A generating function proof of the commutativity of certain Hamiltonian isospectral flows

DOI10.1007/BF00398964zbMath0676.58048OpenAlexW1998254047MaRDI QIDQ1122853

J. Harnad, Malcolm R. Adams

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00398964

zbMATH Keywords

nonlinear partial differential equationsBoussinesq equationsHamiltonian flowsnonlinear SchrödingerKorteweg-de Vries

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

Harmonics on hyperspheres, separation of variables and the Bethe ansatz

Cites Work

• The solution to a generalized Toda lattice and representation theory
• Systems of Toda type, inverse spectral problems, and representation theory
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Hill’s surfaces and their theta functions

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