-
1
-
-
0040651088
-
Geometric approach to invariance groups and solution of partial differential systems
-
Paper I
-
Harrison B.K., Estabrook F.B., Geometric approach to invariance groups and solution of partial differential systems, J. Math. Phys., 1971, V.12, 653-666 (Paper I).
-
(1971)
J. Math. Phys
, vol.12
, pp. 653-666
-
-
Harrison, B.K.1
Estabrook, F.B.2
-
2
-
-
77954605235
-
Differential form symmetry analysis of two equations cited by Fushchych
-
Proceedings of Second International Conference, Editors M.I. Shkil, A.G. Nikitin and V.M. Boyko, Paper II
-
Harrison B.K., Differential form symmetry analysis of two equations cited by Fushchych, in Proceedings of Second International Conference "Symmetry in Nonlinear Mathematical Physics" (July 7-13, 1997, Kyiv), Editors M.I. Shkil, A.G. Nikitin and V.M. Boyko, V.1, 21-33 (Paper II).
-
(1997)
Symmetry In Nonlinear Mathematical Physics
, vol.1
, pp. 21-33
-
-
Harrison, B.K.1
-
4
-
-
0343674278
-
-
Ph.D. Thesis, Twente University of Tech- nology, Enschede, The Netherlands
-
Gragert P.K.H., Symbolic computations in prolongation theory, Ph.D. Thesis, Twente University of Tech- nology, Enschede, The Netherlands, 1981.
-
(1981)
Symbolic Computations In Prolongation Theory
-
-
Gragert, P.K.H.1
-
5
-
-
84915702924
-
Symbolic integration of overdetermined systems of partial differential equations
-
Twente University of Technology, Enschede, The Netherlands
-
Kersten P.H.M., Gragert P.K.H., Symbolic integration of overdetermined systems of partial differential equations, Memorandum 430, Twente University of Technology, Enschede, The Netherlands, 1983.
-
(1983)
Memorandum
, vol.430
-
-
Kersten, P.H.M.1
Gragert, P.K.H.2
-
6
-
-
51249179785
-
Symbolic computations in applied differential geometry
-
Gragert P.K.H., Kersten P.H.M., Martini A., Symbolic computations in applied differential geometry, Acta Appl. Math., 1983, V.1, 43-77.
-
(1983)
Acta Appl. Math
, vol.1
, pp. 43-77
-
-
Gragert, P.K.H.1
Kersten, P.H.M.2
Martini, A.3
-
7
-
-
0002099828
-
-
Ph.D. Thesis, Twente University of Technology, Enschede, The Netherlands
-
Kersten P.H.M., Infinitesimal symmetries: a computational approach, Ph.D. Thesis, Twente University of Technology, Enschede, The Netherlands, 1985.
-
(1985)
Infinitesimal Symmetries: A Computational Approach
-
-
Kersten, P.H.M.1
-
8
-
-
0343674281
-
Software to compute infinitesimal symmetries of exterior differential systems, with appli- cations
-
Kersten P.H.M., Software to compute infinitesimal symmetries of exterior differential systems, with appli- cations, Acta Appl. Math., 1989, V.16, 207-229.
-
(1989)
Acta Appl. Math
, vol.16
, pp. 207-229
-
-
Kersten, P.H.M.1
-
9
-
-
0031127350
-
Differential geometric computations and computer algebra
-
Gragert P.K.H., Kersten P.H.M., Differential geometric computations and computer algebra, Math. Comp. Modelling, 1997, V.25, 11-24.
-
(1997)
Math. Comp. Modelling
, vol.25
, pp. 11-24
-
-
Gragert, P.K.H.1
Kersten, P.H.M.2
-
10
-
-
36149040722
-
The Lie algebra of infinitesimal symmetries of nonlinear diffusion equation
-
Kersten P.H.M., Gragert P.K.H., The Lie algebra of infinitesimal symmetries of nonlinear diffusion equation, J. Phys. A: Math. Gen., 1983, V.16, L685-L688.
-
(1983)
J. Phys. A: Math. Gen
, vol.16
-
-
Kersten, P.H.M.1
Gragert, P.K.H.2
-
11
-
-
36549100925
-
Lie-B̈acklund transformations for the massive Thirring model
-
Kersten P.H.M., Martini R., Lie-B̈acklund transformations for the massive Thirring model, J. Math. Phys., 1985, V.26, 822-825.
-
(1985)
J. Math. Phys
, vol.26
, pp. 822-825
-
-
Kersten, P.H.M.1
Martini, R.2
-
12
-
-
36549102574
-
Creating and annihilating Lie-B̈acklund transformations of the Federbush model
-
Kersten P.H.M., Creating and annihilating Lie-B̈acklund transformations of the Federbush model, J. Math. Phys., 1986, V.27, 1139-1144.
-
(1986)
J. Math. Phys
, vol.27
, pp. 1139-1144
-
-
Kersten, P.H.M.1
-
13
-
-
0002390085
-
-
Ph.D. Thesis, University of Sydney, Australia
-
Langton B.T., Lie symmetry techniques for exact interior solutions of the Einstein field equations for axially symmetric, stationary, rigidly rotating perfect fluids, Ph.D. Thesis, University of Sydney, Australia, 1997.
-
(1997)
Lie Symmetry Techniques For Exact Interior Solutions of The Einstein Field Equations For Axially Symmetric, Stationary, Rigidly Rotating Perfect Fluids
-
-
Langton, B.T.1
-
14
-
-
38249011665
-
Isogroups of differential-equations using algebraic computing
-
Carminati J
-
Carminati J., Devitt J.S., Fee G.J., Isogroups of differential-equations using algebraic computing, J. Symbolic Comp., 1992, V.14, 103-120.
-
(1992)
J. Symbolic Comp
, vol.14
, pp. 103-120
-
-
Carminati, J.1
Devitt, J.S.2
Fee, G.J.3
-
16
-
-
0003471368
-
-
New York, Springer
-
Char B.W., Geddes K.O., Gonnet G.H., Leong B.L., Monagan M.B., Watt S.M., Maple V library reference manual, New York, Springer, 1991, 540-560.
-
(1991)
Maple V Library Reference Manual
, pp. 540-560
-
-
Char, B.W.1
Geddes, K.O.2
Gonnet, G.H.3
Leong, B.L.4
Monagan, M.B.5
Watt, S.M.6
-
17
-
-
85043082786
-
-
M.S. Thesis, Provo (Utah, USA), Brigham Young University
-
Neilsen D.W., A search for an interior solution in general relativity using Lie-Backlund symmetries, M.S. Thesis, Provo (Utah, USA), Brigham Young University, 1995.
-
(1995)
A Search For An Interior Solution In General Relativity Using Lie-Backlund Symmetries
-
-
Neilsen, D.W.1
-
18
-
-
0031127289
-
Review of symbolic software for Lie symmetry analysis
-
Hereman W., Review of symbolic software for Lie symmetry analysis, Math. Comp. Modelling, 1997, V.25, 115-132.
-
(1997)
Math. Comp. Modelling
, vol.25
, pp. 115-132
-
-
Hereman, W.1
-
19
-
-
36749111328
-
Symmetries and vacuum Maxwell's equations
-
Steeb W.H., Symmetries and vacuum Maxwell's equations, J. Math. Phys., 1980, V.21, 1656-1680.
-
(1980)
J. Math. Phys
, vol.21
, pp. 1656-1680
-
-
Steeb, W.H.1
-
20
-
-
36749115447
-
Symmetries and the Dirac equation
-
Steeb W.H., Erig W., Strampp W., Symmetries and the Dirac equation, J. Math. Phys., 1981, V.22, 970-973.
-
(1981)
J. Math. Phys
, vol.22
, pp. 970-973
-
-
Steeb, W.H.1
Erig, W.2
Strampp, W.3
-
21
-
-
0040586776
-
Duff-Inami-Pope-Sezgin-Stelle bosonic membrane equations as an involutory system
-
Satir A., Duff-Inami-Pope-Sezgin-Stelle bosonic membrane equations as an involutory system, Progr. Theoret. Phys., 1998, V.100, 1273-1280.
-
(1998)
Progr. Theoret. Phys
, vol.100
, pp. 1273-1280
-
-
Satir, A.1
-
22
-
-
0000478462
-
The general similarity solution of the heat equation
-
Bluman G.W., Cole J.D., The general similarity solution of the heat equation, J. Math. Mech., 1969, V.18, 1025-1042.
-
(1969)
J. Math. Mech
, vol.18
, pp. 1025-1042
-
-
Bluman, G.W.1
Cole, J.D.2
-
23
-
-
33645690633
-
Lie symmetries of a coupled nonlinear Burgers heat-equation system
-
Webb G.M., Lie symmetries of a coupled nonlinear Burgers heat-equation system, J. Phys. A: Math. Gen., 1990, V.23, 3885-3894.
-
(1990)
J. Phys. A: Math. Gen
, vol.23
, pp. 3885-3894
-
-
Webb, G.M.1
-
24
-
-
0004067391
-
Differential equations
-
Cambridge, Cambridge University Press
-
Stephani H., Differential equations. Their solution using symmetries, Cambridge, Cambridge University Press, 1989, 28.
-
(1989)
Their Solution Using Symmetries
, pp. 28
-
-
Stephani, H.1
-
25
-
-
34250091366
-
Isogroups of differential ideals of vector-valued differential forms: Appli- cation to partial differential equations
-
Papachristou C.J., Harrison B.K., Isogroups of differential ideals of vector-valued differential forms: appli- cation to partial differential equations, Acta Appl. Math., 1988, V.11, 155-175.
-
(1988)
Acta Appl. Math
, vol.11
, pp. 155-175
-
-
Papachristou, C.J.1
Harrison, B.K.2
-
26
-
-
84889235216
-
-
in Proceedings of the XV International Colloquium in Group Theoretical Methods in Physics, Editor R. Gilmore, Singapore, World Scientific
-
Papachristou C.J., Harrison B.K., Symmetry groups of partial differential equations associated with vector- valued differential forms, in Proceedings of the XV International Colloquium in Group Theoretical Methods in Physics, Editor R. Gilmore, Singapore, World Scientific, 1987, 440-445.
-
(1987)
Symmetry Groups of Partial Differential Equations Associated With Vector- Valued Differential Forms
, pp. 440-445
-
-
Papachristou, C.J.1
Harrison, B.K.2
-
27
-
-
36549103932
-
Some aspects of the isogroup of the self-dual Yang-Mills system
-
Papachristou C.J., Harrison B.K., Some aspects of the isogroup of the self-dual Yang-Mills system, J. Math. Phys., 1987, V.28, 1261-1264.
-
(1987)
J. Math. Phys
, vol.28
, pp. 1261-1264
-
-
Papachristou, C.J.1
Harrison, B.K.2
-
28
-
-
36549099417
-
Nonlocal symmetries and Backlund transformations for the self-dual Yang-Mills system
-
Papachristou C.J., Harrison B.K., Nonlocal symmetries and Backlund transformations for the self-dual Yang-Mills system, J. Math. Phys., 1988, V.29, 238-243.
-
(1988)
J. Math. Phys
, vol.29
, pp. 238-243
-
-
Papachristou, C.J.1
Harrison, B.K.2
-
29
-
-
84889237073
-
A three-parameter group similarity solution for a one dimensional nonlinear diffusion equation
-
Waller S.M., A three-parameter group similarity solution for a one dimensional nonlinear diffusion equation, Phys. Scripta, 1990, V.41, 193-196.
-
(1990)
Phys. Scripta
, vol.41
, pp. 193-196
-
-
Waller, S.M.1
-
30
-
-
36149036850
-
Isogroup and general similarity solution of a nonlinear diffusion equation
-
Waller S.M., Isogroup and general similarity solution of a nonlinear diffusion equation, J. Phys. A: Math. Gen., 1990, V.23, 1035-1040.
-
(1990)
J. Phys. A: Math. Gen
, vol.23
, pp. 1035-1040
-
-
Waller, S.M.1
-
31
-
-
0346768506
-
Invariant group similarity solution for a class of reaction-diffusion-equations
-
Waller S.M., Invariant group similarity solution for a class of reaction-diffusion-equations, Phys. Scripta, 1990, V.42, 385-388.
-
(1990)
Phys. Scripta
, vol.42
, pp. 385-388
-
-
Waller, S.M.1
-
32
-
-
0003450853
-
Isovector methods for equations of balance
-
With programs for computer assistance in operator calculations and an exposition of practical topics of the exterior calculus, Monographs and Textbooks on Mechanics of Solids and Fluids, Martinus Nijhoff Publishers
-
Edelen D.G.B., Isovector methods for equations of balance. With programs for computer assistance in operator calculations and an exposition of practical topics of the exterior calculus, Monographs and Textbooks on Mechanics of Solids and Fluids, Mechanics: Analysis, The Hague, Martinus Nijhoff Publishers, 1980.
-
(1980)
Mechanics: Analysis, the Hague
-
-
Edelen, D.G.B.1
-
34
-
-
0019930874
-
Isovector fields for problems in the mechanics of solids and fluids
-
Edelen D.G.B., Isovector fields for problems in the mechanics of solids and fluids, Internat. J. Engrg. Sci., 1982, V.20, 803-815.
-
(1982)
Internat. J. Engrg. Sci
, vol.20
, pp. 803-815
-
-
Edelen, D.G.B.1
-
35
-
-
0023863665
-
On solving problems in the mechanics of solids and fluids by a generalized method of characteristics
-
Edelen D.G.B., On solving problems in the mechanics of solids and fluids by a generalized method of characteristics, Internat. J. Engrg. Sci., 1988, V.26, 361-372.
-
(1988)
Internat. J. Engrg. Sci
, vol.26
, pp. 361-372
-
-
Edelen, D.G.B.1
-
36
-
-
34249971308
-
Order-independent method of characteristics
-
Edelen D.G.B., Order-independent method of characteristics, Internat. J. Theoret. Phys., 1989, V.28, 303-333.
-
(1989)
Internat. J. Theoret. Phys
, vol.28
, pp. 303-333
-
-
Edelen, D.G.B.1
-
37
-
-
0020588858
-
Implicit similarities and inverse isovector methods
-
Edelen D.G.B., Implicit similarities and inverse isovector methods, Arch. Rat. Mech. and Anal., 1983, V.82, 181-189.
-
(1983)
Arch. Rat. Mech. and Anal
, vol.82
, pp. 181-189
-
-
Edelen, D.G.B.1
-
38
-
-
84971150412
-
Symmetries of the triple degenerate DNLS equations for weakly nonlinear dispersive MHD waves
-
Webb G.M., Brio M., Zank G.P., Symmetries of the triple degenerate DNLS equations for weakly nonlinear dispersive MHD waves, J. Plasma Phys., 1995, V.54, 201-244.
-
(1995)
J. Plasma Phys
, vol.54
, pp. 201-244
-
-
Webb, G.M.1
Brio, M.2
Zank, G.P.3
-
39
-
-
0001653124
-
Similarity considerations and conservation laws for magneto-static atmospheres
-
Webb G.M., Similarity considerations and conservation laws for magneto-static atmospheres, Solar Phys., 1986, V.106, 287-313.
-
(1986)
Solar Phys
, vol.106
, pp. 287-313
-
-
Webb, G.M.1
-
40
-
-
0030142528
-
Symmetry groups of boundary layer equations of a class of non-Newtonian fluids, Internat
-
Pakdemirli M., Yürüsoy M., Küçükbursa A., Symmetry groups of boundary layer equations of a class of non-Newtonian fluids, Internat. J. Non-Linear Mech., 1996, V.31, 267-276.
-
(1996)
J. Non-Linear Mech
, vol.31
, pp. 267-276
-
-
Pakdemirli, M.1
Yürüsoy, M.2
Küçükbursa, A.3
-
41
-
-
0032762902
-
Equivalence transformations applied to exterior calculus approach for finding symmetries: An example of non-Newtonian fluid flow, Internat
-
Pakdemirli M., Yürüsoy M., Equivalence transformations applied to exterior calculus approach for finding symmetries: an example of non-Newtonian fluid flow, Internat. J. Engrg. Sci., 1999, V.37, 25-32.
-
(1999)
J. Engrg. Sci
, vol.37
, pp. 25-32
-
-
Pakdemirli, M.1
Yürüsoy, M.2
-
42
-
-
0039585085
-
Isovectors and similarity solutions for nonlinear reaction-diffusion equations
-
Şuhubi E.S., Chowdhury K.L., Isovectors and similarity solutions for nonlinear reaction-diffusion equations, Internat. J. Engrg. Sci., 1988, V.26, 1027-1041.
-
(1988)
Internat. J. Engrg. Sci
, vol.26
, pp. 1027-1041
-
-
Şuhubi, E.S.1
Chowdhury, K.L.2
-
43
-
-
0025867257
-
Group properties and similarity solutions for a quasi-linear wave-equation in the plane, Internat
-
Şuhubi E.S., Bakkaloǧlu A., Group properties and similarity solutions for a quasi-linear wave-equation in the plane, Internat. J. Non-Linear Mech., 1991, V.26, 567-584.
-
(1991)
J. Non-Linear Mech
, vol.26
, pp. 567-584
-
-
Şuhubi, E.S.1
Bakkaloǧlu, A.2
-
44
-
-
0025840868
-
Isovector fields and similarity solutions for general balance-equations
-
Şuhubi E.S., Isovector fields and similarity solutions for general balance-equations, Internat. J. Engrg. Sci., 1991, V.29, 133-150.
-
(1991)
Internat. J. Engrg. Sci
, vol.29
, pp. 133-150
-
-
Şuhubi, E.S.1
-
45
-
-
0026864295
-
Similarity solutions of boundary-layer equations for second-order fluids, Internat
-
Pakdemirli M., Şuhubi E.S., Similarity solutions of boundary-layer equations for second-order fluids, Internat. J. Engrg. Sci., 1992, V. 30, 611-629.
-
(1992)
J. Engrg. Sci
, vol.5
, Issue.30
, pp. 611-629
-
-
Pakdemirli, M.1
Şuhubi, E.S.2
-
46
-
-
0033327898
-
Equivalence groups for second order balance equations, Internat
-
Şuhubi E.S., Equivalence groups for second order balance equations, Internat. J. Engrg. Sci., 1999, V.37, 1901-1925.
-
(1999)
J. Engrg. Sci
, vol.37
, pp. 1901-1925
-
-
Şuhubi, E.S.1
-
47
-
-
18844465327
-
Equivalence transformations for first order balance equations, Internat
-
Ozer S., Şuhubi E.S., Equivalence transformations for first order balance equations, Internat. J. Engrg. Sci., 2004, V.42, 1305-1324.
-
(2004)
J. Engrg. Sci
, vol.42
, pp. 1305-1324
-
-
Ozer, S.1
Şuhubi, E.S.2
-
48
-
-
4344624993
-
Equivalence groups for balance equations of arbitrary order, Part I, Internat
-
Şuhubi E.S., Equivalence groups for balance equations of arbitrary order, Part I, Internat. J. Engrg. Sci., 2004, V.42, 1729-1751.
-
(2004)
J. Engrg. Sci
, vol.42
, pp. 1729-1751
-
-
Şuhubi, E.S.1
-
49
-
-
21844525786
-
Isogroups and exact-solutions for some Klein-Gordon and Liouville-type equations in n-dimensional Euclidean space
-
Bhutani O.P., Bhattacharya L., Isogroups and exact-solutions for some Klein-Gordon and Liouville-type equations in n-dimensional Euclidean space, J. Math. Phys., 1995, V.36, 3759-3770.
-
(1995)
J. Math. Phys
, vol.36
, pp. 3759-3770
-
-
Bhutani, O.P.1
Bhattacharya, L.2
-
50
-
-
0025623925
-
On the isogroups of the generalized diffusion equation, Internat
-
Bhutani O.P., Vijayakumar K., On the isogroups of the generalized diffusion equation, Internat. J. Engrg. Sci., 1990, V.28, 375-387.
-
(1990)
J. Engrg. Sci
, vol.28
, pp. 375-387
-
-
Bhutani, O.P.1
Vijayakumar, K.2
-
51
-
-
0343443025
-
On certain exact solutions of a generalized K-dV-Burger type equation via isovector method-I
-
Bhutani O.P., Singh K., On certain exact solutions of a generalized K-dV-Burger type equation via isovector method-I, Internat. J. Engrg. Sci., 2000, V.38, 1741-1753.
-
(2000)
Internat. J. Engrg. Sci
, vol.38
, pp. 1741-1753
-
-
Bhutani, O.P.1
Singh, K.2
-
52
-
-
0022875399
-
On the isovectors of a class of nonlinear diffusion-equations
-
Chowdhury K.L., On the isovectors of a class of nonlinear diffusion-equations, Internat. J. Engrg. Sci., 1986, V.24, 1597-1605.
-
(1986)
Internat. J. Engrg. Sci
, vol.24
, pp. 1597-1605
-
-
Chowdhury, K.L.1
-
53
-
-
0022467493
-
A note on the isovector of rate-type materials
-
Chowdhury K.L., A note on the isovector of rate-type materials, Internat. J. Engrg. Sci., 1986, V.24, 819-826.
-
(1986)
Internat. J. Engrg. Sci
, vol.24
, pp. 819-826
-
-
Chowdhury, K.L.1
-
54
-
-
0020506754
-
Isovector fields and self-similar solutions for power law creep
-
Delph T.J., Isovector fields and self-similar solutions for power law creep, Internat. J. Engrg. Sci., 1983, V.21, 1061-1067.
-
(1983)
Internat. J. Engrg. Sci
, vol.21
, pp. 1061-1067
-
-
Delph, T.J.1
-
55
-
-
30244475901
-
Isogroup classification of equations of meteorology, Internat
-
Vijayakumar K., Isogroup classification of equations of meteorology, Internat. J. Engrg. Sci., 1996, V.34, 1157-1164.
-
(1996)
J. Engrg. Sci
, vol.34
, pp. 1157-1164
-
-
Vijayakumar, K.1
-
56
-
-
36449004236
-
On the isovectors of the principal chiral model
-
Hu Z-J., On the isovectors of the principal chiral model, J. Math. Phys., 1991, V.32, 2540-2542.
-
(1991)
J. Math. Phys
, vol.32
, pp. 2540-2542
-
-
Hu, Z.-J.1
-
57
-
-
0035535333
-
An application of solvable structures to classical and nonclassical similarity solutions
-
Barco M.A., An application of solvable structures to classical and nonclassical similarity solutions, J. Math. Phys., 2001, V.42, 3714-3734.
-
(2001)
J. Math. Phys
, vol.42
, pp. 3714-3734
-
-
Barco, M.A.1
-
58
-
-
0032132213
-
Isovector fields and similarity solutions of nonlinear thermoelasticity
-
Kalpakides V.K., Isovector fields and similarity solutions of nonlinear thermoelasticity, Internat. J. Engrg. Sci., 1998, V.36, 1103-1126.
-
(1998)
Internat. J. Engrg. Sci
, vol.36
, pp. 1103-1126
-
-
Kalpakides, V.K.1
-
59
-
-
36749113098
-
Pseudopotentials and Lie symmetries for the generalized nonlinear Schrodinger equation
-
Harnad J., Winternitz P., Pseudopotentials and Lie symmetries for the generalized nonlinear Schrodinger equation, J. Math. Phys., 1982, V.23, 517-525.
-
(1982)
J. Math. Phys
, vol.23
, pp. 517-525
-
-
Harnad, J.1
Winternitz, P.2
|