Keywords
- Vector Field
- Symmetry Group
- Heat Equation
- Local Group
- Maximal Rank
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
Bluman, G. W. and Cole, J. D., "The General Similarity Solution of the Heat Equation," J. Math. Mech., (11) 18 (1969), pp. 1025–1042.
Bluman, G. W. and Cole, J. D., Similarity Methods for Differential Equations, Springer-Verlag, Applied Math. Sci. No. 13, New York, 1974.
Eisenhart, L. P., Continuous Groups of Transformations, Princeton University Press, Princeton, N.J., 1933.
Olver, P. J., "Symmetry Groups and Group Invariant Solutions of Partial Differential Equations," to appear, J. Diff. Geom.
Ovsjannikov, L. V., Group Properties of Differential Equations, transl. by G. W. Bluman, 1967 (unpublished).
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.
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).
Warner, F. W., Foundations of Differentiable Manifolds and Lie Groups, Scott, Foresman and Company, Glenview, Ill. 1971.
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© 1979 Springer-Verlag
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Olver, P.J. (1979). Appendix: How to find the symmetry group of a differential equation. In: Group Theoretic Methods in Bifurcation Theory. Lecture Notes in Mathematics, vol 762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087463
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DOI: https://doi.org/10.1007/BFb0087463
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