Bulletin of the American Mathematical Society

MathSciNet review: 1567719
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Book Information:

Authors: W. I. Fushchich and A. G. Nikitin
Title: Symmetries of Maxwell's equations
Additional book information: Translated by John R. Schulenberger. Mathematics and its Applications. D. Reidel Publishing Company, Dordrecht, 1987, xiv + 214 pp., $74.00. ISBN 90-277-2320-6.

1.

H. Bateman, The conformal transformations of a space of four dimensions and their applications to geometrical optics, Proc. London Math. Soc. 7 (1909), 70-89.

Garrett Birkhoff, Hydrodynamics. A Study in Logic, Fact, and Similitude, Princeton University Press, Princeton, N. J., 1950. MR 0038180

3.

E. Cunningham, The principle of relativity in electrodynamics and an extension thereof, Proc. London Math. Soc. 8 (1909), 77-98.

4.

V. Fock, Zur Theorie des Wasserstoffatoms, Z. Physik 98 (1935), 145-154.

E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757

E. G. Kalnins, W. Miller Jr., and G. C. Williams, Matrix operator symmetries of the Dirac equation and separation of variables, J. Math. Phys. 27 (1986), no. 7, 1893–1900. MR 844233, DOI 10.1063/1.527395

I. A. Malkin and V. I. Man′ko, Symmetry of the hydrogen atom, Soviet J. Nuclear Phys. 3 (1966), 267–274. MR 0204088

Emmy Noether, Invariant variation problems, Transport Theory Statist. Phys. 1 (1971), no. 3, 186–207. MR 406752, DOI 10.1080/00411457108231446

Peter J. Olver, Applications of Lie groups to differential equations, Graduate Texts in Mathematics, vol. 107, Springer-Verlag, New York, 1986. MR 836734, DOI 10.1007/978-1-4684-0274-2

L. V. Ovsiannikov, Group analysis of differential equations, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1982. Translated from the Russian by Y. Chapovsky; Translation edited by William F. Ames. MR 668703

F. Schwarz, Automatically determining symmetries of partial differential equations, Computing 34 (1985), no. 2, 91–106 (English, with German summary). MR 793075, DOI 10.1007/BF02259838

1.

H. Bateman, The conformal transformations of a space of four dimensions and their applications to geometrical optics, Proc. London Math. Soc. 7 (1909), 70-89.

2.

G. Birkhoff, Hydrodynamics-A study in logic, fact and similitude, 1st ed., Princeton Univ. Press, Princeton, N. J., 1950. MR 0038180

3.

E. Cunningham, The principle of relativity in electrodynamics and an extension thereof, Proc. London Math. Soc. 8 (1909), 77-98.

4.

V. Fock, Zur Theorie des Wasserstoffatoms, Z. Physik 98 (1935), 145-154.

5.

E. L. Ince, Ordinary differential equations, Dover, New York, 1956. MR 10757

6.

E. G. Kalnins, W. Miller, Jr. and G. C. Williams, Matrix operator symmetries of the Dirac equation and separation of variables, J. Math. Phys. 27 (1986), 1893-1900. MR 844233

7.

I. A. Malkin and V. I. Man'ko, Symmetry of the hydrogen atom, Soviet J. Nuclear Phys. 3 (1966), 267-274. MR 204088

8.

E. Noether, Invariante Variationsprobleme, Nachr. Konig. Gesell. Wissen. Gottingen, Math.-Phys. Kl. (1918), 235-257 (see Transport Theory and Stat. Phys. 1 (1971), 186-207 for an English translation). MR 406752

9.

P. J. Olver, Applications of Lie groups to differential equations, Graduate Texts in Math., vol. 107, Springer-Verlag, New York, 1986. MR 836734

10.

L. V. Ovsiannikov, Group analysis of differential equations, Academic Press, New York, 1982. MR 668703

11.

F. Schwarz, Automatically determining symmetries of partial differential equations, Computing 34 (1985), 91-106. MR 793075