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Long-time asymptotics for the defocusing integrable discrete nonlinear Schr\"odinger equation

Mathematical Physics 2018-12-13 v2 Analysis of PDEs math.MP

Abstract

We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schr\"odinger equation by means of the Deift-Zhou nonlinear steepest descent method. The leading term is a sum of two terms that oscillate with decay of order t1/2t^{-1/2}.

Keywords

Cite

@article{arxiv.1112.0919,
  title  = {Long-time asymptotics for the defocusing integrable discrete nonlinear Schr\"odinger equation},
  author = {Hideshi Yamane},
  journal= {arXiv preprint arXiv:1112.0919},
  year   = {2018}
}

Comments

36 pages, 6 figures

R2 v1 2026-06-21T19:46:19.040Z