Volume 9, Issue Supplement 1, February 2002, Pages 173 - 191
Integrable Systems and Metrics of Constant Curvature
Received 21 May 2001, Revised 23 June 2001, Accepted 30 June 2001, Available Online 1 February 2002.
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- 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.
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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 -