One-dimensional model of KZ-type equations for waves in the focal region of cubic and quadratically-cubic nonlinear media

DOI10.1134/S1064562417040238zbMath1375.35093OpenAlexW2748070048MaRDI QIDQ2411810

O. V. Rudenko

Publication date: 25 October 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562417040238

zbMATH Keywords

low-frequency dispersionhigh-intensity wave profileKhokhlov-Zabolotskaya type

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (3)

Wave excitation in a dissipative medium with a double quadratically-modular nonlinearity: a generalization of the inhomogeneous Burgers equation ⋮ Single shock and periodic sawtooth-shaped waves in media with non-analytic nonlinearities ⋮ Strong nonlinearity, anisotropy, and solitons in a lattice with holonomic constraints

Cites Work

• Self-similar solutions of a Burgers-type equation with quadratically cubic nonlinearity
• Quadratically cubic Burgers' equation as exactly solvable model of mathematical physics
• 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.

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