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Acta Physica Sinica (Overseas Edition), 1995, Vol. 4(9): 670-675    DOI: 10.1088/1004-423X/4/9/004
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NONLINEAR ACOUSTICS IN HIGHER-ORDER APPROXIMATION

QIAN ZU-WEN (钱祖文)
State Key Laboratory of Acoustics, Institute of Acoustics, Academia Sinica, Beijing 100080, China
Abstract  Based on Lighthill's equation, the n-th order (n > 2) inhomogeneous wave equations are established by means of the perturbation method. The third-order nonlinear parameter C/A is defined as a new characteristic parameter in addition to the second-order one B/A, By using the Lagrange's parameter variation method, the third-order harmonic waves are obtained, in which the accumulation solution have a term proportional to the square of the distance, It is shown by analysis that all the solutions are valid only in the region where the accumulation terms are predominant.
Received:  07 September 1994      Accepted manuscript online: 
PACS:  43.25.+y (Nonlinear acoustics)  
  02.30.Jr (Partial differential equations)  
Fund: Project supported by the National Natural Science Foundation of China.

Cite this article: 

QIAN ZU-WEN (钱祖文) NONLINEAR ACOUSTICS IN HIGHER-ORDER APPROXIMATION 1995 Acta Physica Sinica (Overseas Edition) 4 670

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