The calculus of jets and nonlinear Hamiltonian systems

DOI10.1007/BF01076250zbMath0405.58027OpenAlexW1985444971MaRDI QIDQ1257267

Israel M. Gel'fand, L. A. Dickey

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf01076250

zbMATH Keywords

Calculus of JetsNonlinear Hamiltonian Systems

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

The Riccati equation and Hamiltonian systems, Integrability analysis of a two-component Burgers-type hierarchy, Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type, Higher-order heat equation and the Gelfand-Dickey hierarchy, Rational parametrisation of normalised Stiefel manifolds, and explicit non-'t Hooft solutions of the Atiyah-Drinfeld-HitchinManin instanton matrix equations for Sp(n), Parabolic regularization of the gradient catastrophes for the Burgers–Hopf equation and Jordan chain, A description of instantons, Hamiltonian structure of M. Sato's hierarchy of Kadomtsev-Petviashvili equation, Dark Equations and Their Light Integrability, A construction of the jet of the resolvent

Cites Work

• Indicators of an entire function and the regularity of the growth of the Fourier coefficients of the logarithm of its modulus
• Differential equations for the Baker-Akhiezer functions of algebraic curves