Symmetries and differential equations GW Bluman, S Kumei Springer Science & Business Media, 2013 | 5269 | 2013 |
Similarity methods for differential equations GW Bluman, JD Cole Springer Science & Business Media, 2012 | 1682 | 2012 |
Symmetry and integration methods for differential equations G Bluman, S Anco Springer Science & Business Media, 2008 | 1613 | 2008 |
The general similarity solution of the heat equation GW Bluman, JD Cole Journal of mathematics and mechanics 18 (11), 1025-1042, 1969 | 1308 | 1969 |
Applications of symmetry methods to partial differential equations GW Bluman springer, 2010 | 1245 | 2010 |
Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications SC Anco, G Bluman European Journal of Applied Mathematics 13 (5), 545-566, 2002 | 629 | 2002 |
Direct construction method for conservation laws of partial differential equations Part II: General treatment SC Anco, G Bluman European Journal of Applied Mathematics 13 (5), 567-585, 2002 | 536 | 2002 |
New classes of symmetries for partial differential equations GW Bluman, GJ Reid, S Kumei Journal of Mathematical Physics 29 (4), 806-811, 1988 | 348 | 1988 |
Direct construction of conservation laws from field equations SC Anco, G Bluman Physical review letters 78 (15), 2869, 1997 | 325 | 1997 |
On the remarkable nonlinear diffusion equation (∂/∂ x)[a (u+ b)− 2 (∂ u/∂ x)]−(∂ u/∂ t)= 0 G Bluman, S Kumei Journal of Mathematical Physics 21 (5), 1019-1023, 1980 | 291 | 1980 |
When nonlinear differential equations are equivalent to linear differential equations S Kumei, GW Bluman SIAM Journal on Applied Mathematics 42 (5), 1157-1173, 1982 | 185 | 1982 |
On invariance properties of the wave equation G Bluman, S Kumei Journal of mathematical physics 28 (2), 307-318, 1987 | 140 | 1987 |
On the transformation of diffusion processes into the Wiener process GW Bluman SIAM Journal on Applied Mathematics 39 (2), 238-247, 1980 | 96 | 1980 |
New conservation laws obtained directly from symmetry action on a known conservation law G Bluman, SC Anco Journal of mathematical analysis and applications 322 (1), 233-250, 2006 | 92 | 2006 |
Local and nonlocal symmetries for nonlinear telegraph equation GW Bluman, T Temuerchaolu, R Sahadevan Journal of mathematical physics 46 (2), 2005 | 88 | 2005 |
Integrating factors and first integrals for ordinary differential equations SC Anco, G Bluman European Journal of Applied Mathematics 9 (3), 245-259, 1998 | 88 | 1998 |
Nonlocally related systems, linearization and nonlocal symmetries for the nonlinear wave equation G Bluman, AF Cheviakov Journal of mathematical analysis and applications 333 (1), 93-111, 2007 | 83 | 2007 |
Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples G Bluman, AF Cheviakov, NM Ivanova Journal of mathematical physics 47 (11), 2006 | 83 | 2006 |
Framework for potential systems and nonlocal symmetries: Algorithmic approach G Bluman, AF Cheviakov Journal of mathematical physics 46 (12), 2005 | 83 | 2005 |
Symmetry-based algorithms to relate partial differential equations: I. Local symmetries GW Bluman, S Kumei European Journal of Applied Mathematics 1 (3), 189-216, 1990 | 83 | 1990 |