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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