On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations

Table 2

Reductions of the damped wave equation (2).

Case	Algebra	Reduced equation
2
2
2
3
3
3
4
4
4
5
5
6
6
6
7
8
8
8
9
9
9
9
9
9

In all the reductions, we can replace by and consequently ’s and ’s are interchangeable.