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

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Gungor F., Özemir C.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.136, no.7, 2021 (SCI-Expanded) identifier identifier


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.