Kiselev, A. P. Relatively undistorted waves. New examples. (English. Russian original) Zbl 1108.35034 J. Math. Sci., New York 117, No. 2, 3945-3946 (2003); translation from Zap. Nauchn. Semin. POMI 275, 100-103 (2001). Summary: New solutions of the wave equation with three space variables of the form \(u= g(x,y,z,t)f(\theta)\), where the functions \(g\) and \(\theta= \theta(x,y,z,t)\) are some specified functions and \(f\) is an arbitrary function of one variable, are presented. Cited in 2 Documents MSC: 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35C05 Solutions to PDEs in closed form × Cite Format Result Cite Review PDF Full Text: DOI