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Volumn 252, Issue 2, 2000, Pages 840-863

Exceptional properties of second and third order ordinary differential equations of maximal symmetry

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EID: 0034670485     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7127     Document Type: Article
Times cited : (29)

References (15)
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    • 0002858793 scopus 로고
    • Second order differential equations: Conditions of complete integrability
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    • (1880) Univ. Izv. Kiev Ser. III , vol.9 , pp. 1-25
    • Ermakov, V.1
  • 3
    • 0031198375 scopus 로고    scopus 로고
    • Characterisation of the algebraic properties of first integrals of scalar ordinary differential equations of maximal symmetry
    • Flessas G. P., Govinder K. S., Leach P. G. L. Characterisation of the algebraic properties of first integrals of scalar ordinary differential equations of maximal symmetry. J. Math. Anal. Appl. 212:1997;349-374.
    • (1997) J. Math. Anal. Appl. , vol.212 , pp. 349-374
    • Flessas G., P.1    Govinder K., S.2    Leach P. G., L.3
  • 4
    • 0001577484 scopus 로고
    • Classification of second order ordinary differential equations admitting Lie groups of fibre preserving point symmetries
    • Hsu I., Kamran N. Classification of second order ordinary differential equations admitting Lie groups of fibre preserving point symmetries. Proc. London Math. Soc. 58:1989;387-416.
    • (1989) Proc. London Math. Soc. , vol.58 , pp. 387-416
    • Hsu, I.1    Kamran, N.2
  • 6
    • 0001149405 scopus 로고
    • Équations différentielles linéaires d'ordre n > 2 ayant une algébre de Lie symétrie de dimension n + 4
    • Krause J., Michel L. Équations différentielles linéaires d'ordre n > 2 ayant une algébre de Lie symétrie de dimension n + 4. C. R. Acad. Sci. Paris Ser. I. 307:1988;905-910.
    • (1988) C. R. Acad. Sci. Paris Ser. I , vol.307 , pp. 905-910
    • Krause, J.1    Michel, L.2
  • 7
    • 36749106360 scopus 로고
    • Quadratic Hamiltonians, quadratic invariants and the symmetry group SU(N)
    • Leach P. G. L. Quadratic Hamiltonians, quadratic invariants and the symmetry group SU(N). J. Math. Phys. 19:1978;446-451.
    • (1978) J. Math. Phys. , vol.19 , pp. 446-451
    • Leach P. G., L.1
  • 11
    • 84935164245 scopus 로고
    • The linear symmetries of a nonlinear differential equation
    • Mahomed F. M., Leach P. G. L. The linear symmetries of a nonlinear differential equation. Quaestiones Math. 8:1985;241-274.
    • (1985) Quaestiones Math. , vol.8 , pp. 241-274
    • Mahomed F., M.1    Leach P. G., L.2
  • 12
    • 0025494888 scopus 로고
    • Symmetry Lie algebras of nth order ordinary differential equations
    • Mahomed F. M., Leach P. G. L. Symmetry Lie algebras of nth order ordinary differential equations. J. Math. Anal. Appl. 151:1990;80-107.
    • (1990) J. Math. Anal. Appl. , vol.151 , pp. 80-107
    • Mahomed F., M.1    Leach P. G., L.2
  • 13
    • 0000018238 scopus 로고
    • Contact symmetry algebras of scalar second order ordinary differential equations
    • Mahomed F. M., Leach P. G. L. Contact symmetry algebras of scalar second order ordinary differential equations. J. Math. Phys. 32:1991;2051-2055.
    • (1991) J. Math. Phys. , vol.32 , pp. 2051-2055
    • Mahomed F., M.1    Leach P. G., L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.