Integration of Hamiltonian systems of hydrodynamic type with two dependent variables with the aid of the Lie-Bäcklund group

DOI10.1007/BF01078475zbMath0635.76001WikidataQ115394270 ScholiaQ115394270MaRDI QIDQ1097774

Mikhail B. Sheftel

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

generating functionsconstruction of infinite series of commuting Hamiltoniansinfinite nontrivial Lie-Bäcklund groupLax operator representationmatrix integral operatorone- parameter Lie-Bäcklund groups

Mathematics Subject Classification ID

Hamilton's equations (70H05) Foundations of fluid mechanics (76A02)

Related Items (4)

Hamiltonian structures for systems of hyperbolic conservation laws ⋮ Diagonalization and Hamiltonian structures of hyperbolic systems ⋮ Multi-Hamiltonian structure of the Born–Infeld equation ⋮ Multi-Hamiltonian structure of equations of hydrodynamic type

Cites Work

• Evolutionary equations with nontrivial Lie-Bäcklund group
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