Long-Time Asymptotics for the Toda Lattice in the Soliton Region

Details Long-Time Asymptotics for the Toda Lattice in the Soliton Region Long-Time Asymptotics for the Toda Lattice in the Soliton Region

2007-11-18

arxiv.org/abs/0711.2793v4

Math. Z. 262, 585-602 (2009)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages

Scientific paper

10.1007/s00209-008-0391-9

We apply the method of nonlinear steepest descent to compute the long-time
asymptotics of the Toda lattice for decaying initial data in the soliton
region. In addition, we point out how to reduce the problem in the remaining
region to the known case without solitons.

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