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arxiv: 0706.0401 · v2 · submitted 2007-06-04 · 🌊 nlin.SI

Integrable nonlinear equations on a circle

classification 🌊 nlin.SI
keywords integrableboundarycircleequationsmathbbboundedclassesconcept
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The concept of integrable boundary value problems for soliton equations on $\mathbb{R}$ and $\mathbb{R}_+$ 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.

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