A Lax representation of the Charney-Obukhov equation for the ocean

DOI10.1134/s199508022309024xOpenAlexW4389576614MaRDI QIDQ6180976

Oleg I. Morozov

Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022309024x

zbMATH Keywords

Lax representationnon-removable parameterCharney-Obukhov equation for oceanspecial Bäcklund transformation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) PDEs in connection with geophysics (35Q86) Geophysical flows (76U60)

Cites Work

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• New solutions for the (3 + 1)-dimensional Charney-Obukhov equation
• Bäcklund transformations, solitary waves, conoid waves and Bessel waves of the \((2+1)\)-dimensional Euler equation
• A Lax pair for the two dimensional Euler equation
• Forecasting the ocean’s weather: numerical models for application to oceanographic data
• Lax Pairs and Darboux Transformations for Euler Equations

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