Integrable nonlinear equations on a circle

Details Integrable nonlinear equations on a circle Integrable nonlinear equations on a circle

2007-06-04

arxiv.org/abs/0706.0401v2

J. Math. Phys. 48, no. 10, (2007), 102702

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages

Scientific paper

10.1063/1.2799256

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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