R. Zhdanov et O. Panchak, NEW CONDITIONAL SYMMETRIES AND EXACT-SOLUTIONS OF THE NONLINEAR-WAVE EQUATION, Journal of physics. A, mathematical and general (Print), 31(43), 1998, pp. 8727-8734
We have constructed the new class of conditional symmetries of the non
linear wave equation in 1 + 3 dimensions. These symmetries enable us t
o obtain broad families of new exact solutions of the nonlinear wave e
quation containing up to the four arbitrary functions.