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- W4367000258 abstract "We find the twisted extensions of the symmetry algebra of the 2D Euler equation in the vorticity form and use them to construct new Lax representation for this equation. Then we generalize this result by considering the transformation Lie--Rinehart algebras generated by finite-dimensional subalgebras of the symmetry algebra and derive a family of Lax representations for the Euler equation. The family depends on functional parameters and contains a non-removable spectral parameter. Finally we construct a special B{a}cklund transformation associated to one of the Lax representations." @default.
- W4367000258 created "2023-04-27" @default.
- W4367000258 creator A5077018487 @default.
- W4367000258 date "2023-04-24" @default.
- W4367000258 modified "2023-09-29" @default.
- W4367000258 title "Extensions of the symmetry algebra and Lax representations for the two-dimensional Euler equation" @default.
- W4367000258 doi "https://doi.org/10.48550/arxiv.2304.12077" @default.
- W4367000258 hasPublicationYear "2023" @default.
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