Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data

Iryna Egorova; Zoya Gladka; Volodymyr Kotlyarov; Gerald Teschl

doi:10.1088/0951-7715/26/7/1839

Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data

Exactly Solvable and Integrable Systems 2013-06-11 v2 Analysis of PDEs

Authors: Iryna Egorova , Zoya Gladka , Volodymyr Kotlyarov , Gerald Teschl

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Abstract

We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg-de Vries equation with steplike initial data.

Keywords

asymptotic analysis

Cite

@article{arxiv.1210.7434,
  title  = {Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data},
  author = {Iryna Egorova and Zoya Gladka and Volodymyr Kotlyarov and Gerald Teschl},
  journal= {arXiv preprint arXiv:1210.7434},
  year   = {2013}
}