Variational symmetries and conservation laws of the wave equation in one space dimension
arXiv:1912.03698 · doi:10.1016/j.aml.2020.106225
Abstract
The direct method based on the definition of conserved currents of a system of differential equations is applied to compute the space of conservation laws of the (1+1)-dimensional wave equation in the light-cone coordinates. Then Noether's theorem yields the space of variational symmetries of the corresponding functional. The results are also presented for the standard space-time form of the wave equation.
6 pages, minor corrections