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.
| Original language | English |
|---|---|
| Article number | 715 |
| Journal | European Physical Journal Plus |
| Volume | 136 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Jul 2021 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
Funding
We are grateful to the referee for drawing our attention to an issue leading to an incorrect identification of the symmetry algebra.