D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 37 Citations 5,280 240 World Ranking 1694 National Ranking 7

Research.com Recognitions

Awards & Achievements

Fellow of the Royal Society of South Africa

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Differential equation

Fazal M. Mahomed focuses on Mathematical analysis, Differential equation, Homogeneous space, Ordinary differential equation and Conservation law. His Mathematical analysis study incorporates themes from Symmetry, Nonlinear system and Mathematical physics. His work carried out in the field of Differential equation brings together such families of science as Numerical analysis and Pure mathematics.

He is interested in Noether's theorem, which is a field of Homogeneous space. The concepts of his Ordinary differential equation study are interwoven with issues in Linear system, Perturbation, Ode and Algebra. His Conservation law research incorporates themes from Generator, Partial differential equation and Boundary value problem.

His most cited work include:

  • Relationship between Symmetries andConservation Laws (231 citations)
  • Noether-Type Symmetries and Conservation Laws Via Partial Lagrangians (190 citations)
  • Symmetry Lie algebras of nth order ordinary differential equations (161 citations)

What are the main themes of his work throughout his whole career to date?

Fazal M. Mahomed mostly deals with Mathematical analysis, Ordinary differential equation, Differential equation, Homogeneous space and Mathematical physics. His Mathematical analysis research focuses on Nonlinear system and how it relates to Flow. His work deals with themes such as Pure mathematics, Scalar, Algebra and Ode, Applied mathematics, which intersect with Ordinary differential equation.

His Homogeneous space research includes themes of Lie group and Point. His Mathematical physics research is multidisciplinary, relying on both First integrals, Symmetry, Hamiltonian and Noether's theorem. The study incorporates disciplines such as Conserved quantity and Classical mechanics in addition to Conservation law.

He most often published in these fields:

  • Mathematical analysis (52.47%)
  • Ordinary differential equation (42.97%)
  • Differential equation (25.86%)

What were the highlights of his more recent work (between 2016-2021)?

  • Ordinary differential equation (42.97%)
  • Mathematical physics (23.95%)
  • Ode (17.11%)

In recent papers he was focusing on the following fields of study:

Fazal M. Mahomed spends much of his time researching Ordinary differential equation, Mathematical physics, Ode, Homogeneous space and Scalar. His study in Ordinary differential equation is interdisciplinary in nature, drawing from both Point, Linearization, Pure mathematics and Algebra. His research integrates issues of Exponential integrator, Integrating factor and Differential equation in his study of Pure mathematics.

In his study, Nonlinear system, Lie group and Calculus is strongly linked to Symmetry, which falls under the umbrella field of Homogeneous space. Fazal M. Mahomed combines subjects such as Fourth order, Conservation law, Complex plane and Applied mathematics with his study of Scalar. His research investigates the connection between Algebraic number and topics such as Perfect fluid that intersect with issues in Mathematical analysis.

Between 2016 and 2021, his most popular works were:

  • Dust static plane symmetric solutions and their conformal vector fields in f(R) theory of gravity (13 citations)
  • Proper projective symmetry in LRS Bianchi type V spacetimes (6 citations)
  • Conformal vector fields in proper non-static plane symmetric spacetimes in f(R) gravity (5 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Geometry

His scientific interests lie mostly in Mathematical physics, Vector field, Gravitation, Direct integration of a beam and Conformal map. His work on Hamiltonian system as part of general Mathematical physics research is frequently linked to Operator, thereby connecting diverse disciplines of science. His research on Gravitation frequently links to adjacent areas such as Plane.

In his research, Projective test, Symmetry, Space and Perfect fluid is intimately related to Algebraic number, which falls under the overarching field of Direct integration of a beam. His Space study is concerned with the larger field of Mathematical analysis. Fazal M. Mahomed undertakes interdisciplinary study in the fields of f gravity and Gravity through his research.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Relationship between Symmetries andConservation Laws

A. H. Kara;F. M. Mahomed.
International Journal of Theoretical Physics (2000)

368 Citations

Noether-Type Symmetries and Conservation Laws Via Partial Lagrangians

A. H. Kara;F. M. Mahomed.
Nonlinear Dynamics (2006)

276 Citations

Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics

Rahila Naz;Fazal Mahmood Mahomed;David P. Mason.
Applied Mathematics and Computation (2008)

207 Citations

Symmetry Lie algebras of nth order ordinary differential equations

F.M Mahomed;P.G.L Leach.
Journal of Mathematical Analysis and Applications (1990)

203 Citations

Lie–Bäcklund and Noether Symmetries with Applications

N. H. Ibragimov;A. H. Kara;F. M. Mahomed.
Nonlinear Dynamics (1998)

152 Citations

A Basis of Conservation Laws for Partial Differential Equations

A H Kara;F M Mahomed.
Journal of Nonlinear Mathematical Physics (2002)

152 Citations

Symmetry group classification of ordinary differential equations: Survey of some results

F. M. Mahomed.
Mathematical Methods in The Applied Sciences (2007)

132 Citations

Peristaltic Flow of a Magnetohydrodynamic Johnson–Segalman Fluid

T. Hayat;F. M. Mahomed;S. Asghar.
Nonlinear Dynamics (2005)

126 Citations

Noether symmetry approach in f(R)–tachyon model

Mubasher Jamil;F.M. Mahomed;D. Momeni.
Physics Letters B (2011)

125 Citations

Lie algebras associated with scalar second-order ordinary differential equations

F. M. Mahomed;P. G. L. Leach.
Journal of Mathematical Physics (1989)

116 Citations

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