This paper is one of a large cycle of papers on obtaining the exact analytical solutions for vibrant elastic systems. This was published first in the electronic journal of laboratory SELF ''SELF Transactions'', vol.2, issue 1. Visiting this journal for free at http://angelfire.lycos.com/la3/selftrans you will find many other important results both on this subject and on many applications of this new method, as well as on many other subjects of mathematical physics and related themes. You will also find there that we check our results experimentally and yield the full coincidence of the calculation and experimental curves. And the main, this method gives exact solutions, and this is non-matrix. Already now we have solved many practically important problems which cannot be even approached properly by conventional methods. This is the future of dynamics out of which any development in any area of basic or applied wave physics is impossible. 
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