Wave excitation in a dissipative medium with a double quadratically-modular nonlinearity: a generalization of the inhomogeneous Burgers equation

DOI10.1134/S1064562418030110zbMath1403.35244OpenAlexW2883872817WikidataQ129560305 ScholiaQ129560305MaRDI QIDQ1673710

O. V. Rudenko

Publication date: 13 September 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418030110

zbMATH Keywords

Burgers equationshock waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Perturbations in context of PDEs (35B20)

Cites Work

• Unnamed Item
• Equation admitting linearization and describing waves in dissipative media with modular, quadratic, and quadratically cubic nonlinearities
• Waves and structures in nonlinear nondispersive media. General theory and applications to nonlinear acoustics.
• Asymptotic behavior of solutions of 1D-Burgers equation with quasi-periodic forcing
• On front motion in a Burgers-type equation with quadratic and modular nonlinearity and nonlinear amplification
• Inhomogeneous Burgers equation with modular nonlinearity: excitation and evolution of high-intensity waves
• One-dimensional model of KZ-type equations for waves in the focal region of cubic and quadratically-cubic nonlinear media
• Stability and Bäcklund transform of the forced Burgers equation

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