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

Authors

A. K. Prykarpatsky, Institute for Applied Problems in Mechanics and Mathematics(IAPMM)
O. E. Hentosh, Institute for Applied Problems in Mechanics and Mathematics(IAPMM)
D. L. Blackmore, New Jersey Institute of Technology

Document Type

Article

Publication Date

1-1-1997

Abstract

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. © 1997 Taylor & Francis Group, LLC.

Identifier

33748579782 (Scopus)

Publication Title

Journal of Nonlinear Mathematical Physics

External Full Text Location

https://doi.org/10.2991/jnmp.1997.4.3-4.21

e-ISSN

17760852

ISSN

14029251

First Page

455

Last Page

469

Issue

3-4

Volume

4

Recommended Citation

Prykarpatsky, A. K.; Hentosh, O. E.; and Blackmore, D. L., "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" (1997). Faculty Publications. 16827.
https://digitalcommons.njit.edu/fac_pubs/16827