A Lax Representation of the Charney–Obukhov Equation for the Ocean

We find a Lax representation of the 4D Charney–Obukhov equation for the ocean in the -plane approximation. We prove that a parameter involved in the Lax representation is non-removable. Then we derive a special Bäcklund transformation for the equation under the study.

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Bibliographische Detailangaben
Veröffentlicht in:	Lobachevskii journal of mathematics 2023-09, Vol.44 (9), p.3973-3975
1. Verfasser:	Morozov, O. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes Representations
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We find a Lax representation of the 4D Charney–Obukhov equation for the ocean in the -plane approximation. We prove that a parameter involved in the Lax representation is non-removable. Then we derive a special Bäcklund transformation for the equation under the study.
ISSN:	1995-0802 1818-9962
DOI:	10.1134/S199508022309024X