메뉴 건너뛰기




Volumn 34, Issue 43, 2001, Pages 9243-9263

Group foliation and non-invariant solutions of the heavenly equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035798512     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/43/310     Document Type: Article
Times cited : (48)

References (23)
  • 1
    • 0000929703 scopus 로고
    • Über differentialinvarianten
    • Lie S 1884 Über Differentialinvarianten Math. Ann. 24 52
    • (1884) Math. Ann. , vol.24 , pp. 52
    • Lie, S.1
  • 2
    • 0000798018 scopus 로고
    • Sur l'integration des sistem differentiels qui admittent des groupes continus de transformations
    • Vessiot E 1904 Sur l'integration des sistem differentiels qui admittent des groupes continus de transformations Acta Math. 28 307
    • (1904) Acta Math. , vol.28 , pp. 307
    • Vessiot, E.1
  • 5
    • 0040418762 scopus 로고
    • Area-preserving diffeomorphisms and higher spin fields in 2 + 1 dimensions
    • ed M Duff, C Pope and E Sezgin (Singapore: World Scientific)
    • Bakas I 1990 Area-preserving diffeomorphisms and higher spin fields in 2 + 1 dimensions Supermembranes and Physics in 2 + 1 Dimensions ed M Duff, C Pope and E Sezgin (Singapore: World Scientific) pp 352-62
    • (1990) Supermembranes and Physics in 2 + 1 Dimensions , pp. 352-362
    • Bakas, I.1
  • 6
    • 84968282200 scopus 로고
    • Gravitation, gauge theory and differential geometry
    • Eguchi T, Gilkey P B and Hanson A J 1980 Gravitation, gauge theory and differential geometry Phys. Rep. 66 213
    • (1980) Phys. Rep. , vol.66 , pp. 213
    • Eguchi, T.1    Gilkey, P.B.2    Hanson, A.J.3
  • 7
    • 0002883320 scopus 로고
    • Einstein-Weil spaces and SU(∞) Toda fields
    • Ward R S 1990 Einstein-Weil spaces and SU(∞) Toda fields Class. Quantum Grav. 7 L95
    • (1990) Class. Quantum Grav. , vol.7
    • Ward, R.S.1
  • 8
    • 36749120795 scopus 로고
    • Killing vectors in self-dual Euclidean Einstein spaces
    • Boyer C P and Finley J D III 1982 Killing vectors in self-dual Euclidean Einstein spaces J. Math. Phys. 23 1126-30
    • (1982) J. Math. Phys. , vol.23 , pp. 1126-1130
    • Boyer, C.P.1    Finley J.D. III2
  • 9
    • 0000700786 scopus 로고
    • Integro-differential non-linear equations and continual Lie algebras
    • Saveliev M V 1989 Integro-differential non-linear equations and continual Lie algebras Commun. Math. Phys. 121 283
    • (1989) Commun. Math. Phys. , vol.121 , pp. 283
    • Saveliev, M.V.1
  • 10
    • 0039234309 scopus 로고
    • On the integrability problem of a continuous Toda system
    • Saveliev M V 1992 On the integrability problem of a continuous Toda system Theor. Math. Phys. 92 1024
    • (1992) Theor. Math. Phys. , vol.92 , pp. 1024
    • Saveliev, M.V.1
  • 11
    • 0035847317 scopus 로고    scopus 로고
    • Differential invariants and group foliation for the complex Monge-Ampère equation
    • Nutku Y and Sheftel M B 2001 Differential invariants and group foliation for the complex Monge-Ampère equation J. Phys. A: Math. Gen. 34 137
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 137
    • Nutku, Y.1    Sheftel, M.B.2
  • 13
    • 0000474912 scopus 로고
    • Symmetries of the self-dual Einstein equations: I. The infinite dimensional symmetry group and its low-dimensional subgroups
    • Boyer C P and Winternitz P 1989 Symmetries of the self-dual Einstein equations: I. The infinite dimensional symmetry group and its low-dimensional subgroups J. Math. Phys. 30 1081
    • (1989) J. Math. Phys. , vol.30 , pp. 1081
    • Boyer, C.P.1    Winternitz, P.2
  • 15
    • 34250603285 scopus 로고
    • Sur les invariants differentiels des groupes continus de transformations
    • Tresse A 1894 Sur les invariants differentiels des groupes continus de transformations Acta Math. 18 1
    • (1894) Acta Math. , vol.18 , pp. 1
    • Tresse, A.1
  • 16
    • 0007232586 scopus 로고    scopus 로고
    • Einstein metrics, hypercomplex structures and the Toda field equation
    • Calderbank D M J and Tod P 2001 Einstein metrics, hypercomplex structures and the Toda field equation Diff. Geom. Appl. 14 199-208
    • (2001) Diff. Geom. Appl. , vol.14 , pp. 199-208
    • Calderbank, D.M.J.1    Tod, P.2
  • 17
    • 0002279696 scopus 로고
    • Group theory and exact solutions of nonlinear partial differential equations
    • Dordrecht: Kluwer
    • Wintenitz P 1993 Group theory and exact solutions of nonlinear partial differential equations Integrable Systems, Quantum Groups and Quantum Field Theories (Dordrecht: Kluwer) pp 429-45
    • (1993) Integrable Systems, Quantum Groups and Quantum Field Theories , pp. 429-445
    • Wintenitz, P.1
  • 18
    • 0000478462 scopus 로고
    • The general similarity solution of the heat equation
    • Bluman G W and Cole J D 1969 The general similarity solution of the heat equation J. Math. Mech. 18 1025
    • (1969) J. Math. Mech. , vol.18 , pp. 1025
    • Bluman, G.W.1    Cole, J.D.2
  • 19
    • 18944400520 scopus 로고
    • New similarity solutions of the Boussinesq equation
    • Clarkson P A and Kruskal M D 1989 New similarity solutions of the Boussinesq equation J. Math. Phys. 30 2201
    • (1989) J. Math. Phys. , vol.30 , pp. 2201
    • Clarkson, P.A.1    Kruskal, M.D.2
  • 20
    • 0001678923 scopus 로고
    • Non-classical symmetry reduction: Example of the Boussinesq equation
    • Levi D and Winternitz P 1989 Non-classical symmetry reduction: example of the Boussinesq equation J. Phys. A: Math. Gen. 22 2915
    • (1989) J. Phys. A: Math. Gen. , vol.22 , pp. 2915
    • Levi, D.1    Winternitz, P.2
  • 21
    • 0005514819 scopus 로고    scopus 로고
    • Symmetry reduction and exact solutions of nonlinear partial differential equations
    • New York: Springer
    • Clarkson P A and Winternitz P 1999 Symmetry reduction and exact solutions of nonlinear partial differential equations The Painleve Property, One Century Later (New York: Springer) pp 597-668
    • (1999) The Painleve Property, One Century Later , pp. 597-668
    • Clarkson, P.A.1    Winternitz, P.2
  • 22
    • 84981754671 scopus 로고
    • Integrals of nonlinear equations of evolution and solitary waves
    • Lax P D 1968 Integrals of nonlinear equations of evolution and solitary waves Commun. Pure Appl. Math. 21 467
    • (1968) Commun. Pure Appl. Math. , vol.21 , pp. 467
    • Lax, P.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.