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
- 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.
- 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 - Maxim Pavlov PY - 2002 DA - 2002/02/01 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 - 10.2991/jnmp.2002.9.s1.15 ID - Pavlov2002 ER -