Long-time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited

@inproceedings{Krger2009LongtimeAO,
  title={Long-time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited},
  author={Helge Kr{\"u}ger},
  year={2009}
}
The purpose of this article is to give a streamlined and selfcontained treatment of the long-time asymptotics of the Toda lattice for decaying initial data in the soliton and in the similarity region via the method of nonlinear steepest descent. 
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References

Publications referenced by this paper.
Showing 1-10 of 43 references

Soliton Equations and Their Algebro- Geometric Solutions

  • F. Gesztesy, H. Holden, J. Michor, G. Teschl
  • Volume II: (1+1)-Dimensional Discrete Models…
  • 2008
Highly Influential
16 Excerpts

Orthogonal Polynomials and Random Matrices: A Riemann–Hilbert Approach

  • P. Deift
  • Courant Lecture Notes 3, Amer. Math. Soc., Rhode…
  • 1998
Highly Influential
18 Excerpts

On the Toda shock problem

  • S. Kamvissis
  • Physica D 65, 242–266
  • 1993
Highly Influential
13 Excerpts

Interaction of solitons in a collisionless plasma and the recurrence of initial states

  • N. J. Zabusky, M. D. Kruskal
  • Phys. Rev. Lett. 15, 240–243
  • 1963
Highly Influential
6 Excerpts

The Toda rarefaction problem

  • P. Deift, S. Kamvissis, T. Kriecherbauer, X. Zhou
  • Comm. Pure Appl. Math. 49, no. 1, 35–83
  • 1996
Highly Influential
5 Excerpts

Forced lattice vibrations

  • P. Deift, T. Kriecherbauer, S. Venakides
  • I, II, Comm. Pure Appl. Math. 48:11, 1187–1249…
  • 1995
Highly Influential
5 Excerpts

A

  • P. A. Deift, A. R. Its
  • R., and X. Zhou, Long-time asymptotics for…
  • 1993
Highly Influential
12 Excerpts

On the long time behavior of the doubly infinite Toda lattice under initial data decaying at infinity

  • S. Kamvissis
  • Comm. Math. Phys., 153-3, 479–519
  • 1993
Highly Influential
6 Excerpts

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