Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equations
The paper derives conservation laws for time-dependent damped nonlinear wave equations using Noether's theorem and a multiplier approach. It investigates symmetries of these equations, showing that the symmetry algebra is related to Euclidean translations and rotations. The analysis yields dimension-dependent conserved currents, providing constants of motion for global solutions.