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Volumn 212, Issue 2, 1997, Pages 349-374

Characterisation of the algebraic properties of first integrals of scalar ordinary differential equations of maximal symmetry

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; INTEGRAL EQUATIONS; MATHEMATICAL TECHNIQUES;

EID: 0031198375     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5506     Document Type: Article
Times cited : (14)

References (22)
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    • Mahomed, F.M.1    Leach, P.G.L.2
  • 3
    • 0001577484 scopus 로고
    • Classification of second-order ordinary differential equations admitting Lie groups of fibre-preserving point symmetries
    • 3. L. Hsu and N. Kamran, 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, L.1    Kamran, N.2
  • 7
    • 0000815857 scopus 로고
    • Classification of the symmetries of ordinary differential equations of n order
    • V. V. Dodonov and V. I. Man'ko, Eds., Springer-Verlag, New York/Berlin
    • 7. J. Krause and L. Michel, Classification of the symmetries of ordinary differential equations of n order, in "Lecture Notes in Physics," (V. V. Dodonov and V. I. Man'ko, Eds.), Vol. 382, pp. 251-262, Springer-Verlag, New York/Berlin, 1991.
    • (1991) Lecture Notes in Physics , vol.382 , pp. 251-262
    • Krause, J.1    Michel, L.2
  • 10
    • 0010956695 scopus 로고
    • Maximal subalgebra associated with a first integral of a system possessing sl(2, R) algebra
    • 10. P. G. L. Leach and F. M. Mahomed, Maximal subalgebra associated with a first integral of a system possessing sl(2, R) algebra, J. Math. Phys. 29 (1988), 1807-1813.
    • (1988) J. Math. Phys. , vol.29 , pp. 1807-1813
    • Leach, P.G.L.1    Mahomed, F.M.2
  • 11
    • 36749108264 scopus 로고
    • Subalgebras of real three and four dimensional Lie algebras
    • 11. J. Patera and P. Winternitz, Subalgebras of real three and four dimensional Lie algebras, J. Math. Phys. 18 (1977), 1449-1455.
    • (1977) J. Math. Phys. , vol.18 , pp. 1449-1455
    • Patera, J.1    Winternitz, P.2
  • 12
    • 0011033915 scopus 로고
    • The algebraic structure of the first integrals of third order linear equations
    • 12. K. S. Govinder and P. G. L. Leach, The algebraic structure of the first integrals of third order linear equations, J. Math. Anal. Appl. 193 (1995), 114-133.
    • (1995) J. Math. Anal. Appl. , vol.193 , pp. 114-133
    • Govinder, K.S.1    Leach, P.G.L.2
  • 14
    • 0038866689 scopus 로고    scopus 로고
    • Remarks on the symmetry Lie algebras of first integrals of scalar third order ordinary differential equations with maximal symmetry
    • in press
    • 14. G. P. Flessas, K. S. Govinder, and P. G. L. Leach, Remarks on the symmetry Lie algebras of first integrals of scalar third order ordinary differential equations with maximal symmetry, Bull. Greek Math. Soc., in press.
    • Bull. Greek Math. Soc.
    • Flessas, G.P.1    Govinder, K.S.2    Leach, P.G.L.3
  • 16
    • 0027685141 scopus 로고
    • LIE, a PC program for Lie analysis of differential equations
    • 16. A. K. Head, LIE, a PC program for Lie analysis of differential equations, Comput. Phys. Comm. 77 (1993), 241-248.
    • (1993) Comput. Phys. Comm. , vol.77 , pp. 241-248
    • Head, A.K.1
  • 18
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    • Wolfram Research, Urbana-Champaign, Illinois
    • 18. Wolfram Research, Inc., "Mathematica Version 2.2," Wolfram Research, Urbana-Champaign, Illinois, 1993.
    • (1993) Mathematica Version 2.2
  • 19
    • 0011043230 scopus 로고
    • Nonlinear waves in pellet fusion
    • C. Rodgers and T. B. Moodie, Eds., North-Holland, Amsterdam
    • 19. V. J. Ervin, W. F. Ames, and E. Adams, Nonlinear waves in pellet fusion, in "Wave Phenomena: Modern Theory and Applications" (C. Rodgers and T. B. Moodie, Eds.), North-Holland, Amsterdam, 1984.
    • (1984) Wave Phenomena: Modern Theory and Applications
    • Ervin, V.J.1    Ames, W.F.2    Adams, E.3
  • 21
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    • Analysis and solution of a nonlinear second order equation through rescaling and through a dynamical point of view
    • 21. P. G. L. Leach, M. R. Feix, and S. Bouquet, Analysis and solution of a nonlinear second order equation through rescaling and through a dynamical point of view, J. Math. Phys. 29 (1988), 2563-2569.
    • (1988) J. Math. Phys. , vol.29 , pp. 2563-2569
    • Leach, P.G.L.1    Feix, M.R.2    Bouquet, S.3
  • 22
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    • (1985) Quaestiones Math. , vol.8 , pp. 241-274
    • Mahomed, F.M.1    Leach, P.G.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.