Stationary Longitudinal Waves in a Rod with Quadratic Bimodular Nonlinearity

Stationary Longitudinal Waves in a Rod with Quadratic Bimodular Nonlinearity

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 equatio...

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Veröffentlicht in:Radiophysics and quantum electronics 2022-12, Vol.65 (7), p.546-554
Hauptverfasser: Nazarov, V. E., Kiyashko, S. B.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Astronomy
Astrophysics and Astroparticles
Elastic waves
Hadrons
Heavy Ions
Lasers
Longitudinal waves
Mathematical and Computational Physics
Nonlinear equations
Nonlinearity
Nuclear Physics
Observations and Techniques
Optical Devices
Optics
Phase velocity
Photonics
Physics
Physics and Astronomy
Quantum Optics
Theoretical
Wave propagation
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Beschreibung
Zusammenfassung: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.
ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-023-10235-1