Integrable nonlinear equations on a circle
Exactly Solvable and Integrable Systems
2009-11-13 v2
Abstract
The concept of integrable boundary value problems for soliton equations on and is extended to bounded regions enclosed by smooth curves. Classes of integrable boundary conditions on a circle for the Toda lattice and its reductions are found.
Cite
@article{arxiv.0706.0401,
title = {Integrable nonlinear equations on a circle},
author = {Metin Gurses and Ismagil Habibullin and Kostyantyn Zheltukhin},
journal= {arXiv preprint arXiv:0706.0401},
year = {2009}
}