Nonlocal symmetries and nonlocal conservation laws of Maxwell's equations

Journal of Mathematical Physics

Volumn 38, Issue 7, 1997, Pages 3508-3532

  Anco, Stephen C ^a   Bluman, George ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031490616     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531866     Document Type: Article

References (12)

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4. G. Bluman and P. Doran-Wu, "The use of factors to discover potential systems or linearizations," Acta Applic. Math. 41, 21-43 (1995).
5. P. Olver, Applications of Lie Groups to Differential Equations (Springer, New York, 1986).
6. P. Doran-Wu, private communication.
7. S. C. Anco and G. Bluman, "Direct construction of conservation laws from field equations," Phys. Rev. Lett. 78, 2869-2873 (1997).
8. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
9. E. Bessel-Hagen, "Über die Erhaltungssätze der Eletrodynamik," Math. Ann. 84, 258-276 (1921).
10. H. Bateman, "The conformal transformations of a space of four dimensions and their applications to geometrical optics," Proc. London Math. Soc. 8, 223-264 (1909).
11. E. Cunningham, "The principle of relativity in electrodynamics and an extension thereof," Proc. London Math. Soc. 8, 77-98 (1909).
12. J. Pohjanpelto, "Symmetries, conservation laws, and Maxwell's equations," in Advanced Electromagnetism: Foundations, Theory and Applications, edited by T. W. Barrett and D. M. Grimes (World Scientific, Singapore, 1995).