Inhomogeneous Burgers equation with modular nonlinearity: excitation and evolution of high-intensity waves

DOI10.1134/S1064562417030255zbMath1470.74044OpenAlexW2736001716MaRDI QIDQ2404300

O. V. Rudenko

Publication date: 18 September 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562417030255

zbMATH Keywords

elastic wavedissipative mediumhigher harmonicsfundamental harmonicsperiodic signal solution

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30)

Related Items (10)

Existence of contrast structures in a problem with discontinuous reaction and advection ⋮ Front motion in a problem with weak advection in the case of a continuous source and a modular-type source ⋮ Wave excitation in a dissipative medium with a double quadratically-modular nonlinearity: a generalization of the inhomogeneous Burgers equation ⋮ Existence and asymptotic stability of a stationary boundary-layer solution of the two-dimensional reaction-diffusion-advection problem ⋮ Asymptotically stable stationary solutions of the reaction-diffusion-advection equation with discontinuous reaction and advection terms ⋮ Stationary waves in a bimodular rod of finite radius ⋮ Solution with an inner transition layer of a two-dimensional boundary value reaction-diffusion-advection problem with discontinuous reaction and advection terms ⋮ Evolution of Pulse and Periodic Elastic Waves in Media with Quadratically-Bimodular Nonlinearity ⋮ Periodic contrast structures in the reaction-diffusion problem with fast response and weak diffusion ⋮ Asymptotic stability of viscous shocks in the modular Burgers equation

Cites Work

• Equation admitting linearization and describing waves in dissipative media with modular, quadratic, and quadratically cubic nonlinearities
• Modular solitons
• Waves and structures in nonlinear nondispersive media. General theory and applications to nonlinear acoustics.
• Burgulence

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