| Issue |
Europhys. Lett.
Volume 66, Number 5, June 2004
|
|
|---|---|---|
| Page(s) | 617 - 623 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2003-10258-0 | |
| Published online | 01 May 2004 | |
A nonlinear geometric equation related to electrodynamics
Department of Mathematics, Shanghai Jiao Tong University - Shanghai 200030, PRC
Received:
21
November
2003
Accepted:
2
April
2004
We introduce a nonlinear geometric equation (NGE) related to
electrodynamics, which governs the time-like extremal surfaces in
-dimensional Minkowski space. We study some interesting
properties enjoyed by the NGE, and present an explicit exact
representation, involving two independent arbitrary functions, of
general solution. Finally, we discuss the mechanism of the
formation of singularities of the NGE.
PACS: 02.30.Jr – Partial differential equations / 03.50.De – Classical electromagnetism, Maxwell equations / 03.50.-z – Classical field theories
© EDP Sciences, 2004
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