In this Note we study stable solutions of the finite non-periodic (A n-type) Toda lattice. Solutions of the A n-type Toda lattice are obtained by Gauss decomposition. Such solutions are unstable because the Gauss decomposition brings singularities. We obtain stable solutions which are entire functions on R as the soliton solutions by modified Gauss decomposition.
ASJC Scopus subject areas
- 数学 (全般)