Propagation of nonlinear acoustic waves in bimodular media with linear dissipation

DOI10.1016/J.WAVEMOTI.2012.08.005zbMath1360.74093OpenAlexW2067893723MaRDI QIDQ528627

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

Publication date: 16 May 2017

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0165212512001035

zbMATH Keywords

self-similar solutionbimodular medianonanalytical nonlinearity

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items (8)

Stationary waves in a bimodular rod of finite radius ⋮ Single shock and periodic sawtooth-shaped waves in media with non-analytic nonlinearities ⋮ Generation of harmonics and degenerate parametric interaction of longitudinal acoustic waves in solids with quadratically-bimodular nonlinearity ⋮ Equation admitting linearization and describing waves in dissipative media with modular, quadratic, and quadratically cubic nonlinearities ⋮ Modular solitons ⋮ Propagation of acoustic unipolar pulses and periodic waves in media with quadratic hysteretic nonlinearity and linear viscous dissipation ⋮ Evolution of Pulse and Periodic Elastic Waves in Media with Quadratically-Bimodular Nonlinearity ⋮ Asymptotic stability of viscous shocks in the modular Burgers equation

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