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

A.K. Prykarpatsky, O.E. Hentosh, D.L. Blackmore
1997 Journal of Nonlinear Mathematical Physics  
The Moser type reductions of modified Boussinessq and super-Korteweg-de Vries equations upon the finite-dimensional invariant subspaces of solutions are considered. For the Hamiltonian and Liouville integrable finite-dimensional dynamical systems concerned with the invariant subspaces, the Lax representations via the dual moment maps into some deformed loop algebras and the finite hierarchies of conservation laws are obtained. A supergeneralization of the Neumann dynamical system is presented.
doi:10.2991/jnmp.1997.4.3-4.21 fatcat:5mdz43suhjburfktaxuh4d6pmu