Conditional symmetry of nonlinear wave equation \(\square u=F(u)\). (Ukrainian. English summary) Zbl 0973.35134
Summary: Operators of the conditional symmetry of the nonlinear wave equation \(\square u=F(u)\) are found which are used for construction ansätze and realizations of a reduction of these equations.
MSC:
35L70 | Second-order nonlinear hyperbolic equations |
58J70 | Invariance and symmetry properties for PDEs on manifolds |