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Mathematics
South Africa
2022

D-Index & Metrics

Mathematics

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

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

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  • RETRACTED ARTICLE: Thermodynamic effect in Darchy-Forchheimer nanofluid flow of a single-wall carbon nanotube/multi-wall carbon nanotube suspension due to a stretching/shrinking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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