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arXiv · 2102.10664

Dispersionless Davey-Stewartson system: Lie symmetry algebra, symmetry group and exact solutions

Faruk Güngör·Cihangir Özemir
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Abstract

Lie symmetry algebra of the dispersionless Davey-Stewartson (dDS) system is shown to be infinite-dimensional. The structure of the algebra turns out to be Kac-Moody-Virasoro one, which is typical for integrable evolution equations in $2+1$-dimensions. Symmetry group transformations are constructed using a direct (global) approach. They are split into both connected and discrete ones. Several exact solutions are obtained as an application of the symmetry properties.

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Faruk Güngör, Cihangir Özemir. 2021-02-21. Dispersionless Davey-Stewartson system: Lie symmetry algebra, symmetry group and exact solutions. https://arxiv.org/abs/2102.10664

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