A new construction of recursion operators for systems of hydrodynamic type

DOI10.1007/BF02551167zbMath0996.35049MaRDI QIDQ1586694

T. B. Gürel, Allan P. Fordy

Publication date: 23 November 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

wave equationrecursion operatorsystems of hydrodynamic types

Mathematics Subject Classification ID

Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99) Hydrodynamic stability (76E99) Euler-Poisson-Darboux equations (35Q05)

Cites Work

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• On the infinite-dimensional noncommutative Lie-Bäcklund algebra associated with the equations of one-dimensional gas dynamics
• Quasiclassical limit of coupled KdV equations. Riemann invariants and multi-Hamiltonian structure
• Separable Hamiltonians and integrable systems of hydrodynamic type
• The Hamiltonian structure of the dispersionless Toda hierarchy
• Reductions of the Benney equations.
• Integrability, Stäckel spaces, and rational potentials
• THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD

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