Abstract
The propagation of nonlinear waves in random media is an important aspect of nonlinear wave theory and has a long and informative history. This paper describes the basic ideas of the approaches that have been applied. The average-field method, which has been used most extensively in linear problems, is considered. This approach is then shown to be incorrect as far as nonlinear processes are concerned. Finally, a new scheme is proposed average-form the method, which allows consistent evolution equations to be obtained for nonlinear waves in random media.
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Institute of Applied Physics, Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 36, No. 8, pp. 760–766, August, 1993.
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Benilov, E.S., Pelinovskii, E.N. Nonlinear waves in weakly dispersive random media. Radiophys Quantum Electron 36, 510–515 (1993). https://doi.org/10.1007/BF01038422
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DOI: https://doi.org/10.1007/BF01038422