Title: Amplification of Nonlinear Waves in the Medium with Temporal Fluctuations
Abstract: The nonlinear wave propagation in random media seems to be very important physical phenomenon having a long and rich history. The scope of this paper is to highlight the main ideas of the new approach to this problem and to give an up-to-date view of the theory. The paper is organized in the following way. We start with the description and discussion of the so-called “mean field method” /1–3/. Then in Section 2 an exactly solvable model describing nonlinear wave propagation in the medium with fluctuating parameters /4/ is considered in order to demonstrate that the “mean field method” is correct. In Section 3 a specific asymptotic procedure of obtaining the equations for a mean wave form /5/ is presented. As an example, in Section 4 the description of the effect of nonlinear wave amplification in the medium with temporal fluctuations is given. In this case the amplification takes the form of an explosive instability.
Publication Year: 1989
Publication Date: 1989-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 1
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