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On Tzitzéica Vortex Streets and Their Reciprocals in Subsonic Gas Dynamics
Author(s) -
Rogers C.,
Schief W. K.,
Chow K. W.,
Mak C. C.
Publication year - 2005
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.0022-2526.2005.01548.x
Subject(s) - vortex , breather , mathematics , compressibility , compressible flow , transformation (genetics) , type (biology) , action (physics) , reciprocal , gas dynamics , flow (mathematics) , class (philosophy) , mathematical analysis , physics , classical mechanics , mechanics , geometry , computer science , nonlinear system , geology , chemistry , quantum mechanics , paleontology , biochemistry , linguistics , philosophy , gene , artificial intelligence
Hydrodynamic vortex street solutions are generated based on an elliptic Tzitzéica model. A multiparameter class of reciprocal transformations is coupled with the action of a Bäcklund transformation to construct compressible vortex solutions of breather type valid in subsonic flow régimes of a generalized Kármán–Tsien gas.