan K.; Leach, P. G. L.; Paliathanasis, Andronikos 1 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 1436.80002Nayak, M. K.; Agbaje, T. M.; Mondal, S.; Sibanda, P.; Leach, P. G. L. 2 2020 Lie symmetry analysis and similarity solutions for the Jimbo-Miwa equation and generalisations. Zbl 07446870Halder, Amlan K.; Paliathanasis, Andronikos; Seshadri, Rajeswari; Leach, Peter G. L. 1 2020 Singularity analysis of a variant of the Painlevé-Ince equation. Zbl 1426.34024Halder, Amlan K.; Paliathanasis, Andronikos; Leach, P. G. L. 2 2019 Nonlocal representation of the \(\mathrm{sl}(2,R)\) algebra for the Chazy equation. Zbl 1412.34241Jamal, Sameerah; Leach, Peter G. L.; Paliathanasis, Andronikos 2 2019 Noether’s theorem and symmetry. Zbl 1425.35004Halder, Amlan K.; Paliathanasis, Andronikos; Leach, Peter G. L. 1 2018 Symmetries and singularities of the Szekeres system. Zbl 1371.83215Paliathanasis, Andronikos; Leach, P. G. L. 7 2017 Noetherian symmetries of noncentral forces with drag term. Zbl 1361.34032Ghose-Choudhury, A.; Guha, Partha; Paliathanasis, Andronikos; Leach, P. G. L. 6 2017 The algebraic properties of the space- and time-dependent one-factor model of commodities. Zbl 1426.91125Leach, P. G. L.; Morris, R. M.; Paliathanasis, A. 1 2017 Nonlinear ordinary differential equations: a discussion on symmetries and singularities. Zbl 1387.34049Paliathanasis, Andronikos; Leach, P. G. L. 9 2016 Comment on “Classification of Lie point symmetries for quadratic Liénard type equation \(\ddot{x} + f(x) \dot{x}^2 + g(x) = 0\)”. Zbl 1337.34041Paliathanasis, A.; Leach, P. G. L. 5 2016 On the Hojman conservation quantities in cosmology. Zbl 1367.83110Paliathanasis, A.; Leach, P. G. L.; Capozziello, S. 4 2016 Lie symmetry analysis of the Black-Scholes-Merton model for European options with stochastic volatility. Zbl 1358.91101Paliathanasis, Andronikos; Krishnakumar, K.; Tamizhmani, K. M.; Leach, Peter G. L. 4 2016 Analytical solutions in \(R+qR^n\) cosmology from singularity analysis. Zbl 1366.83116Paliathanasis, Andronikos; Leach, P. G. L. 3 2016 Lie symmetries of \((1+2)\) nonautonomous evolution equations in financial mathematics. Zbl 1358.91102Paliathanasis, Andronikos; Morris, Richard M.; Leach, Peter G. L. 2 2016 Lie symmetries of generalized Burgers equations: application to boundary-value problems. Zbl 1398.35208Vaneeva, O. O.; Sophocleous, C.; Leach, P. G. L. 12 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 1411.91490Charalambous, K.; Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L. 1 2015 Symmetries and reductions of order for certain nonlinear third- and second-order differential equations with arbitrary nonlinearity. Zbl 1332.34073Tamizhmani, K. M.; Krishnakumar, K.; Leach, P. G. L. 1 2015 Algebraic resolution of equations of the Black-Scholes type with arbitrary time-dependent parameters. Zbl 1338.35432Tamizhmani, K. M.; Krishnakumar, K.; Leach, P. G. L. 5 2014 Application of Lie point symmetries to the resolution of certain problems in financial mathematics with a terminal condition. Zbl 1360.91160O’Hara, J. G.; Sophocleous, C.; Leach, P. G. L. 5 2013 Lie groups and quantum mechanics. Zbl 1308.81117Nucci, M. C.; Leach, P. G. L. 4 2013 Symmetry analysis of a model for the exercise of a barrier option. Zbl 1304.91224O’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 1 2013 Hidden and not so hidden symmetries. Zbl 1239.34031Leach, P. G. L.; Govinder, K. S.; Andriopoulos, K. 5 2012 Lie symmetries and Noether symmetries. Zbl 1289.70027Leach, P. G. L. 4 2012 On the properties of a variant of the Riccati system of equations. Zbl 1268.34038Sarkar, 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 1258.35117Sophocleous, C.; Leach, P. G. L. 1 2012 Algebraic solution of the Stein-Stein model for stochastic volatility. Zbl 1221.91059Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L. 9 2011 Symmetry analysis of a model of stochastic volatility with time-dependent parameters. Zbl 1231.91493Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L. 7 2011 Singularity analysis for autonomous and nonautonomous differential equations. Zbl 1289.34002Andriopoulos, Kostis; Leach, Peter 5 2011 Qualitative behaviour of a model of an SIRS epidemic: stability and permanence. Zbl 1231.34083El Maroufy, Hamid; Lahrouz, Adil; Leach, P. G. L. 3 2011 Lie algebraic approach and quantum treatment of an anisotropic charged particle via the quadratic invariant. Zbl 1272.81046Abdalla, M. Sebawe; Leach, P. G. L. 3 2011 Properties of the Calogero-Degasperis-Ibragimov-Shabat differential sequence. Zbl 1252.37057Euler, M.; Euler, N.; Leach, P. G. L. 2 2011 An algebraic approach to laying a ghost to rest. Zbl 1189.81138Nucci, M. C.; Leach, P. G. L. 5 2010 Group classification of a class of equations arising in financial mathematics. Zbl 1197.91203Ivanova, N. M.; Sophocleous, C.; Leach, P. G. L. 5 2010 A note on the integrability of the classical portfolio selection model. Zbl 1195.91147Naicker, V.; O’Hara, J. G.; Leach, P. G. L. 3 2010 Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry. Zbl 1200.34040Leach, P. G. L.; Warne, R. R.; Caister, N.; Naicker, V.; Euler, N. 3 2010 On the systematic approach to the classification of differential equations by group theoretical methods. Zbl 1173.35318Andriopoulos, K.; Dimas, S.; Leach, P. G. L.; Tsoubelis, D. 23 2009 Complete specification of some partial differential equations that arise in financial mathematics. Zbl 1362.35310Dimas, S.; Andriopoulos, K.; Tsoubelis, D.; Leach, P. G. L. 11 2009 An old method of Jacobi to find Lagrangians. Zbl 1205.34011Nucci, M. C.; Leach, P. G. L. 11 2009 Aspects of proper differential sequences of ordinary differential equations. Zbl 1190.34040Euler, N.; Leach, P. G. L. 7 2009 The method of Ostrogradsky, quantization, and a move toward a ghost-free future. Zbl 1304.81116Nucci, M. C.; Leach, P. G. L. 6 2009 Quasi-Lie schemes and Emden-Fowler equations. Zbl 1283.34034Cariñena, José F.; Leach, P. G. L.; de Lucas, Javier 4 2009 A novel Riccati sequence. Zbl 1362.34005Leach, 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 1256.34025Karasu, A.; Leach, P. G. L. 3 2009 Lie algebraic treatment of the quadratic invariants for a quantum system. Zbl 1174.81002Abdalla, M. Sebawe; Leach, P. G. L. 2 2009 Complete symmetry group and nonlocal symmetries for some two-dimensional evolution equations. Zbl 1195.35019Myeni, S. M.; Leach, P. G. L. 1 2009 The Ermakov equation: a commentary. Zbl 1199.34006Leach, P. G. L.; Andriopoulos, K. 27 2008 Jacobi’s last multiplier and Lagrangians for multidimensional systems. Zbl 1152.81573Nucci, M. C.; Leach, P. G. L. 23 2008 Nonlinear shear-free radiative collapse. Zbl 1255.83038Misthry, S. S.; Maharaj, S. D.; Leach, P. G. L. 18 2008 Invariance properties of a general bond-pricing equation. Zbl 1147.91017Sinkala, W.; Leach, P. G. L.; O’Hara, J. G. 18 2008 The Jacobi last multiplier and its applications in mechanics. Zbl 1158.70008Nucci, M. C.; Leach, P. G. L. 15 2008 An optimal system and group-invariant solutions of the Cox-Ingersoll-Ross pricing equation. Zbl 1142.91466Sinkala, W.; Leach, P. G. L.; O’Hara, J. G. 14 2008 Zero-coupon bond prices in the Vasicek and CIR models: their computation as group-invariant solutions. Zbl 1132.91438Sinkala, W.; Leach, P. G. L.; O’Hara, J. G. 14 2008 Symmetry and singularity properties of the generalised Kummer-Schwarz and related equations. Zbl 1157.34030Leach, P. G. L. 11 2008 Algebraic properties of evolution partial differential equations modelling prices of commodities. Zbl 1132.35491Sophocleous, C.; Leach, P. G. L.; Andriopoulos, K. 10 2008 The mixmaster universe: the final reckoning? Zbl 1138.83012Andriopoulos, K.; Leach, P. G. L. 4 2008 A note on the integrability of a class of nonlinear ordinary differential equations. Zbl 1362.34063Moyo, Sibusiso; Leach, P. G. L. 1 2008 Noetherian first integrals. Zbl 1160.70008Leach, P. G. L.; Flessas, G. P. 1 2008 Singularity analysis and integrability of a simplified multistrain model for the transmission of tuberculosis and dengue fever. Zbl 1169.34004Nucci, M. C.; Leach, Peter G. L. 1 2008 The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394Euler, Marianna; Euler, Norbert; Leach, Peter 24 2007 Lagrangians galore. Zbl 1153.81413Nucci, M. C.; Leach, P. G. L. 18 2007 Symmetry-based solution of a model for a combination of a risky investment and a riskless investment. Zbl 1154.91027Leach, P. G. L.; O’Hara, J. G.; Sinkala, W. 12 2007 Integrability analysis of the Emden-Fowler equation. Zbl 1167.37032Govinder, K. S.; Leach, P. G. L. 11 2007 Lie integrable cases of the simplified multistrain/two-stream model for tuberculosis and dengue fever. Zbl 1118.92054Nucci, M. C.; Leach, P. G. L. 8 2007 Symmetry and singularity properties of second-order ordinary differential equations of Lie’s Type III. Zbl 1121.34091Andriopoulos, K.; Leach, P. G. L. 7 2007 Autonomous self-similar ordinary differential equations and the Painlevé connection. Zbl 1116.34032Andriopoulos, K.; Leach, P. G. L. 3 2007 Heuristic analysis of the complete symmetry group and nonlocal symmetries for some nonlinear evolution equations. Zbl 1145.35008Myeni, S. M.; Leach, P. G. L. 3 2007 Fuchs’ solution of Painlevé VI equation by means of Jacobi’s last multiplier. Zbl 1121.33021Nucci, M. C.; Leach, P. G. L. 3 2007 Algebraic solutions of some partial differential equations arising in financial mathematics and related areas. Zbl 1158.60358Leach, P. G. L.; Andriopoulos, K. 1 2007 Nonlocal symmetries past, present and future. Zbl 1199.34001Leach, P. G. L.; Andriopoulos, K. 1 2007 Singularity analysis in nonlinear biomathematical models: two case studies. Zbl 1144.34031Meletlidou, 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 1129.34030Leach, P. G. L. 1 2007 Nonlocal symmetries and the complete symmetry group of \(1+1\) evolution equations. Zbl 1110.35327Myeni, S. M.; Leach, P. G. L. 8 2006 Lie symmetries, quantisation and \(c\)-isochronous nonlinear oscillators. Zbl 1097.81042Nucci, M. C.; Leach, P. G. L.; Andriopoulos, K. 7 2006 Analytic behaviour of competition among three species. Zbl 1109.92053Leach, P. G. L.; Miritzis, J. 6 2006 Properties of the dominant behaviour of quadratic systems. Zbl 1121.34043Maharaj, A.; Leach, P. G. L. 3 2006 Reduction properties of ordinary differential equations of maximal symmetry. Zbl 1183.37101Moyo, S.; Leach, P. G. L. 2 2006 Riemann’s equation and Lie point symmetries. Zbl 1087.76092Flessas, G. P.; Leach, P. G. L. 1 2006 ‘Air’ polynomials, Lie point symmetries and a hyperbolic equation. Zbl 1105.37038Leach, P. G. L. 1 2006 Lie point symmetries: an alternative approach to wave-functions. Zbl 1211.35232Andriopoulos, K.; Leach, P. G. L. 1 2006 Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics. Zbl 1080.35163Naicker, V.; Andriopoulos, K.; Leach, P. G. L. 16 2005 Jacobi’s last multiplier and the complete symmetry group of the Ermakov-Pinney equation. Zbl 1079.34026Nucci, M. C.; Leach, P. G. L. 12 2005 Symmetry properties of autonomous integrating factors. Zbl 1106.34022Moyo, 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 1065.81043Leach, P. G. L. 5 2005 Wavefunctions for the time-dependent linear oscillator and Lie point symmetries. Zbl 1067.81020Andriopoulos, K.; Leach, P. G. L. 5 2005 Some group theoretical aspects of nonlinear quantal oscillators. Zbl 1362.81042Andriopoulos, K.; Leach, P. G. L. 4 2005 Wigner functions for time-dependent coupled linear oscillators via linear and quadratic invariant processes. Zbl 1063.81075Sebawe Abdalla, M.; Leach, P. G. L. 4 2005 Ermakov’s superintegrable toy and nonlocal symmetries. Zbl 1106.34021Leach, 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 1065.70007Nucci, M. C.; Leach, P. G. L. 17 2004 An integrable SIS model. Zbl 1067.92054Nucci, M. C.; Leach, P. G. L. 13 2004 Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator. Zbl 1071.70006Leach, P. G. L.; Nucci, M. C. 7 2004 Competing species: Integrability and stability. Zbl 1055.34059Leach, P. G. L.; Miritzis, J. 6 2004 The complete symmetry group of the generalised hyperladder problem. Zbl 1053.34038Andriopoulos, K.; Leach, P. G. L. 5 2004 An oscillatory population model. Zbl 1063.92043Leach, P. G. L.; Andriopoulos, K. 5 2004 Symmetry and singularity analysis in epidemiology. Zbl 1101.34023Leach, P. G. L.; Andriopoulos, K. 4 2004 Symmetry methods applied to a mathematical model of brain tumour. Zbl 1094.35012Moyo, S.; Leach, P. G. L. 3 2004 The Lie algebra \(sl(2, R)\) and so-called Kepler-Ermakov systems. Zbl 1090.34539Leach, P. G. L.; Karasu (Kalkanli), A. 3 2004 Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X'''=0\). Zbl 1054.34002Euler, N.; Wolf, T.; Leach, P. G. L.; Euler, M. 31 2003 Generalisations of the Laplace-Runge-Lenz vector. Zbl 1039.70007Leach, P. G. L.; Flessas, G. P. 13 2003 ...and 113 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 783 Authors 141 Leach, Peter Gavin Lawrence 38 Nucci, Maria Clara 37 Mahomed, Fazal M. 34 Paliathanasis, Andronikos 29 Govinder, Keshlan Sathasiva 28 Guha, Partha 28 Maharaj, Sunil D. 24 Ghose Choudhury, Anindya 20 Senthilvelan, Murugaian 19 Lakshmanan, Muthusamy 19 Sophocleous, Christodoulos 17 Khalique, Chaudry Masood 17 Llibre, Jaume 14 Chandrasekar, V. K. 13 Cariñena, José F. 13 Qadir, Asghar 12 de Lucas, Javier 11 Andriopoulos, Kostis 11 Kara, Abdul Hamid 11 Muriel, Concepción 11 Rañada, Manuel F. 11 Valls Anglés, Cláudia 10 Bouquet, Serge 10 Campoamor-Stursberg, Rutwig 10 Lewis, H. Ralph 10 Moyo, Sibusiso 9 Abraham-Shrauner, Barbara 9 Euler, Norbert 9 Naeem, Imran 9 Tamizhmani, K. M. 9 Tsamparlis, Michael 8 Feix, Marc Roy 8 Ndogmo, Jean-Claude 8 Popovych, Roman O. 7 Gubbiotti, Giorgio 7 Jamal, Sameerah 7 Meleshko, Sergey V. 7 Muatjetjeja, Ben 7 Ruiz, Adrián Tonatiuh 7 Thirukkanesh, S. 6 Ali, Sajid 6 Flessas, George P. 6 Gorringe, V. M. 6 Kudryashov, Nikolaĭ Alekseevich 6 Momoniat, Ebrahim 6 Sinelshchikov, Dmitry I. 6 Sinkala, Winter 6 Sinuvasan, R. 6 Vaneeva, Olena O. 5 Abdalla, M. Sebawe 5 Ayub, Muhammad 5 Gaeta, Giuseppe 5 Goedert, João 5 Halder, Amlan Kanti 5 Khanra, Barun 5 Mahomed, K. S. 5 O’Hara, John G. 5 Pradeep, R. Gladwin 4 Ballesteros, Angel 4 Bozhkov, Yuri Dimitrov 4 Herranz, Francisco José 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. 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