Analysis of steady solutions of invariant quasi-linear third order equations

DOI10.1016/0021-8928(81)90015-0zbMath0489.76022OpenAlexW2156688421MaRDI QIDQ1167006

F. A. Slobodkina, M. Ya. Ivanov

Publication date: 1981

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(81)90015-0

zbMATH Keywords

phase plane analysistravelling wave solutionswave profilesinvariant quasi-linear third order equationslayer of fluid

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Initial value problems for nonlinear higher-order PDEs (35G25) Basic methods in fluid mechanics (76M99)

Related Items (1)

Traveling wave profiles for nonlinear equations

Cites Work

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• Stability of quasi-onedimensional magnetohydrodynamic flows
• A non-linear equation incorporating damping and dispersion
• Model equations for long waves in nonlinear dispersive systems
• Equilibrium of arbitrary steady flows at the transonic points

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