Journal of Nonlinear Mathematical Physics

Volume 4, Issue 3-4, September 1997, Pages 455 - 469

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, O.E. Hentosh, D.L. Blackmore
Corresponding Author
A.K. Prykarpatsky
Available Online 1 September 1997.
DOI
10.2991/jnmp.1997.4.3-4.21How to use a DOI?
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.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
4 - 3-4
Pages
455 - 469
Publication Date
1997/09/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1997.4.3-4.21How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - A.K. Prykarpatsky
AU  - O.E. Hentosh
AU  - D.L. Blackmore
PY  - 1997
DA  - 1997/09/01
TI  - 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
JO  - Journal of Nonlinear Mathematical Physics
SP  - 455
EP  - 469
VL  - 4
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.3-4.21
DO  - 10.2991/jnmp.1997.4.3-4.21
ID  - Prykarpatsky1997
ER  -