Cylindrical wave, wave equation, and method of separation of variables
Abstract
Abstract
It is shown that the wave equation cannot be solved for the general spreading of the cylindrical wave using the method of separation of variables. But an equation is presented in case of its solving the above act will have occurred. Also using this equation the above-mentioned general spreading of the cylindrical wave for large distances is obtained which contrary to what is believed consists of arbitrary functions.
(14) Cylindrical wave, wave equation, and method of separation of variables (pdf)