A new hierarchy of Lax and Liouville integrable evolution equations associated with an isospectral problem in the loop algebra \(\tilde A _{2}\)
DOI10.1007/s11424-006-0301-3zbMath1130.37388OpenAlexW2160353679MaRDI QIDQ882516
Publication date: 24 May 2007
Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11424-006-0301-3
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Algebraic methods (93B25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Cites Work
- Mathematics of dispersive water waves
- On Liouville integrability of zero-curvature equations and the Yang hierarchy
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- An approach to generate superextensions of integrable systems
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