Journal of Nonlinear Mathematical Physics

Volume 9, Issue Supplement 1, February 2002, Pages 173 - 191

Integrable Systems and Metrics of Constant Curvature

Authors
Maxim Pavlov
Corresponding Author
Maxim Pavlov
Received 21 May 2001, Revised 23 June 2001, Accepted 30 June 2001, Available Online 1 February 2002.
DOI
https://doi.org/10.2991/jnmp.2002.9.s1.15How to use a DOI?
Abstract
In this article we present a Lagrangian representation for evolutionary systems with a Hamiltonian structure determined by a differential-geometric Poisson bracket of the first order associated with metrics of constant curvature. Kaup-Boussinesq system has three local Hamiltonian structures and one nonlocal Hamiltonian structure associated with metric of constant curvature. Darboux theorem (reducing Hamiltonian structures to canonical form "d/dx" by differential substitutions and reciprocal transformations) for these Hamiltonian structures is proved.
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - Supplement 1
Pages
173 - 191
Publication Date
2002/02
ISBN
91-631-2120-4
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2002.9.s1.15How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Maxim Pavlov
PY  - 2002
DA  - 2002/02
TI  - Integrable Systems and Metrics of Constant Curvature
JO  - Journal of Nonlinear Mathematical Physics
SP  - 173
EP  - 191
VL  - 9
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2002.9.s1.15
DO  - https://doi.org/10.2991/jnmp.2002.9.s1.15
ID  - Pavlov2002
ER  -