Toda Lattice Models with Boundary

Abstract

We consider the soliton solutions in 1- and (1+1)-dimensional Toda lattice models with a boundary. We make use of the solutions already known on a full line by means of the Hirota's method. We explicitly construct the solutions satisfying the boundary conditions. The ${\mathbf{Z}}_{\infty }$-symmetric boundary condition can be introduced by the two-soliton solutions naturally.

9 pages, latex, no figures

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