TY - JOUR
T1 - On stable solutions of the finite non-periodic Toda lattice
AU - Ikeda, Kaoru
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/11
Y1 - 2012/11
N2 - 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.
AB - 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.
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U2 - 10.1016/j.crma.2012.10.020
DO - 10.1016/j.crma.2012.10.020
M3 - Article
AN - SCOPUS:84870064546
VL - 350
SP - 985
EP - 989
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
SN - 1631-073X
IS - 21-22
ER -