Benney's long wave equations. II: Lax representation and conservation laws

DOI10.1007/BF01094439zbMath0562.35086OpenAlexW2029735235WikidataQ114852688 ScholiaQ114852688MaRDI QIDQ1056841

J. Blot

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01094439

zbMATH Keywords

long wave equationsmomentum equationsLie algebra of Hamiltonian vector fields

Mathematics Subject Classification ID

Hamilton's equations (70H05) Wave equation (35L05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (6)

Hamiltonian structures of reductions of the Benney system ⋮ A new scheme of integrability for (bi)Hamiltonian PDE ⋮ On the waterbag continuum ⋮ Hidden symmetries of long waves ⋮ The classical shallow water equations: symplectic geometry ⋮ A strongly coupled extended Toda hierarchy and its Virasoro symmetry

Cites Work

• Unnamed Item
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Some Properties of Long Nonlinear Waves

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