On the integrability problem of a continuous Toda system
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Publication:1326808
DOI10.1007/BF01017079zbMath0797.58036MaRDI QIDQ1326808
Publication date: 13 July 1994
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items (7)
Unlocking the axion-dilaton in 5D supergravity ⋮ Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system ⋮ The generalized Moyal–Nahm and continuous Moyal–Toda equations ⋮ Algebraic-geometrical methods in the theory of integrable equations and their perturbations ⋮ The Hamiltonian structure of the dispersionless Toda hierarchy ⋮ Affine Toda systems coupled to matter fields ⋮ \(D=11\) supermembrane instantons, \(W_ \infty\) strings and the super Toda molecule.
Cites Work
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- Continuum analogues of contragredient Lie algebras. (Lie algebras with a Cartan operator and nonlinear dynamical systems)
- Stationary Riemannian space-times with self-dual curvature
- Theory of group representations and integration of nonlinear systems \(x_{a, z\overline{z}}=\exp(kx)_{a}\)
- Integro-differential nonlinear equations and continual Lie algebras
- Monopoles and geodesics
- Solution of the Cauchy problem for a continuous limit of the Toda lattice and its superextension
- Exactly and completely integrable nonlinear dynamical systems
- Minitwistor spaces and Einstein-Weyl spaces
- Connected sums of self-dual manifolds and deformations of singular spaces
- Killing vectors in self-dual, Euclidean Einstein spaces
- Multi-Hamiltonian structure of equations of hydrodynamic type
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