A new Lagrangian structure for cold relativistic plasma electrodynamic
s is presented. This new formulation uses the fluid velocity v instead
of the canonical-momentum Clebsch potential psi [X. L. Chen and R. N.
Sudan, Phys. Fluids B 5, 1336 (1993)], As a simple application, it is
used to derive (through the Noether method) new exact conservation la
ws associated with nonlinear laser wake-field equations in the multi-d
imensional quasi-static approximation. (C) 1998 American Institute of
Physics.