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Effect of Defects on the Spatial Localization of Nonlinear Acoustic Waves

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope


A self-consistent mathematical model that includes equations of elasticity theory and kinetic equations for the density of different types of point defects is reduced to a nonlinear equation of evolution that combines the familiar Korteweg–de Vries–Burgers and Klein–Gordon equations of wave dynamics. Exact analytical solutions for this equation are found and analyzed.

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Correspondence to V. I. Erofeev.

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Original Russian Text © V.I. Erofeev, A.V. Leonteva, A.O. Malhanov, 2018, published in Izvestiya Rossiiskoi Akademii Nauk, Seriya Fizicheskaya, 2018, Vol. 82, No. 5.

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Erofeev, V.I., Leonteva, A.V. & Malhanov, A.O. Effect of Defects on the Spatial Localization of Nonlinear Acoustic Waves. Bull. Russ. Acad. Sci. Phys. 82, 520–525 (2018).

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