A direct approach to finding exact invariants for one‐dimensional time‐dependent classical Hamiltonians HR Lewis, PGL Leach Journal of Mathematical Physics 23 (12), 2371-2374, 1982 | 273 | 1982 |
Symmetry Lie algebras of nth order ordinary differential equations FM Mahomed, PGL Leach Journal of Mathematical Analysis and Applications 151 (1), 80-107, 1990 | 219 | 1990 |
Cosmological solutions of gravity A Paliathanasis, JD Barrow, PGL Leach Physical Review D 94 (2), 023525, 2016 | 192 | 2016 |
First integrals for the modified Emden equation q+ α (t) q+ qn= 0 PGL Leach Journal of Mathematical Physics 26 (10), 2510-2514, 1985 | 144 | 1985 |
The Ermakov equation: a commentary PGL Leach, K Andriopoulos Applicable Analysis and Discrete Mathematics, 146-157, 2008 | 141 | 2008 |
Lie algebras associated with scalar second‐order ordinary differential equations FM Mahomed, PGL Leach Journal of Mathematical Physics 30 (12), 2770-2777, 1989 | 120 | 1989 |
Exact solutions for the Tikekar superdense star SD Maharaj, PGL Leach Journal of Mathematical Physics 37 (1), 430-437, 1996 | 103 | 1996 |
Invariants and wavefunctions for some time‐dependent harmonic oscillator‐type Hamiltonians PGL Leach Journal of Mathematical Physics 18 (10), 1902-1907, 1977 | 99 | 1977 |
On the theory of time‐dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type PGL Leach Journal of Mathematical Physics 18 (8), 1608-1611, 1977 | 99 | 1977 |
The linear symtries of a nonlinear differential equation FM Mahomed, PGL Leach Quaestiones Mathematicae 8 (3), 241-274, 1985 | 95 | 1985 |
Lagrangians galore MC Nucci, PGL Leach Journal of mathematical physics 48 (12), 2007 | 92 | 2007 |
Linearisable Third-Order Ordinary Differential Equations and Generalised Sundman Transformations: The Case X ′′′=0 N Euler, T Wolf, PGL Leach, M Euler Acta Applicandae Mathematica 76, 89-115, 2003 | 92 | 2003 |
Generalized invariants for the time‐dependent harmonic oscillator NJ Günther, PGL Leach Journal of Mathematical Physics 18 (4), 572-576, 1977 | 91 | 1977 |
An exact invariant for a class of time‐dependent anharmonic oscillators with cubic anharmonicity PGL Leach Journal of Mathematical Physics 22 (3), 465-470, 1981 | 83 | 1981 |
Exact invariants for a class of time‐dependent nonlinear Hamiltonian systems HR Lewis, PGL Leach Journal of Mathematical Physics 23 (1), 165-175, 1982 | 82 | 1982 |
Jacobi’s last multiplier and Lagrangians for multidimensional systems MC Nucci, PGL Leach Journal of mathematical physics 49 (7), 2008 | 81 | 2008 |
Generalized Ermakov systems PGL Leach Physics Letters A 158 (3-4), 102-106, 1991 | 81 | 1991 |
Integration of second order ordinary differential equations not possessing Lie point symmetries B Abraham-Shrauner, KS Govinder, PGL Leach Physics Letters A 203 (4), 169-174, 1995 | 79 | 1995 |
The Painleve test, hidden symmetries and the equation y"+ yy'+ Ky3= 0 RL Lemmer, PGL Leach Journal of Physics A: Mathematical and General 26 (19), 5017, 1993 | 78 | 1993 |
Harmonic oscillator with variable mass PGL Leach Journal of Physics A: Mathematical and General 16 (14), 3261, 1983 | 77 | 1983 |