Hamiltonians and zero-curvature equations for integrable partial differential equations
DOI10.1063/1.1312197zbMath1063.37542OpenAlexW2000292448MaRDI QIDQ2774655
Saša Krešić-Jurić, Malcolm R. Adams
Publication date: 26 February 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1312197
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear first-order PDEs (35F20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
Cites Work
- On the method of Symes for integrating systems of the Toda type
- Loop groups and equations of KdV type
- Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
- Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras
- 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
- Partitions, vertex operator constructions and multi-component KP equations
- A loop group approach to the C. Neumann problem and Moser–Veselov factorization
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