Asymptotics of a finite-energy unidirectional solution of the wave equation with non-spherical-wave behavior at infinity
A. B. Plachenov, Aleksei Prokhorovich Kiselev · arXiv (Cornell University) · 2025
A detailed investigation is presented of a simple unidirectional finite-energy solution of the 3D wave equation. Its asymptotics as a spatial point runs to infinity with the wave propagations speed is a standard spherical wave as z 0. Asymptotics for a point running to infinity with an arbitrary constant speed is discussed