Existence of traveling wave solutions of a high-order nonlinear acoustic wave equation

DOI10.1016/j.physleta.2009.01.042zbMath1228.76143OpenAlexW2123139931MaRDI QIDQ653496

Juan-Miguel Gracia

Publication date: 19 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.01.042

zbMATH Keywords

traveling wave solutionsnonlinear acoustic waves

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Hydro- and aero-acoustics (76Q05) Traveling wave solutions (35C07)

Related Items (7)

Nonlinear acoustics and shock formation in lossless barotropic Green-Naghdi fluids ⋮ Nonlinear waves in electromigration dispersion in a capillary ⋮ On the propagation of nonlinear acoustic waves in viscous and thermoviscous fluids ⋮ Interacting wave fronts and rarefaction waves in a second order model of nonlinear thermoviscous fluids ⋮ Acoustic traveling waves in thermoviscous perfect gases: kinks, acceleration waves, and shocks under the Taylor-Lighthill balance ⋮ Compound waves in a higher order nonlinear model of thermoviscous fluids ⋮ Mathematics of nonlinear acoustics

Cites Work

• Theory of nonlinear acoustics in fluids.
• Addendum to: ``A note on traveling wave solutions for a class of nonlinear viscoelastic media
• A note on traveling wave solutions for a class of nonlinear viscoelastic media
• An analytical study of Kuznetsov's equation: diffusive solitons, shock formation, and solution bifurcation
• Propagation of nonlinear acoustic waves in a tunnel with an array of Helmholtz resonators
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