Specializations of integrable systems and affine Lie algebras
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Publication:3334672
DOI10.1063/1.526197zbMath0545.58028OpenAlexW2084248207MaRDI QIDQ3334672
Publication date: 1984
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526197
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie (super)algebras (17B65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)
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Cites Work
- The reduction problem and the inverse scattering method
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Modifying Lax equations and the second Hamiltonian structure
- On the Bäcklund transformation for the Gel'fand-Dickey equations
- Conservation laws and symmetries of generalized sine-Gordon equations
- Two-dimensional generalized Toda lattice
- Commuting flows and conservation laws for Lax equations
- Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform
- The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
- The Riccati equation and Hamiltonian systems
- Singular symmetries of integrable curves and surfaces