Stability of the Periodic Toda Lattice in the Soliton Region

Details Stability of the Periodic Toda Lattice in the Soliton Region Stability of the Periodic Toda Lattice in the Soliton Region

2008-07-01

arxiv.org/abs/0807.0244v2

Int. Math. Res. Not. 2009, Art. ID rnp077, 36 pp (2009)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

28 pages

Scientific paper

10.1093/imrn/rnp077

We apply the method of nonlinear steepest descent to compute the long-time
asymptotics of the periodic (and slightly more generally of the quasi-periodic
finite-gap) Toda lattice for decaying initial data in the soliton region. In
addition, we show how to reduce the problem in the remaining region to the
known case without solitons.

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