Stationary waves in a bimodular rod of finite radius

DOI10.1016/j.wavemoti.2017.09.003OpenAlexW2758545581MaRDI QIDQ2190466

A. Radostin, S. Kiyashko, V. E. Nazarov

Publication date: 18 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2017.09.003

zbMATH Keywords

stationary wavesbimodular mediarod with dispersion

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Partial differential equations (35-XX)

Related Items (5)

Generation of harmonics and degenerate parametric interaction of longitudinal acoustic waves in solids with quadratically-bimodular nonlinearity ⋮ Modular Hopf equation ⋮ Stability and interaction of compactons in the sublinear KdV equation ⋮ The structure of algebraic solitons and compactons in the generalized Korteweg-de Vries equation ⋮ Asymptotic stability of viscous shocks in the modular Burgers equation

Cites Work

• Unnamed Item
• Equation admitting linearization and describing waves in dissipative media with modular, quadratic, and quadratically cubic nonlinearities
• Modular solitons
• Propagation of nonlinear acoustic waves in bimodular media with linear dissipation
• General theory of the solutions of the equations of motion of an elastic medium of different moduli
• One-dimensional wave propagation in materials with different moduli in tension and compression
• Inhomogeneous Burgers equation with modular nonlinearity: excitation and evolution of high-intensity waves

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