English

The Kundu--Eckhaus equation and its discretizations

Exactly Solvable and Integrable Systems 2015-05-13 v1 Pattern Formation and Solitons

Abstract

In this article we show that the complex Burgers and the Kundu--Eckhaus equations are related by a Miura transformation. We use this relation to discretize the Kundu--Eckhaus equation.

Cite

@article{arxiv.0904.4844,
  title  = {The Kundu--Eckhaus equation and its discretizations},
  author = {Decio Levi and Christian Scimiterna},
  journal= {arXiv preprint arXiv:0904.4844},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-21T12:56:55.222Z