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Appendix: How to find the symmetry group of a differential equation

  • Peter J. Olver
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 762)

Keywords

Vector Field Symmetry Group Heat Equation Local Group Maximal Rank 
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References

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    Bluman, G. W. and Cole, J. D., "The General Similarity Solution of the Heat Equation," J. Math. Mech., (11) 18 (1969), pp. 1025–1042.MathSciNetzbMATHGoogle Scholar
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    Bluman, G. W. and Cole, J. D., Similarity Methods for Differential Equations, Springer-Verlag, Applied Math. Sci. No. 13, New York, 1974.CrossRefzbMATHGoogle Scholar
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    Eisenhart, L. P., Continuous Groups of Transformations, Princeton University Press, Princeton, N.J., 1933.zbMATHGoogle Scholar
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    Olver, P. J., "Symmetry Groups and Group Invariant Solutions of Partial Differential Equations," to appear, J. Diff. Geom.Google Scholar
  5. 5.
    Ovsjannikov, L. V., Group Properties of Differential Equations, transl. by G. W. Bluman, 1967 (unpublished).Google Scholar
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    Palais, R. S., "A Global Formulation of the Lie Theory of Transformation Groups," Memoris of the A. M. S. No. 22, Providence, R. J., 1957.Google Scholar
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    Palais, R. S., ed., Seminar on the Atiyah-Singer Index Theorem, Annals of Math Studies, No. 57, Princeton University Press, Princeton, N. J., 1965. (Chapter 4).zbMATHGoogle Scholar
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    Warner, F. W., Foundations of Differentiable Manifolds and Lie Groups, Scott, Foresman and Company, Glenview, Ill. 1971.zbMATHGoogle Scholar

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© Springer-Verlag 1979

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  • Peter J. Olver

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