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Wave beams in crystals with dislocations and quadratic nonlinearity

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Abstract

Nonlinear elastic waves in dislocated crystals are considered in terms of equations with constant coefficients, which involve a quadratic nonlinearity. A nonlinear modulation equation with a cubic nonlinearity is obtained for the first harmonic amplitude, a dispersion equation is derived, and the absorption coefficient is determined. The stability and focusing (self-focusing) of a wave beam are studied.

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Authors and Affiliations

  1. Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan, Armenia

    A. V. Shekoyan

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  1. A. V. Shekoyan
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Correspondence to A. V. Shekoyan.

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Original Russian Text © A.V. Shekoyan, 2009, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 35, No. 7, pp. 93–97.

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Shekoyan, A.V. Wave beams in crystals with dislocations and quadratic nonlinearity. Tech. Phys. Lett. 35, 337–339 (2009). https://doi.org/10.1134/S1063785009040142

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  • DOI: https://doi.org/10.1134/S1063785009040142

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