Cylindrical wave, wave equation, and method of separation of variables | ||||||||
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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)