Rational factorization of Hamiltonian flows in the space dual to the Lie algebra of fractional integrodifferential operators and Benney-type integrable hydrodynamic systems
DOI10.1007/S10958-024-07016-0zbMATH Open1542.35314MaRDI QIDQ6564099
A. K. Prykarpats'kyi, O. E. Hentosh
Publication date: 28 June 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Fractional derivatives and integrals (26A33) Applications of Lie algebras and superalgebras to integrable systems (17B80) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Liquid-liquid two component flows (76T06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)
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