On the Integrable Chaplygin Type Hydrodynamic Systems and Their Geometric Structure
Yarema A. Prykarpatskyy
AbstractA class of spatially one-dimensional completely integrable Chaplygin hydrodynamic systems was studied within framework of Lie-algebraic approach. The Chaplygin hydrodynamic systems were considered as differential systems on the torus. It has been shown that the geometric structure of the systems under analysis has strong relationship with diffeomorphism group orbits on them. It has allowed to find a new infinite hierarchy of integrable Chaplygin like hydrodynamic systems.
|Journal series||Symmetry-Basel, [Symmetry], ISSN 2073-8994, (N/A 70 pkt)|
|Publication size in sheets||0.5|
|Keywords in English||Lax-Sato compatibility equations; Chaplygin type hydrodynamical equations; Casimir invariants; torus diffeomorphisms; loop Lie algebra; Lie-Poisson structure|
|ASJC Classification||; ; ;|
|License||Journal (articles only); author's original; ; after publication|
|Publication indicators||: 2016 = 0.64; : 2018 = 2.143 (2) - 2018=2.041 (5)|
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