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1. Handbook of Acoustics, Edited by Malcolm J. Crocker, John Wiley & Sons, INC, 1998,1461 p. 2. Witham G.B. Linear and Nonlinear Waves. N.Y.- Sydney-London-Toronto: Wiley, 1974. 3. .., .. c , // .. 2004. . 174. 9. . 973­989. 4. Lili Ganjehi, Regis Marchiano, Francois Coulouvrat, Jean-Louis Thomas, Evidence of wave front folding of sonic booms by a laboratory -scale deterministic experiment of shock waves in a heterogeneous medium , J. Acoust. Soc. Am., V. 124(1), 2008, pp. 57-71. 5. Michael S. Canney et al., Acoustic characterization of high intensity focused ultrasound fields: A combined measurement and modeling approach, J. Acoust. Soc. Am., V. 124(4), 2008, pp. 2406-2420. 6. Bajram Zegiri and Antony D. Bond, The influence of waveform distortion on hydrophone spatial-averaging corrections ­ Theory and measurement, J. Acoust. Soc. Am., V. 92(4), 1991, pp. 1809-1821.

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(5) [6,7], : A 8 dS . (8) 1 + 1 + 2 V0 (x ) = A th A dz 4S , , , . . 2 < z < 2 . , , , , ­ , z 2 . z > 2 . , . (8) ­ . ( S = 1 + z , A = (1 + z )-1 ) zlin ~ 1.5 . , , (1). , . . , , . , , . ( ) , . , (1) V z . : -2 2 1 . (8) - S ( z ) + V = S ( z ) V V V V 2 z , Vmin , ­ Vmax . , . , , . (8) V Vmin Vmax . V . V + Vmax . (9) = - min z 2 , , . (9) , . , ­ . , , , . Vmin = 0 . , N-, A , . S = 1 + z . , A ~ (1 + z )-1 2 , ~ (1 + z )3 2 ~ 1 + z . ~ (1 + z ) 1 z ~ 1 , .. 164


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1. 2. 3. 4. 5. 6. 7. 8. .., .. . .: , 1975. .., .., .. . .: , 2008. Enflo B.O., Rudenko O.V. To the theory of generalized Burgers' equation // Acta acustica, 2002. V. 88. P. 155-162. .., .. // . . 1968. .4. 2. .. // . . 1970. .6. 2. .., .. , // . .1. . .: , 2010. .., .. , // XXII . .1. .200-204. .: , 2010. Gusev V.A., Sobissevitch A.L. On a problem of propagation of shock waves generated by explosive volcanic eruptions // Nonlinear Acoustics ­ Fundamentals and Applications. International Symposium on Nonlinear Acoustics ISNA-18, 2008, Stockholm, Sweden, pp 397-400.

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