Geodesic
Classes of generalized functional invariant solutions of wave equation.~I
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 418-435.

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Proved that formula Smirnov–Sobolev give all real-valued functional invariant solutions of wave equation in space arbitrary dimension. Proved that solution with many phase functions are essential complex-valued. Considered problem finding of amplitude of generalized functional invariant solution for given phase.
Keywords: wave equation, generalized functional invariant solutions. 
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M. V. Neshchadim. Classes of generalized functional invariant solutions of wave equation.~I. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 418-435. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a51/

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