Internal gravity wave beams as invariant solutions of Boussinesq equations in geophysical fluid dynamics

DOI10.1016/J.CNSNS.2009.09.006zbMath1222.86003OpenAlexW2039964232MaRDI QIDQ720068

Ranis N. Ibragimov, Nail H. Ibragimov

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.09.006

zbMATH Keywords

stratified fluidinvariant solutionsinternal waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Internal waves for incompressible inviscid fluids (76B55) Stability and instability of geophysical and astrophysical flows (76E20) Stratification effects in inviscid fluids (76B70)

Related Items (2)

Correlation Between Three-dimensional Sine Sweep Dynamics Vibration Testing and Resonantly Interacting Internal Gravity Wave Field ⋮ On the stability and bifurcation of the non-rotating Boussinesq equation with the Kolmogorov forcing at a low Péclet number

Cites Work

• Symmetry and integration methods for differential equations
• Resonant triad model for studying evolution of the energy spectrum among a large number of internal waves
• Lee waves in stratified flows with simple harmonic time dependence
• Nonlinear internal gravity wave beams
• Shallow Water Theory and Solution of the Problem on the Atmospheric Motion Around a Celestial Body
• Numerical study of internal wave–wave interactions in a stratified fluid
• Stationary surface waves on a circular liquid layer with constant gravity
• Nonlinear effects in reflecting and colliding internal wave beams
• Near-critical reflection of internal waves
• Symmetries and differential equations
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