Localized induction equation, Heisenberg chain, and nonlinear Schrodinger equation
solv-int
2008-02-03 v1 可精确求解与可积系统
摘要
The three equations named in the title are examples of infinite-dimensional completely integrable Hamiltonian systems, and are related to each other via simple geometric constructions. In this paper, these interrelationships are further explained in terms of the recursion operator for the Localized Induction Equation, and the recursion operator is seen to play a variety of roles in key geometric variational formulas.
引用
@article{arxiv.solv-int/9404001,
title = {Localized induction equation, Heisenberg chain, and nonlinear Schrodinger equation},
author = {Joel Langer and Ron Perline},
journal= {arXiv preprint arXiv:solv-int/9404001},
year = {2008}
}
备注
9 pages, AMSTeX. To appear in Mechanics Day Proceedings, Fields Institute, June 1992