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1

Nonlocal symmetries and nonlocal conservation laws of Maxwell’s equations

Anco, Stephen C., Bluman, George

Journal:

Journal of Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 505 KB

english, 1997

2

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

ANCO, STEPHEN C., BLUMAN, GEORGE

Journal:

European Journal of Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 469 KB

english, 2002

3

Direct Construction of Conservation Laws from Field Equations

Anco, Stephen C., Bluman, George

Journal:

Physical Review Letters

Year:

1997

Language:

english

File:

PDF, 123 KB

english, 1997

4

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

ANCO, STEPHEN C., BLUMAN, GEORGE

Journal:

European Journal of Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 479 KB

english, 2002

5

Integrating factors and first integrals for ordinary differential equations

ANCO, STEPHEN C., BLUMAN, GEORGE

Journal:

European Journal of Applied Mathematics

Year:

1998

Language:

english

File:

PDF, 268 KB

english, 1998

6

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

George Bluman, Temuerchaolu, Stephen C. Anco

Journal:

Journal of Mathematical Analysis and Applications

Year:

2006

Language:

english

File:

PDF, 174 KB

english, 2006

7

When Nonlinear Differential Equations are Equivalent to Linear Differential Equations

Kumei, Sukeyuki, Bluman, George W.

Journal:

SIAM Journal on Applied Mathematics

Year:

1982

Language:

english

File:

PDF, 1.61 MB

english, 1982

8

Simplifying the form of Lie groups admitted by a given differential equation

Journal:

Journal of Mathematical Analysis and Applications

Year:

1990

Language:

english

File:

PDF, 440 KB

english, 1990

9

Invariant Solutions for Ordinary Differential Equations

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 709 KB

english, 1990

10

Exact solutions for wave equations of two-layered media with smooth transition

Bluman, George, Kumei, Sukeyuki

Journal:

Journal of Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 819 KB

english, 1988

11

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

George Bluman, Alexei F. Cheviakov

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 224 KB

english, 2007

12

Invertible Mappings of Nonlinear PDEs to Linear PDEs through Admitted Conservation Laws

Stephen Anco, George Bluman, Thomas Wolf

Journal:

Acta Applicandae Mathematicae

Year:

2008

Language:

english

File:

PDF, 391 KB

english, 2008

13

New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive Boussinesq equations

Zhenya Yan, George Bluman

Journal:

Computer Physics Communications

Year:

2002

Language:

english

File:

PDF, 70 KB

english, 2002

14

A Reduction Algorithm for an Ordinary Differential Equation Admitting a Solvable Lie Group

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.03 MB

english, 1990

15

On Mapping Linear Partial Differential Equations to Constant Coefficient Equations

Bluman, George W.

Journal:

SIAM Journal on Applied Mathematics

Year:

1983

Language:

english

File:

PDF, 958 KB

english, 1983

16

New classes of symmetries for partial differential equations

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

Journal:

Journal of Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 763 KB

english, 1988

17

Nonclassical analysis of the nonlinear Kompaneets equation

Bluman, George W., Tian, Shou-fu, Yang, Zhengzheng

Journal:

Journal of Engineering Mathematics

Year:

2014

Language:

english

File:

PDF, 417 KB

english, 2014

18

Symmetry reductions, exact solutions, and conservation laws of the generalized Zakharov equations

Buhe, Eerdun, Bluman, George W.

Journal:

Journal of Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 2.37 MB

english, 2015

19

Applications of the general similarity solution of the heat equation to boundary-value problems

Bluman, George W.

Journal:

Quarterly of Applied Mathematics

Year:

1974

Language:

english

File:

PDF, 801 KB

english, 1974

20

Use of group analysis in solving overdetermined systems of ordinary differential equations

George W Bluman, Sukeyuki Kumei

Journal:

Journal of Mathematical Analysis and Applications

Year:

1989

Language:

english

File:

PDF, 369 KB

english, 1989

21

Sequences of related linear PDEs

George W. Bluman, Gregory J. Reid

Journal:

Journal of Mathematical Analysis and Applications

Year:

1989

Language:

english

File:

PDF, 782 KB

english, 1989

22

Techniques for obtaining analytical solutions for Rall's model neuron

George W. Bluman, Henry C. Tuckwell

Journal:

Journal of Neuroscience Methods

Year:

1987

Language:

english

File:

PDF, 532 KB

english, 1987

23

Nonlocal transformations of Kolmogorov equations into the backward heat equation

George Bluman, Vladimir Shtelen

Journal:

Journal of Mathematical Analysis and Applications

Year:

2004

Language:

english

File:

PDF, 241 KB

english, 2004

24

Solution and asymptotic/blow-up behaviour of a class of nonlinear dissipative systems

George Bluman, Alexei F. Cheviakov, M. Senthilvelan

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 224 KB

english, 2008

25

New solutions for ordinary differential equations

George Bluman, Raouf Dridi

Journal:

Journal of Symbolic Computation

Year:

2012

Language:

english

File:

PDF, 276 KB

english, 2012

26

On the Transformation of Diffusion Processes into the Wiener Process

Bluman, George W.

Journal:

SIAM Journal on Applied Mathematics

Year:

1980

Language:

english

File:

PDF, 817 KB

english, 1980

27

On invariance properties of the wave equation

Bluman, George, Kumei, Sukeyuki

Journal:

Journal of Mathematical Physics

Year:

1987

Language:

english

File:

PDF, 964 KB

english, 1987

28

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

Journal:

Journal of Mathematical Physics

Year:

1980

Language:

english

File:

PDF, 644 KB

english, 1980

29

Nonlocal Extensions of Similarity Methods

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 383 KB

english, 2008

30

A symmetry-based method for constructing nonlocally related partial differential equation systems

Bluman, George W., Yang, Zhengzheng

Journal:

Journal of Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 776 KB

english, 2013

31

[Applied Mathematical Sciences] Applications of Symmetry Methods to Partial Differential Equations Volume 168 ||

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

Year:

2010

Language:

english

File:

PDF, 1.89 MB

english, 2010

32

On the Transformation of Diffusion Processes into the Wiener Process

George W. Bluman

Journal:

SIAM Journal on Applied Mathematics

Year:

1980

Language:

english

File:

PDF, 757 KB

english, 1980

33

When Nonlinear Differential Equations are Equivalent to Linear Differential Equations

Sukeyuki Kumei and George W. Bluman

Journal:

SIAM Journal on Applied Mathematics

Year:

1982

Language:

english

File:

PDF, 1.33 MB

english, 1982

34

On Mapping Linear Partial Differential Equations to Constant Coefficient Equations

George W. Bluman

Journal:

SIAM Journal on Applied Mathematics

Year:

1983

Language:

english

File:

PDF, 919 KB

english, 1983

35

Invariant Solutions for Ordinary Differential Equations

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 569 KB

english, 1990

36

A Reduction Algorithm for an Ordinary Differential Equation Admitting a Solvable Lie Group

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 808 KB

english, 1990

37

Multidimensional partial differential equation systems: Nonlocal symmetries, nonlocal conservation laws, exact solutions

Cheviakov, Alexei F., Bluman, George W.

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 482 KB

english, 2010

38

[Problem Books in Mathematics] Problem Book for First Year Calculus ||

Bluman, George W.

Year:

1984

Language:

english

File:

PDF, 39.63 MB

english, 1984

39

New classes of Schrödinger equations equivalent to the free particle equation through non-local transformations

Bluman, George, Shtelen, Vladimir

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1996

Language:

english

File:

PDF, 170 KB

english, 1996

40

Composition of Lie Group Elements from Basis Lie Algebra Elements

Bluman, George W., Mrani-Zentar, Omar, Finlay, Deshin

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 466 KB

english, 2018

41

The use of factors to discover potential systems or linearizations

George Bluman, Patrick Doran-Wu

Journal:

Acta Applicandae Mathematicae

Year:

1995

Language:

english

File:

PDF, 927 KB

english, 1995

42

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

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

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 570 KB

english, 2006

43

Framework for potential systems and nonlocal symmetries: Algorithmic approach

Bluman, George, Cheviakov, Alexei F.

Journal:

Journal of Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 738 KB

english, 2005

44

Conservative parameterization schemes

Bihlo, Alexander, Bluman, George

Journal:

Journal of Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 556 KB

english, 2013

45

Multidimensional partial differential equation systems: Generating new systems via conservation laws, potentials, gauges, subsystems

Cheviakov, Alexei F., Bluman, George W.

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 415 KB

english, 2010

46

Group Invariance in Engineering Boundary Value Problems.by R. Seshadri; T. Y. Na

Review by: George W. Bluman

Journal:

Year:

1986

Language:

english

File:

PDF, 276 KB

english, 1986

47

Nonlinear Boundary Value Problems in Science and Engineering.by C. Rogers; W. F. Ames

Review by: George Bluman

Journal:

Year:

1991

Language:

english

File:

PDF, 440 KB

english, 1991

48

Differential Equations and Group Methods.by James M. Hill

Review by: George Bluman

Journal:

Year:

1994

Language:

english

File:

PDF, 82 KB

english, 1994

49

On locally and nonlocally related potential systems

Cheviakov, Alexei F., Bluman, George W.

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 420 KB

english, 2010

50

Nonlinear Boundary Value Problems in Science and Engineering (C. Rogers and W. F. Ames)

Journal:

Year:

1991

Language:

english

File:

PDF, 505 KB

english, 1991