Conclusions
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1.
Solution (5) is more general than the one given in [1,2].
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2.
By analyzing the velocity of displacement u = (2δ/a)(Wτ/W) it has been possible to demonstrate the presence of phase velocity dispersion in the harmonics.
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3.
The harmonics of the velocity of displacement in the traveling wave have different forms with respect to space and time.
References
Mendousse, JASA,25, 51. 1953.
S. I. Soluyan and R. V. Khokhlov, Vestnik Moskovskogo universiteta, no. 3, 1961.
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Mikhailov, G.D. The dynamics of acoustic waves of finite amplitude traveling in free space. Soviet Physics Journal 10, 86 (1967). https://doi.org/10.1007/BF00838544
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DOI: https://doi.org/10.1007/BF00838544