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George W. Bluman

Observed names: Bluman, G., Bluman, George, Bluman, George W, Bluman, George W., Bluman, George W. 1943-, G. BLUMAN, G. Bluman, G. W. Bluman, G.W. Bluman, GEORGE BLUMAN, GEORGE W. BLUMAN, George Bluman, George W Bluman
ORCID: 0000-0003-3816-488X
Observed ORCID: 0000-0003-3816-488X
OpenAlex ID: A5029337066
Symmetries and Differential Equations
1989 · George W. Bluman, Sukeyuki Kumei · Applied mathematical sciences · 3,377
Similarity Methods for Differential Equations
1974 · G. W. Bluman, J. D. Cole · Applied mathematical sciences · 1,304
Applications of Symmetry Methods to Partial Differential Equations
2009 · George W. Bluman, Alexei F. Cheviakov, et al. · Applied mathematical sciences · 886
Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
2002 · STEPHEN C. ANCO, GEORGE BLUMAN · European Journal of Applied Mathematics · 490
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Symmetry and Integration Methods for Differential Equations
2002 · Bluman, George W, Anco, Stephen C · Applied Mathematical Sciences · 472
Direct construction method for conservation laws of partial differential equations Part II: General treatment
2002 · STEPHEN C. ANCO, GEORGE BLUMAN · European Journal of Applied Mathematics · 420
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New classes of symmetries for partial differential equations
1988 · George W. Bluman, Gregory J. Reid, et al. · Journal of Mathematical Physics · 297
Direct Construction of Conservation Laws from Field Equations
1997 · Stephen C. Anco, George Bluman · Physical Review Letters · 250
On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)]−(∂u/∂t)=0
1980 · George Bluman, Sukeyuki Kumei · Journal of Mathematical Physics · 209
When Nonlinear Differential Equations are Equivalent to Linear Differential Equations
1982 · Sukeyuki Kumei, George W. Bluman · SIAM Journal on Applied Mathematics · 135
Ordinary Differential Equations
1974 · G. W. Bluman, J. D. Cole · Applied mathematical sciences · 123
On invariance properties of the wave equation
1987 · George Bluman, Sukeyuki Kumei · Journal of Mathematical Physics · 99
Framework for potential systems and nonlocal symmetries: Algorithmic approach
2005 · George Bluman, Alexei F. Cheviakov · Journal of Mathematical Physics · 76
On the Transformation of Diffusion Processes into the Wiener Process
1980 · George W. Bluman · SIAM Journal on Applied Mathematics · 69
Nonlocally related systems, linearization and nonlocal symmetries for the nonlinear wave equation
2006 · George Bluman, Alexei F. Cheviakov · Journal of Mathematical Analysis and Applications · 68
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Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples
2006 · George Bluman, Alexei F. Cheviakov, et al. · Journal of Mathematical Physics · 67
Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
1990 · G. W. Bluman, S. Kumei · European Journal of Applied Mathematics · 66
Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
1990 · G. W. Bluman, S. Kumei · European Journal of Applied Mathematics · 64
New conservation laws obtained directly from symmetry action on a known conservation law
2005 · George Bluman, Temuerchaolu, et al. · Journal of Mathematical Analysis and Applications · 60
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Derivation of conservation laws from nonlocal symmetries of differential equations
1996 · Stephen C. Anco, George Bluman · Journal of Mathematical Physics · 60
Local and nonlocal symmetries for nonlinear telegraph equation
2005 · G. W. Bluman, Temuerchaolu, et al. · Journal of Mathematical Physics · 59
Untitled
1969 · George Bluman, Julian Cole · Indiana University Mathematics Journal · 55
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Use and construction of potential symmetries
1993 · G. Bluman · Mathematical and Computer Modelling · 54
Integrating factors and first integrals for ordinary differential equations
1998 · Stephen C. Anco, George Bluman · European Journal of Applied Mathematics · 53
Ordinary Differential Equations
1989 · George W. Bluman, Sukeyuki Kumei · Applied mathematical sciences · 53
Works count: 135
Citation count: 10,210
H-index: 37
I10-index: 67
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