Dispersive nonlinear acoustic waves

DOI10.1016/j.wavemoti.2022.102990OpenAlexW4283593310MaRDI QIDQ2171832

O. V. Rudenko

Publication date: 9 September 2022

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

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2022.102990

zbMATH Keywords

nonlinear dispersionself-focusingshock frontssawtooth wavesgeometricalequations of the Khokhlov-Zabolotskaya and Ostrovsky-Vakhnenko typekernel of relaxation and oscillatory typephysicalself-refraction

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Related Items (1)

Nonlinear dispersive waves in fluids and solids

Cites Work

• Strong nonlinearity, anisotropy, and solitons in a lattice with holonomic constraints
• An equation of nonlinear waves in a scattering medium.
• Projection of the Khokhlov-Zabolotskaya equation on the axis of wave beam as a model of nonlinear diffraction
• Singularities and spectral asymptotics of a random nonlinear wave in a nondispersive system
• Evolution of weak noise and regular waves on dissipative shock fronts described by the Burgers model
• Discontinuous Galerkin methods for the Ostrovsky-Vakhnenko equation
• Group analysis of evolutionary integro-differential equations describing nonlinear waves: the general model
• Nonlinear wave motion governed by the modified Burgers equation
• Solitons in a nonlinear model medium
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