On the Integrable Chaplygin Type Hydrodynamic Systems and Their Geometric Structure
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A 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.
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2013 ◽
Vol 35
(1)
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pp. 192-214
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2002 ◽
Vol 3
(1)
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pp. 93-121
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1971 ◽
Vol 6
(3)
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pp. 263-282
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2015 ◽
Vol 25
(4)
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pp. 815-826
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2011 ◽
Vol 20
(01)
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pp. 55-61
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2018 ◽
Vol 70
(3)
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pp. 467-476
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