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Stationary Longitudinal Waves in a Rod with Quadratic Bimodular Nonlinearity

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Radiophysics and Quantum Electronics Aims and scope

We have performed theoretical analysis and a numerical study of stationary longitudinal elastic waves in a rod, which is made of a microinhomogeneous solid body with quadratic-bimodular nonlinearity, with account taken of the geometric dispersion of the phase velocity of the waves. Nonlinear equations are obtained, and their numerical solutions are analyzed for stationary solitary and periodic waves propagating without variations in their form. Graphical analysis of the profiles of stationary waves is performed.

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia

    V. E. Nazarov & S. B. Kiyashko

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  1. V. E. Nazarov
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  2. S. B. Kiyashko
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Correspondence to V. E. Nazarov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 65, No. 7, pp. 598–607, July 2022. Russian DOI: https://doi.org/10.52452/00213462_2022_65_07_598

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Nazarov, V.E., Kiyashko, S.B. Stationary Longitudinal Waves in a Rod with Quadratic Bimodular Nonlinearity. Radiophys Quantum El 65, 546–554 (2022). https://doi.org/10.1007/s11141-023-10235-1

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  • DOI: https://doi.org/10.1007/s11141-023-10235-1

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