Abstract
The interaction of high-frequency waves with low-frequency (acoustic) waves is investigated. The analysis is carried out in the Hamiltonian formalism in the interest of generality. The instability problem is investigated for the high-frequency wave. The general results obtained in the article are applied to the stability analysis of electromagnetic waves in plasmas and dielectrics. Wave propagation in weakly dispersive media is considered. It is shown that the waves are unstable. The possibility of self-focusing of the waves is studied.
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 84–98, September–October, 1972.
In conclusion the authors wish to thank R. Z. Sagdeev for a discussion of the results.
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Zakharov, V.E., Rubenchik, A.M. Nonlinear interaction of high-frequency and low-frequency waves. J Appl Mech Tech Phys 13, 669–681 (1972). https://doi.org/10.1007/BF00850881
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DOI: https://doi.org/10.1007/BF00850881