The quasigeostrophic two-layer model: Lax representations and conservation laws

被引:1
|
作者
Morozov, O. I. [1 ]
机构
[1] AGH Univ Krakow, Fac Nonferrous Met, Al Adama Mickiewicza 30, PL-30059 Krakow, Poland
关键词
Quasigeostrophic two-layer model; Nonlinear PDEs; Lax representation; Conservation laws; BACKLUND-TRANSFORMATIONS; SYMMETRIES; EQUATIONS;
D O I
10.1016/j.geomphys.2023.104954
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We find two Lax representations for the quasigeostrophic two-layer model equations and use them to construct special Backlund transformations. Then we find all the conservation laws with the cosymmetries of order less or equal to 2 for the equations under the study.& COPY; 2023 Elsevier B.V. All rights reserved.
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页数:5
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