Edit Profile (opens in new tab) Bluman, George Wallace Co-Author Distance Author ID: bluman.george-w Published as: Bluman, George; Bluman, George W.; Bluman, G. W.; Bluman, G. more...less Homepage: https://personal.math.ubc.ca/~bluman/ External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 77 Publications since 1969, including 5 Books and 1 Additional arXiv Preprint Biographic References: 1 Publication Co-Authors: 36 Co-Authors with 59 Joint Publications 917 Co-Co-Authors all top 5 Co-Authors 16 single-authored 11 Anco, Stephen C. 10 Cheviakov, Alexei F. 10 Kumei, Sukeyuki 6 Chaolu, Temuer 4 Reid, Gregory John 3 Buhe, Eerdun 3 Shtelen, Vladimir M. 3 Yang, Zhengzheng 2 Cole, Julian David 2 Yan, Zhenya 1 Alatancang, Chen 1 Bihlo, Alexander 1 Broadbridge, Philip 1 Bruzón, Maria Santos 1 Cook, L. Pamela 1 dela Rosa, Rafael S. 1 Doran-Wu, Patrick 1 Dridi, Raouf 1 Finlay, Deshin 1 Flaherty, Joe 1 Gandarias Núñez, Maria Luz 1 Gregory, R. Douglas 1 Hoskins, Jeremy G. 1 Ivanova, Nataliya M. 1 Kara, Abdul Hamid 1 Kevorkian, Jerry 1 King, John Robert 1 Malmuth, Norman D. 1 Mrani-Zentar, Omar 1 Sahadevan, Ramajayam 1 Senthilvelan, Murugaian 1 Tian, Shoufu 1 Tong, Laga 1 Ward, Michael J. 1 Yulan, Hu 1 Yüzbaşi, Zühal Küçükarslan all top 5 Serials 18 Journal of Mathematical Physics 12 Journal of Mathematical Analysis and Applications 6 European Journal of Applied Mathematics 5 SIAM Journal on Applied Mathematics 4 Applied Mathematical Sciences 3 Journal of Engineering Mathematics 2 Acta Applicandae Mathematicae 2 Journal of Nonlinear Mathematical Physics 1 Archives of Mechanics 1 Computer Physics Communications 1 IMA Journal of Applied Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 International Journal of Non-Linear Mechanics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematika 1 Quarterly of Applied Mathematics 1 Journal of Symbolic Computation 1 Mathematical and Computer Modelling 1 Journal of Physics A: Mathematical and General 1 Notices of the American Mathematical Society 1 Physical Review Letters 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Mathematics and Mechanics 1 Symmetry 1 Problem Books in Mathematics all top 5 Fields 57 Partial differential equations (35-XX) 20 Global analysis, analysis on manifolds (58-XX) 11 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Fluid mechanics (76-XX) 5 Topological groups, Lie groups (22-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 3 Mechanics of deformable solids (74-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 4,140 times in 2,502 Documents Cited by ▼ Year ▼ Symmetries and differential equations. Zbl 0698.35001 Bluman, George W.; Kumei, Sukeyuki 962 1989 Symmetry and integration methods for differential equations. Zbl 1013.34004 Bluman, George W.; Anco, Stephen C. 394 2002 Similarity methods for differential equations. Zbl 0292.35001 Bluman, G. W.; Cole, J. D. 340 1974 Applications of symmetry methods to partial differential equations. Zbl 1223.35001 Bluman, George W.; Cheviakov, Alexei; Anco, Stephen 335 2010 The general similarit> solution of the heat equation. Zbl 0187.03502 Bluman, George W.; Cole, Julian D. 263 1969 Symmetry-based algorithms to relate partial differential equations. I: Local symmetries. Zbl 0718.35003 Bluman, G. W.; Kumei, S. 210 1990 Direct construction method for conservation laws of partial differential equations. I: Examples of conservation law classifications. Zbl 1034.35070 Anco, Stephen C.; Bluman, George 189 2002 Direct construction method for conservation laws of partial differential equations. II: General treatment. Zbl 1034.35071 Anco, Stephen C.; Bluman, George 179 2002 Symmetry-based algorithms to relate partial differential equations. II: Linearization by nonlocal symmetries. Zbl 0718.35004 Bluman, G. W.; Kumei, S. 178 1990 Direct construction of conservation laws from field equations. Zbl 0948.58015 Anco, Stephen C.; Bluman, George 124 1997 New classes of symmetries for partial differential equations. Zbl 0669.58037 Bluman, George W.; Reid, Gregory J.; Kumei, Sukeyuki 102 1988 On the remarkable nonlinear diffusion equation \((\partial /\partial x)[a(u+b)]_{-2}(\partial u/\partial x)]-(\partial u/partial t)=0\). Zbl 0448.35027 Bluman, George; Kumei, Sukeyuki 70 1980 When nonlinear differential equations are equivalent to linear differential equations. Zbl 0506.35003 Kumei, Sukeyuki; Bluman, George W. 47 1982 On invariance properties of the wave equation. Zbl 0662.35065 Bluman, George; Kumei, Sukeyuki 41 1987 Framework for nonlocally related partial differential equation systems and nonlocal symmetries: extension, simplification, and examples. Zbl 1112.35010 Bluman, George; Cheviakov, Alexei F.; Ivanova, Nataliya M. 40 2006 Framework for potential systems and nonlocal symmetries: algorithmic approach. Zbl 1111.35002 Bluman, George; Cheviakov, Alexei F. 38 2005 New conservation laws obtained directly from symmetry action on a known conservation law. Zbl 1129.35067 Bluman, George; Temuerchaolu; Anco, Stephen C. 34 2006 On the transformation of diffusion processes into the Wiener process. Zbl 0448.60056 Bluman, George W. 33 1980 Nonlocally related systems, linearization and nonlocal symmetries for the nonlinear wave equation. Zbl 1133.35069 Bluman, George; Cheviakov, Alexei F. 30 2007 Simplifying the form of Lie groups admitted by a given differential equation. Zbl 0696.35005 Bluman, George 28 1990 Integrating factors and first integrals for ordinary differential equations. Zbl 0922.34006 Anco, Stephen C.; Bluman, George 27 1998 Local and nonlocal symmetries for nonlinear telegraph equation. Zbl 1076.35077 Bluman, G. W.; Temuerchaolu; Sahadevan, R. 26 2005 Derivation of conservation laws from nonlocal symmetries of differential equations. Zbl 0882.35007 Anco, Stephen C.; Bluman, George 25 1996 On mapping linear partial differential equations to constant coefficient equations. Zbl 0544.35007 Bluman, George W. 24 1983 Conservation laws for nonlinear telegraph equations. Zbl 1077.35087 Bluman, G. W.; Temuerchaolu 23 2005 New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive Boussinesq equations. Zbl 1196.68338 Yan, Zhenya; Bluman, George 23 2002 Nonlocal symmetries and nonlocal conservation laws of Maxwell’s equations. Zbl 0887.35146 Anco, Stephen C.; Bluman, George 22 1997 The use of factors to discover potential systems or linearizations. Zbl 0841.35005 Bluman, George; Doran-Wu, Patrick 20 1995 Nonclassical potential solutions of partial differential equations. Zbl 1084.35005 Bluman, George W.; Yan, Zhenya 19 2005 Use and construction of potential symmetries. Zbl 0792.35008 Bluman, G. 19 1993 Construction of conservation laws: how the direct method generalizes Noether’s theorem. Zbl 1253.35007 Bluman, George W.; Cheviakov, Alexei F.; Anco, Stephen C. 18 2009 An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations. Zbl 1308.35013 Chaolu, Temuer; Bluman, G. 16 2014 Invertible mappings of nonlinear PDEs to linear PDEs through admitted conservation laws. Zbl 1157.35002 Anco, Stephen; Bluman, George; Wolf, Thomas 16 2008 New symmetries for ordinary differential equations. Zbl 0673.58041 Bluman, George W.; Reid, Gregory J. 15 1988 Comparing symmetries and conservation laws of nonlinear telegraph equations. Zbl 1110.35045 Bluman, G. W.; Temuerchaolu 14 2005 A symmetry-based method for constructing nonlocally related partial differential equation systems. Zbl 1288.35027 Bluman, George W.; Yang, Zhengzheng 14 2013 Connections between symmetries and conservation laws. Zbl 1092.70016 Bluman, George 13 2005 Applications of the general similarity solution of the heat equation to boundary-value problems. Zbl 0276.35053 Bluman, George W. 11 1974 New classes of Schrödinger equations equivalent to the free particle equation through non-local transformations. Zbl 0902.34071 Bluman, George; Shtelen, Vladimir 10 1996 Nonlocally related PDE systems for one-dimensional nonlinear elastodynamics. Zbl 1155.74009 Bluman, G.; Cheviakov, A. F.; Ganghoffer, J.-F. 10 2008 Potential symmetries and linearization. Zbl 0793.35089 Bluman, G. W. 10 1993 Multidimensional partial differential equation systems: nonlocal symmetries, nonlocal conservation laws, exact solutions. Zbl 1314.35020 Cheviakov, Alexei F.; Bluman, George W. 10 2010 Erratum: New classes of symmetries for partial differential equations. Zbl 0684.58046 Bluman, G. W.; Reid, G. J.; Kumei, Sukeyuki 9 1988 Nonlocal transformations of Kolmogorov equations into the backward heat equation. Zbl 1073.35094 Bluman, George; Shtelen, Vladimir 9 2004 Symmetry reductions, exact solutions, and conservation laws of the generalized Zakharov equations. Zbl 1329.35028 Buhe, Eerdun; Bluman, George W. 9 2015 Nonclassical analysis of the nonlinear Kompaneets equation. Zbl 1367.35144 Bluman, George W.; Tian, Shou-fu; Yang, Zhengzheng 9 2014 Exact solutions for wave equations of two-layered media with smooth transition. Zbl 0644.73035 Bluman, George; Kumei, Sukeyuki 7 1988 Potential symmetries and equivalent conservation laws. Zbl 0821.35006 Bluman, George 7 1993 Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method. Zbl 1331.35019 Buhe, Eerdun; Bluman, G.; Kara, A. H. 7 2016 Multidimensional partial differential equation systems: generating new systems via conservation laws, potentials, gauges, subsystems. Zbl 1314.35019 Cheviakov, Alexei F.; Bluman, George W. 7 2010 Solution and asymptotic/blow-up behaviour of a class of nonlinear dissipative systems. Zbl 1131.34030 Bluman, George; Cheviakov, Alexei F.; Senthilvelan, M. 6 2008 Similarity: Generalizations, applications and open problems. Zbl 1188.00015 Bluman, G.; Broadbridge, P.; King, J. R.; Ward, M. J. 5 2010 Similarity solutions of the one-dimensional Fokker-Planck equation. Zbl 0216.13003 Bluman, G. W. 4 1971 On locally and nonlocally related potential systems. Zbl 1311.35064 Cheviakov, Alexei F.; Bluman, George W. 4 2010 Use of group analysis in solving overdetermined systems of ordinary differential equations. Zbl 0683.34001 Bluman, George W.; Kumei, Sukeyuki 3 1989 Sequences of related linear PDEs. Zbl 0694.35029 Bluman, George W.; Reid, Gregory J. 3 1989 Invariant solutions for ordinary differential equations. Zbl 0714.34008 Bluman, George 3 1990 An overview of potential symmetries. Zbl 0803.58049 Bluman, George 3 1993 Higher order symmetries and integrating factors for ordinary differential equations. Zbl 1331.34049 Hoskins, J. G.; Bluman, G. 3 2016 How symmetries yield non-invertible mappings of linear partial differential equations. Zbl 1450.35020 Bluman, George W.; Yüzbaşı, Zühal Küçükarslan 3 2020 Conservative parameterization schemes. Zbl 1285.86003 Bihlo, Alexander; Bluman, George 3 2013 Developments in similarity methods related to pioneering work of Julian Cole. Zbl 0914.76003 Bluman, George W.; Shtelen, Vladimir 2 1996 A reduction algorithm for an ordinary differential equation admitting a solvable Lie group. Zbl 0714.34007 Bluman, George 2 1990 Some recent developments in finding systematically conservation laws and nonlocal symmetries for partial differential equations. Zbl 1303.76115 Bluman, George; Yang, Zhengzheng 2 2014 Nonlocal extensions of similarity methods. Zbl 1362.76045 Bluman, George 2 2008 Numerical similarity solutions to Stefan problems. Zbl 0358.65077 Milinazzo, F.; Bluman, G. W. 1 1975 On transformations of the biharmonic equation. Zbl 0586.35038 Bluman, George W.; Gregory, R. Douglas 1 1985 Potential symmetries. Zbl 0791.58114 Bluman, George 1 1990 Some approaches to the calculation of conservation laws for a telegraph system and their comparisons. Zbl 1423.35082 Buhe, Eerdun; Bluman, G. W.; Alatancang, Chen; Yulan, Hu 1 2018 Connecting Euler and Lagrange systems as nonlocally related systems of dynamical nonlinear elasticity. Zbl 1269.74021 Bluman, G.; Ganghoffer, J. F. 1 2011 Composition of Lie group elements from basis Lie algebra elements. Zbl 1417.22012 Bluman, George W.; Mrani-Zentar, Omar; Finlay, Deshin 1 2018 How symmetries yield non-invertible mappings of linear partial differential equations. Zbl 1450.35020 Bluman, George W.; Yüzbaşı, Zühal Küçükarslan 3 2020 Some approaches to the calculation of conservation laws for a telegraph system and their comparisons. Zbl 1423.35082 Buhe, Eerdun; Bluman, G. W.; Alatancang, Chen; Yulan, Hu 1 2018 Composition of Lie group elements from basis Lie algebra elements. Zbl 1417.22012 Bluman, George W.; Mrani-Zentar, Omar; Finlay, Deshin 1 2018 Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method. Zbl 1331.35019 Buhe, Eerdun; Bluman, G.; Kara, A. H. 7 2016 Higher order symmetries and integrating factors for ordinary differential equations. Zbl 1331.34049 Hoskins, J. G.; Bluman, G. 3 2016 Symmetry reductions, exact solutions, and conservation laws of the generalized Zakharov equations. Zbl 1329.35028 Buhe, Eerdun; Bluman, George W. 9 2015 An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations. Zbl 1308.35013 Chaolu, Temuer; Bluman, G. 16 2014 Nonclassical analysis of the nonlinear Kompaneets equation. Zbl 1367.35144 Bluman, George W.; Tian, Shou-fu; Yang, Zhengzheng 9 2014 Some recent developments in finding systematically conservation laws and nonlocal symmetries for partial differential equations. Zbl 1303.76115 Bluman, George; Yang, Zhengzheng 2 2014 A symmetry-based method for constructing nonlocally related partial differential equation systems. Zbl 1288.35027 Bluman, George W.; Yang, Zhengzheng 14 2013 Conservative parameterization schemes. Zbl 1285.86003 Bihlo, Alexander; Bluman, George 3 2013 Connecting Euler and Lagrange systems as nonlocally related systems of dynamical nonlinear elasticity. Zbl 1269.74021 Bluman, G.; Ganghoffer, J. F. 1 2011 Applications of symmetry methods to partial differential equations. Zbl 1223.35001 Bluman, George W.; Cheviakov, Alexei; Anco, Stephen 335 2010 Multidimensional partial differential equation systems: nonlocal symmetries, nonlocal conservation laws, exact solutions. Zbl 1314.35020 Cheviakov, Alexei F.; Bluman, George W. 10 2010 Multidimensional partial differential equation systems: generating new systems via conservation laws, potentials, gauges, subsystems. Zbl 1314.35019 Cheviakov, Alexei F.; Bluman, George W. 7 2010 Similarity: Generalizations, applications and open problems. Zbl 1188.00015 Bluman, G.; Broadbridge, P.; King, J. R.; Ward, M. J. 5 2010 On locally and nonlocally related potential systems. Zbl 1311.35064 Cheviakov, Alexei F.; Bluman, George W. 4 2010 Construction of conservation laws: how the direct method generalizes Noether’s theorem. Zbl 1253.35007 Bluman, George W.; Cheviakov, Alexei F.; Anco, Stephen C. 18 2009 Invertible mappings of nonlinear PDEs to linear PDEs through admitted conservation laws. Zbl 1157.35002 Anco, Stephen; Bluman, George; Wolf, Thomas 16 2008 Nonlocally related PDE systems for one-dimensional nonlinear elastodynamics. Zbl 1155.74009 Bluman, G.; Cheviakov, A. F.; Ganghoffer, J.-F. 10 2008 Solution and asymptotic/blow-up behaviour of a class of nonlinear dissipative systems. Zbl 1131.34030 Bluman, George; Cheviakov, Alexei F.; Senthilvelan, M. 6 2008 Nonlocal extensions of similarity methods. Zbl 1362.76045 Bluman, George 2 2008 Nonlocally related systems, linearization and nonlocal symmetries for the nonlinear wave equation. Zbl 1133.35069 Bluman, George; Cheviakov, Alexei F. 30 2007 Framework for nonlocally related partial differential equation systems and nonlocal symmetries: extension, simplification, and examples. Zbl 1112.35010 Bluman, George; Cheviakov, Alexei F.; Ivanova, Nataliya M. 40 2006 New conservation laws obtained directly from symmetry action on a known conservation law. Zbl 1129.35067 Bluman, George; Temuerchaolu; Anco, Stephen C. 34 2006 Framework for potential systems and nonlocal symmetries: algorithmic approach. Zbl 1111.35002 Bluman, George; Cheviakov, Alexei F. 38 2005 Local and nonlocal symmetries for nonlinear telegraph equation. Zbl 1076.35077 Bluman, G. W.; Temuerchaolu; Sahadevan, R. 26 2005 Conservation laws for nonlinear telegraph equations. Zbl 1077.35087 Bluman, G. W.; Temuerchaolu 23 2005 Nonclassical potential solutions of partial differential equations. Zbl 1084.35005 Bluman, George W.; Yan, Zhenya 19 2005 Comparing symmetries and conservation laws of nonlinear telegraph equations. Zbl 1110.35045 Bluman, G. W.; Temuerchaolu 14 2005 Connections between symmetries and conservation laws. Zbl 1092.70016 Bluman, George 13 2005 Nonlocal transformations of Kolmogorov equations into the backward heat equation. Zbl 1073.35094 Bluman, George; Shtelen, Vladimir 9 2004 Symmetry and integration methods for differential equations. Zbl 1013.34004 Bluman, George W.; Anco, Stephen C. 394 2002 Direct construction method for conservation laws of partial differential equations. I: Examples of conservation law classifications. Zbl 1034.35070 Anco, Stephen C.; Bluman, George 189 2002 Direct construction method for conservation laws of partial differential equations. II: General treatment. Zbl 1034.35071 Anco, Stephen C.; Bluman, George 179 2002 New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive Boussinesq equations. Zbl 1196.68338 Yan, Zhenya; Bluman, George 23 2002 Integrating factors and first integrals for ordinary differential equations. Zbl 0922.34006 Anco, Stephen C.; Bluman, George 27 1998 Direct construction of conservation laws from field equations. Zbl 0948.58015 Anco, Stephen C.; Bluman, George 124 1997 Nonlocal symmetries and nonlocal conservation laws of Maxwell’s equations. Zbl 0887.35146 Anco, Stephen C.; Bluman, George 22 1997 Derivation of conservation laws from nonlocal symmetries of differential equations. Zbl 0882.35007 Anco, Stephen C.; Bluman, George 25 1996 New classes of Schrödinger equations equivalent to the free particle equation through non-local transformations. Zbl 0902.34071 Bluman, George; Shtelen, Vladimir 10 1996 Developments in similarity methods related to pioneering work of Julian Cole. Zbl 0914.76003 Bluman, George W.; Shtelen, Vladimir 2 1996 The use of factors to discover potential systems or linearizations. Zbl 0841.35005 Bluman, George; Doran-Wu, Patrick 20 1995 Use and construction of potential symmetries. Zbl 0792.35008 Bluman, G. 19 1993 Potential symmetries and linearization. Zbl 0793.35089 Bluman, G. W. 10 1993 Potential symmetries and equivalent conservation laws. Zbl 0821.35006 Bluman, George 7 1993 An overview of potential symmetries. Zbl 0803.58049 Bluman, George 3 1993 Symmetry-based algorithms to relate partial differential equations. I: Local symmetries. Zbl 0718.35003 Bluman, G. W.; Kumei, S. 210 1990 Symmetry-based algorithms to relate partial differential equations. II: Linearization by nonlocal symmetries. Zbl 0718.35004 Bluman, G. W.; Kumei, S. 178 1990 Simplifying the form of Lie groups admitted by a given differential equation. Zbl 0696.35005 Bluman, George 28 1990 Invariant solutions for ordinary differential equations. Zbl 0714.34008 Bluman, George 3 1990 A reduction algorithm for an ordinary differential equation admitting a solvable Lie group. Zbl 0714.34007 Bluman, George 2 1990 Potential symmetries. Zbl 0791.58114 Bluman, George 1 1990 Symmetries and differential equations. Zbl 0698.35001 Bluman, George W.; Kumei, Sukeyuki 962 1989 Use of group analysis in solving overdetermined systems of ordinary differential equations. Zbl 0683.34001 Bluman, George W.; Kumei, Sukeyuki 3 1989 Sequences of related linear PDEs. Zbl 0694.35029 Bluman, George W.; Reid, Gregory J. 3 1989 New classes of symmetries for partial differential equations. Zbl 0669.58037 Bluman, George W.; Reid, Gregory J.; Kumei, Sukeyuki 102 1988 New symmetries for ordinary differential equations. Zbl 0673.58041 Bluman, George W.; Reid, Gregory J. 15 1988 Erratum: New classes of symmetries for partial differential equations. Zbl 0684.58046 Bluman, G. W.; Reid, G. J.; Kumei, Sukeyuki 9 1988 Exact solutions for wave equations of two-layered media with smooth transition. Zbl 0644.73035 Bluman, George; Kumei, Sukeyuki 7 1988 On invariance properties of the wave equation. Zbl 0662.35065 Bluman, George; Kumei, Sukeyuki 41 1987 On transformations of the biharmonic equation. Zbl 0586.35038 Bluman, George W.; Gregory, R. Douglas 1 1985 On mapping linear partial differential equations to constant coefficient equations. Zbl 0544.35007 Bluman, George W. 24 1983 When nonlinear differential equations are equivalent to linear differential equations. Zbl 0506.35003 Kumei, Sukeyuki; Bluman, George W. 47 1982 On the remarkable nonlinear diffusion equation \((\partial /\partial x)[a(u+b)]_{-2}(\partial u/\partial x)]-(\partial u/partial t)=0\). Zbl 0448.35027 Bluman, George; Kumei, Sukeyuki 70 1980 On the transformation of diffusion processes into the Wiener process. Zbl 0448.60056 Bluman, George W. 33 1980 Numerical similarity solutions to Stefan problems. Zbl 0358.65077 Milinazzo, F.; Bluman, G. W. 1 1975 Similarity methods for differential equations. Zbl 0292.35001 Bluman, G. W.; Cole, J. D. 340 1974 Applications of the general similarity solution of the heat equation to boundary-value problems. Zbl 0276.35053 Bluman, George W. 11 1974 Similarity solutions of the one-dimensional Fokker-Planck equation. Zbl 0216.13003 Bluman, G. W. 4 1971 The general similarit> solution of the heat equation. Zbl 0187.03502 Bluman, George W.; Cole, Julian D. 263 1969 all cited Publications top 5 cited Publications all top 5 Cited by 2,151 Authors 70 Khalique, Chaudry Masood 69 Kara, Abdul Hamid 66 Gandarias Núñez, Maria Luz 58 Bruzón, Maria Santos 50 Tian, Shoufu 43 Bluman, George Wallace 41 Anco, Stephen C. 41 Zhang, Tiantian 37 Popovych, Roman O. 34 Mahomed, Fazal M. 33 Leach, Peter Gavin Lawrence 32 Liu, Hanze 30 Sophocleous, Christodoulos 29 Cheviakov, Alexei F. 29 Zhang, Hongqing 28 Cherniha, Roman M. 28 Wang, Gangwei 27 Qu, Changzheng 26 Freire, Igor Leite 25 Özer, Teoman 25 Paliathanasis, Andronikos 23 Gupta, Rajesh Kumar 23 Nadjafikhah, Mehdi 23 Oliveri, Francesco 22 Zaman, Fiazud Din 21 Broadbridge, Philip 21 Moitsheki, Raseelo J. 21 Xin, Xiangpeng 21 Zhang, Zhiyong 20 Bokhari, Ashfaque H. 19 Arora, Rajan 19 Bihlo, Alexander 19 Biswas, Anjan 19 Wang, Xiubin 17 Chaolu, Temuer 17 Oberlack, Martin 17 Senthilvelan, Murugaian 16 Ivanova, Nataliya M. 16 Li, Jibin 16 Recio, Elena 16 Sahadevan, Ramajayam 15 Davydovych, Vasyl V. 15 Govinder, Keshlan Sathasiva 15 Meleshko, Sergey V. 14 Goard, Joanna M. 14 Rosa, María 14 Yaşar, Emrullah 13 Adem, Abdullahi Rashid 13 Bira, Bibekananda 13 Bozhkov, Yuri Dimitrov 13 Dorodnitsyn, Vladimir A. 13 Hayat, Tasawar 13 Kumar, Mukesh 13 Kumar, Sachin 13 Lakshmanan, Muthusamy 13 Nucci, Maria Clara 13 Torrisi, Mariano 12 Huang, Dingjiang 12 Johnpillai, Andrew Gratien 12 Liu, Xiqiang 12 Lou, Senyue 12 Momoniat, Ebrahim 12 Morando, Paola 12 Sekhar, T. Raja 12 Tracinà, Rita 12 Zhang, Yufeng 11 Băleanu, Dumitru I. 11 Chen, Yong 11 Inc, Mustafa 11 Kumar, Raj 11 Liu, Jiangen 11 Muriel, Concepción 11 Mustafa, Muhammad Tahir 11 Naeem, Imran 11 Vaneeva, Olena O. 11 Wazwaz, Abdul-Majid Abdul-Rahman 11 Winternitz, Pavel 11 Yan, Zhenya 10 Bhutani, Om Prakash 10 Clarkson, Peter A. 10 Currò, Carmela 10 Hashemi, Mir Sajjad 10 Muatjetjeja, Ben 10 Ruiz, Adrián Tonatiuh 10 Sinkala, Winter 10 Zhao, Zhonglong 10 Zou, Li 9 Abd-el-Malek, Mina B. 9 Al-Dweik, Ahmad Y. 9 Chen, Yufu 9 Cicogna, Giampaolo 9 Craddock, Mark 9 Estévez, Pilar G. 9 Gaeta, Giuseppe 9 Gao, Ben 9 Mayil Vaganan, B. 9 Naz, Rehana 9 Sharma, Vishnu Dutt 9 Zhdanov, Renat Z. 8 Arrigo, Daniel J. ...and 2,051 more Authors all top 5 Cited in 321 Serials 149 Applied Mathematics and Computation 138 Journal of Mathematical Analysis and Applications 127 Communications in Nonlinear Science and Numerical Simulation 109 Journal of Mathematical Physics 81 Nonlinear Dynamics 78 Chaos, Solitons and Fractals 62 Journal of Nonlinear Mathematical Physics 51 Computers & Mathematics with Applications 45 Applied Mathematics Letters 43 Physics Letters. A 43 Nonlinear Analysis. Real World Applications 41 International Journal of Engineering Science 40 International Journal of Geometric Methods in Modern Physics 35 Abstract and Applied Analysis 34 International Journal of Theoretical Physics 34 Journal of Geometry and Physics 33 Acta Applicandae Mathematicae 33 Advances in Mathematical Physics 31 Journal of Engineering Mathematics 30 Journal of Applied Mathematics 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Mathematical Methods in the Applied Sciences 28 Mathematical and Computer Modelling 28 Communications in Theoretical Physics 26 Physica D 25 Journal of Computational and Applied Mathematics 25 Mathematical Problems in Engineering 25 International Journal of Applied and Computational Mathematics 24 Computer Physics Communications 23 Reports on Mathematical Physics 23 Advances in Difference Equations 21 ZAMP. Zeitschrift für angewandte Mathematik und Physik 21 Applied Mathematics and Mechanics. (English Edition) 20 Journal of Differential Equations 20 Studies in Applied Mathematics 20 Symmetry 19 Quaestiones Mathematicae 19 European Journal of Applied Mathematics 17 International Journal of Nonlinear Sciences and Numerical Simulation 16 Theoretical and Mathematical Physics 16 Waves in Random and Complex Media 14 Acta Mechanica 14 Journal of Physics A: Mathematical and Theoretical 13 Discrete and Continuous Dynamical Systems. Series S 12 International Journal of Computer Mathematics 11 Journal of Fluid Mechanics 11 Physica A 11 Journal of Symbolic Computation 11 Computational and Applied Mathematics 11 Journal of Mathematical Chemistry 11 Journal of Applied Analysis and Computation 10 International Journal of Modern Physics B 10 General Relativity and Gravitation 10 Mathematics and Computers in Simulation 10 Applied Mathematical Modelling 10 Computational Methods for Differential Equations 8 Modern Physics Letters A 8 Ukrainian Mathematical Journal 8 Wave Motion 8 Applied Mathematics. Series B (English Edition) 8 Journal of Mathematical Sciences (New York) 8 Discrete and Continuous Dynamical Systems 8 Qualitative Theory of Dynamical Systems 8 Nonlinear Analysis. Theory, Methods & Applications 7 Meccanica 7 Ricerche di Matematica 7 Fractals 7 Boundary Value Problems 7 Applied Mathematics and Nonlinear Sciences 6 Journal of Computational Physics 6 Journal of Statistical Physics 6 Electronic Journal of Differential Equations (EJDE) 6 Nonlinear Analysis. Modelling and Control 5 Letters in Mathematical Physics 5 Nuclear Physics. B 5 Transport Theory and Statistical Physics 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Applied Numerical Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Annals of Physics 5 Journal of Elasticity 5 Lobachevskii Journal of Mathematics 5 Analysis and Mathematical Physics 5 Journal of Applied Nonlinear Dynamics 5 East Asian Journal on Applied Mathematics 4 Archive for Rational Mechanics and Analysis 4 Astrophysics and Space Science 4 Computers and Fluids 4 Indian Journal of Pure & Applied Mathematics 4 Physics of Fluids 4 Automatica 4 Communications in Partial Differential Equations 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Regular and Chaotic Dynamics 4 The ANZIAM Journal 4 Chinese Journal of Physics (Taipei) 4 Asian-European Journal of Mathematics 4 International Journal of Biomathematics 4 Arabian Journal of Mathematics 4 Journal of Mathematics ...and 221 more Serials all top 5 Cited in 56 Fields 1,786 Partial differential equations (35-XX) 472 Fluid mechanics (76-XX) 419 Dynamical systems and ergodic theory (37-XX) 279 Ordinary differential equations (34-XX) 261 Global analysis, analysis on manifolds (58-XX) 155 Mechanics of particles and systems (70-XX) 121 Topological groups, Lie groups (22-XX) 118 Numerical analysis (65-XX) 112 Mechanics of deformable solids (74-XX) 92 Relativity and gravitational theory (83-XX) 68 Computer science (68-XX) 65 Classical thermodynamics, heat transfer (80-XX) 65 Biology and other natural sciences (92-XX) 58 Statistical mechanics, structure of matter (82-XX) 57 Nonassociative rings and algebras (17-XX) 55 Quantum theory (81-XX) 51 Differential geometry (53-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Optics, electromagnetic theory (78-XX) 42 Probability theory and stochastic processes (60-XX) 34 Real functions (26-XX) 27 Geophysics (86-XX) 19 Difference and functional equations (39-XX) 16 Special functions (33-XX) 15 Integral equations (45-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Astronomy and astrophysics (85-XX) 12 Systems theory; control (93-XX) 10 Operator theory (47-XX) 9 Manifolds and cell complexes (57-XX) 8 Several complex variables and analytic spaces (32-XX) 5 General and overarching topics; collections (00-XX) 5 Field theory and polynomials (12-XX) 5 Algebraic geometry (14-XX) 5 General topology (54-XX) 5 Statistics (62-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Group theory and generalizations (20-XX) 4 Functions of a complex variable (30-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Potential theory (31-XX) 3 Operations research, mathematical programming (90-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 \(K\)-theory (19-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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