World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
36
Citations
13773
World Ranking
2569
National Ranking
102

Overview

George W. Bluman is affiliated with the University of British Columbia in Canada. Their research broadly spans the fields of Physics and Astronomy as well as Mathematics, with a focus on several specialized subfields and topics.

Within their main fields of study, George W. Bluman has contributed notably to:

  • Physics and Astronomy
  • Mathematics

The primary subfields they have worked in include:

  • Statistical and Nonlinear Physics
  • Numerical Analysis
  • Geometry and Topology
  • Modeling and Simulation
  • Spectroscopy

The main topics covered in their publications are:

  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Numerical methods for differential equations
  • Algebraic structures and combinatorial models
  • Fractional Differential Equations Solutions
  • Molecular spectroscopy and chirality
  • Quantum chaos and dynamical systems

George W. Bluman's recent scholarly output includes these papers:

  • "How symmetries yield non-invertible mappings of linear partial differential equations," 2020, Journal of Mathematical Analysis and Applications
  • "A new symmetry-based method for constructing nonlocally related PDE systems from admitted multi-parameter groups," 2020, Journal of Mathematical Physics
  • "Differential invariant method for seeking nonlocally related systems and nonlocal symmetries. II: Connections with the conservation law method," 2021, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • "Differential invariant method for seeking nonlocally related systems and nonlocal symmetries. I: General theory and examples," 2021, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • "The natural extension to PDEs of Lie's reduction of order algorithm for ODEs," 2024, Communications in Nonlinear Science and Numerical Simulation

Frequent co-authors in George W. Bluman's collaborative work include:

  • R. de la Rosa
  • M. S. Bruzón
  • M.L. Gandarias
  • Temuer Chaolu
  • Zühal Küçükarslan Yüzbaşı

The venues where George W. Bluman most often publishes are:

  • Journal of Mathematical Analysis and Applications
  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • arXiv (Cornell University)
  • Journal of Mathematical Physics
  • Communications in Nonlinear Science and Numerical Simulation

Best Publications

  • Symmetries and differential equations

    George W. Bluman;Sukeyuki Kumei

  • Similarity methods for differential equations

    George W. Bluman;Julian D. Cole

  • Symmetry and Integration Methods for Differential Equations

    George W. Bluman;Stephen C. Anco

  • Applications of Symmetry Methods to Partial Differential Equations

    George W. Bluman;Alexei F. Cheviakov;Stephen C. Anco

  • Direct construction method for conservation laws of partial differential equations. Part I: Examples of conservation law classifications

    Stephen C. Anco;George Bluman

  • Direct construction method for conservation laws of partial differential equations. Part II: General treatment

    Stephen C. Anco;George Bluman

  • New classes of symmetries for partial differential equations

    George W. Bluman;Gregory J. Reid;Sukeyuki Kumei

  • Direct Construction of Conservation Laws from Field Equations

    Stephen C. Anco;George Bluman

  • On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)]−(∂u/∂t)=0

    George Bluman;Sukeyuki Kumei

  • On invariance properties of the wave equation

    George Bluman;Sukeyuki Kumei

  • ON THE TRANSFORMATION OF DIFFUSION PROCESSES INTO THE WIENER PROCESS

    George W. Bluman

  • Derivation of conservation laws from nonlocal symmetries of differential equations

    Stephen C. Anco;George Bluman

  • Framework for potential systems and nonlocal symmetries: Algorithmic approach

    George Bluman;Alexei F. Cheviakov

  • New conservation laws obtained directly from symmetry action on a known conservation law

    George Bluman;Temuerchaolu;Stephen C. Anco

  • Local and nonlocal symmetries for nonlinear telegraph equation

    G. W. Bluman;Temuerchaolu;R. Sahadevan

  • Nonlocally related systems, linearization and nonlocal symmetries for the nonlinear wave equation

    George Bluman;Alexei F. Cheviakov

  • Biology and Chemistry

    George W. Bluman

  • Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

    G. W. Bluman;S. Kumei

  • Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples

    George Bluman;Alexei F. Cheviakov;Nataliya M. Ivanova

  • Use and construction of potential symmetries

    G. Bluman

Frequent Co-Authors

Abdul H. Kara
Abdul H. Kara University of the Witwatersrand
Zhenya Yan
Zhenya Yan Chinese Academy of Sciences
Thomas Tiedje
Thomas Tiedje University of Victoria
Michael J. Ward
Michael J. Ward University of British Columbia

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, expanding your skill set with related online degrees can open diverse career paths. Many professionals complement their math background with business knowledge, such as through the easiest online mba. These programs offer flexible schedules and accessible coursework, making it easier to balance study with work.

For those aiming to advance further, a 1 year dba program online offers a fast-track to doctoral-level expertise, blending advanced business administration with mathematical analysis skills.

Finance is another natural extension for math graduates, with many opting for an online masters in finance to deepen their understanding of financial markets, risk management, and quantitative modeling.

If speed is a priority, consider the quickest online mba programs available. These accelerated courses enable students to gain valuable business credentials alongside their mathematical expertise in a shorter time frame.

Best Scientists Citing George W. Bluman

Trending Scientists