Interaction of vortical and acoustic waves: from general equations to integrable cases

DOI10.1007/S11232-005-0131-9zbMath1178.76122OpenAlexW2036458320MaRDI QIDQ843899

N. E. Zubov

Publication date: 17 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-005-0131-9

zbMATH Keywords

boundary layerLaplace transformationfluid mechanicsacoustic wavesMoutard transformation\(N\)-wave systemprojecting to eigenmodesTollmienn-Schlichting waves

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Hydro- and aero-acoustics (76Q05) Solutions to PDEs in closed form (35C05)

Cites Work

• Projectors in nonlinear evolution problem: Acoustic solitons of bubbly liquid
• On approximation of solutions to some \((2 + 1)\)-dimensional integrable systems by Bäcklund transformations
• Receptivity of boundary layers with distributed roughness to vortical and acoustic disturbances: a second-order asymptotic theory and comparison with experiments
• On the Moutard transformation for integrable partial differential equations
• Reduction restrictions of Darboux and Laplace transformations for the Goursat equation

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