The Finite-Dimensional Moser Type Reduction of Modified Boussinesq and Super-Korteweg-de Vries Hamiltonian Systems via the Gradient-Holonomic Algorithm and Dual Moment Maps. Part I

DOI10.2991/jnmp.1997.4.3-4.21zbMath0952.37024OpenAlexW2118874090MaRDI QIDQ4497793

Anatoliy K. Prykarpatsky, Oksana E. Hentosh, D. L. Blackmore

Publication date: 23 August 2000

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.1997.4.3-4.21

zbMATH Keywords

Boussinesq equation KdV equation Lax representation Neumann dynamical system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (7)

The Bargmann type reduction for some Lax integrable two-dimensional generalization of the relativistic Toda lattice ⋮ A geometrical approach to quantum holonomic computing algorithms ⋮ Lax-type flows on Grassmann manifolds and dual momentum mappings ⋮ Hamiltonian finite-dimensional oscillator-type reductions of Lax-integrable superconformal hierarchies ⋮ Bargmann-type finite-dimensional reductions of the Lax-integrable supersymmetric Boussinesq hierarchy and their integrability ⋮ A Darboux transformation of the \(\mathrm{sl}(2| 1)\) super KdV hierarchy and a super lattice potential KdV equation ⋮ Integrable fermionic extensions of the Garnier system and the anharmonic oscillator

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