On the integrability conditions for some structures related to evolution differential equations
微分几何
2007-05-23 v2 高能物理 - 理论
数学物理
偏微分方程分析
math.MP
可精确求解与可积系统
摘要
Using the result by D.Gessler (Differential Geom. Appl. 7 (1997) 303-324, DIPS-9/98, http://diffiety.ac.ru/preprint/98/09_98abs.htm), we show that any invariant variational bivector (resp., variational 2-form) on an evolution equation with nondegenerate right-hand side is Hamiltonian (resp., symplectic).
引用
@article{arxiv.math/0310451,
title = {On the integrability conditions for some structures related to evolution differential equations},
author = {Paul Kersten and Iosif Krasil'shchik and Alexander Verbovetsky},
journal= {arXiv preprint arXiv:math/0310451},
year = {2007}
}
备注
5 pages, AMS-LaTeX. v2: minor corrections