Classical and nonlocal symmetries of the equation
u11u22
- (u12)2
- (u00u22
- (u02)2)
- (u11u00
- (u10)2)
= 0
Abstract:
Lie classical symmetry of the equation u11u22
- (u12)2 - (u00u22
-( u02)2) - (u11u00
- (u10)2) = 0 is found and group-invariant
solutions of it are constructed. The equation under investigation is linearized
by the Legendre transformation. It allows us to obtain solutions of this
equation via a nonlinear superposition principle.