Benney's long waves equations: Hamiltonian formalism

DOI10.1007/BF00401929zbMath0415.35068OpenAlexW2078061354MaRDI QIDQ600016

Sumit K. Garg

Publication date: 1979

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00401929

zbMATH Keywords

Benney's momentum equationsLie algebra of Hamiltonian plane vector fieldslong waves equations

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 (10)

Hydrodynamic chains and the classification of their Poisson brackets ⋮ Unnamed Item ⋮ Hamiltonian operators and infinite-dimensional Lie algebras ⋮ A new infinite-dimensional Kirillov's structure related with nonlinear evolution equations ⋮ On dual spaces of differential Lie algebras ⋮ Vlasov moments, integrable systems and singular solutions ⋮ Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket ⋮ Hidden symmetries of long waves ⋮ The classical shallow water equations: symplectic geometry ⋮ An effective algorithm for finding multidimensional conservation laws for integrable systems of hydrodynamic type

Cites Work

• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Differential groups and formal Lie theory for an infinite number of parameters
• Unnamed Item

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