2005/07/27 by Alexey V. Borisov, А. В. Борисов, Borisov, Alexey V. +3
Engineering · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Quantum chaos and dynamical systems #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0507060
19 pages, 4 figures
arxiv created 2005/07/27 · openalex publication_date 2005/07/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Equations of motion of vortex sources (examined earlier by Fridman and Polubarinova) are studied, and the problems of their being Hamiltonian and integrable are discussed. A system of two vortex sources and three sources-sinks was examined. Their behavior was found to be regular. Qualitative analysis of this system was made, and the class of Liouville integrable systems is considered. Particular solutions analogous to the homothetic configurations in celestial mechanics are given.