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Mathematics
South Africa
2022

D-Index & Metrics

Mathematics

D-Index
47
Citations
7186
World Ranking
1294
National Ranking
7

P. G. L. Leach publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where P. G. L. Leach sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 276 publications — 82nd percentile

82% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

P. G. L. Leach D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where P. G. L. Leach sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 47 D-Index — 66th percentile

66% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2022 - Research.com Mathematics in South Africa Leader Award
  • Fellow of the Royal Society of South Africa
  • Fellow of the Royal Society of South Africa
  • Fellow of the Royal Society of South Africa
  • Fellow of the Royal Society of South Africa

Overview

P. G. L. Leach is affiliated with the University of KwaZulu-Natal in South Africa. Their primary fields of study include Physics and Astronomy as well as Mathematics. The subfields of focus encompass Statistical and Nonlinear Physics, Astronomy and Astrophysics, Geometry and Topology, Nuclear and High Energy Physics, and Modeling and Simulation.

The main topics of research covered by P. G. L. Leach include:

  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Cosmology and Gravitation Theories
  • Black Holes and Theoretical Physics
  • Molecular Spectroscopy and Chirality
  • Fractional Differential Equations Solutions
  • Nanofluid Flow and Heat Transfer

Key recent publications illustrate the range of research interests and are as follows:

  • RETRACTED ARTICLE: Thermodynamic effect in Darchy-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 (2020), Journal of Engineering Mathematics
  • The Fallacy of Year-Round Breeding in Polyphagous Tropical Fruit Flies (Diptera: Tephritidae): Evidence for a Seasonal Reproductive Arrestment in Bactrocera Species (2022), Insects
  • Interacting dark energy in curved FLRW spacetime from Weyl Integrable Spacetime (2022), Journal of High Energy Astrophysics
  • Numerical Investigation of Natural Convection Viscoelastic Jeffrey's Nanofluid Flow from a Vertical Permeable Flat Plate with Heat Generation, Thermal Radiation, and Chemical Reaction (2020), Abstract and Applied Analysis
  • New analytic solutions in f(R)-cosmology from Painlevé analysis (2024), Mathematical Methods in the Applied Sciences

Frequent co-authors collaborating with P. G. L. Leach include:

  • Andronikos Paliathanasis
  • Amlan K. Halder
  • Genly León
  • Titilayo M. Agbaje
  • A. Paliathanasis

Their work has appeared repeatedly in several prominent publication venues such as:

  • arXiv (Cornell University)
  • Mathematical Methods in the Applied Sciences
  • Quaestiones Mathematicae
  • Journal of Engineering Mathematics
  • Mathematics

P. G. L. Leach has been recognized as a Fellow of the Royal Society of South Africa. This honor reflects their standing within the scientific community.

Best Publications

  • Cosmological Solutions of $f(T)$ Gravity

    Andronikos Paliathanasis;John D. Barrow;P. G. L. Leach;P. G. L. Leach;P. G. L. Leach

  • A direct approach to finding exact invariants for one‐dimensional time‐dependent classical Hamiltonians

    H. Ralph Lewis;P. G. L. Leach

  • Symmetry Lie algebras of nth order ordinary differential equations

    F.M Mahomed;P.G.L Leach

  • The Ermakov equation: A commentary

    P.G.L. Leach;S.K. Andriopoulos

  • First integrals for the modified Emden equation q̈+α(t) q̇+qn =0

    Unknown

  • Lie algebras associated with scalar second-order ordinary differential equations

    F. M. Mahomed;P. G. L. Leach

  • On the singularity analysis of ordinary differential equations invariant under time translation and rescaling

    M R Feix;C Geronimi;L Cairó;P G L Leach

  • Lagrangians Galore

    M. C. Nucci;P. G. L. Leach

  • On the theory of time‐dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type

    P. G. L. Leach

  • Generalized invariants for the time-dependent harmonic oscillator

    N. J. Günther;P. G. L. Leach

  • An exact invariant for a class of time‐dependent anharmonic oscillators with cubic anharmonicity

    P. G. L. Leach

  • Exact invariants for a class of time-dependent nonlinear Hamiltonian systems

    H. Ralph Lewis;P. G. L. Leach

  • THE LINEAR SYMTRIES OF A NONLINEAR DIFFERENTIAL EQUATION

    F. M. Mahomed;P. G.L. Leach

  • Quantification of substituent and ligand size by the use of solid angles

    David White;B. Craig Taverner;P. G. L. Leach;Neil J. Coville

  • Exact solutions for the Tikekar superdense star

    S. D. Maharaj;P. G. L. Leach

  • Generalized Ermakov systems

    P.G.L. Leach

  • The Painleve test, hidden symmetries and the equation y"+yy'+Ky3=0

    R L Lemmer;P G L Leach

  • Analysis and solution of a nonlinear second‐order differential equation through rescaling and through a dynamical point of view

    P. G. L. Leach;M. R. Feix;S. Bouquet

  • Lie point symmetries for systems of second order linear ordinary differential equations

    V M Gorringe;P G L Leach

  • Integration of second order ordinary differential equations not possessing Lie point symmetries

    B Abraham-Shrauner;K.S Govinder;P.G.L Leach

  • Linearisable third-order ordinary differential equations and generalised Sundman transformations : The Case X′′′=0

    Norbert Euler;T Wolf;P. G. L. Leach;Marianna Euler

  • The Jacobi Last Multiplier and its applications in mechanics

    M C Nucci;P G L Leach

Frequent Co-Authors

Fazal M. Mahomed
Fazal M. Mahomed University of the Witwatersrand
Roy Maartens
Roy Maartens University of the Western Cape
Neil J. Coville
Neil J. Coville University of the Witwatersrand
Abdul H. Kara
Abdul H. Kara University of the Witwatersrand

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