On Tzitzeica vortex streets and their reciprocals in subsonic gas dynamics

摘要

Hydrodynamic vortex street solutions are generated based on an elliptic Tzitzeica model. A multiparameter class of reciprocal transformations is coupled with the action of a Backlund transformation to construct compressible vortex solutions of breather type valid in subsonic flow regimes of a generalized Karman-Tsien gas.