English

A five-dimensional solitary-wave first order nonlinear PDE integrable by dressing method

Exactly Solvable and Integrable Systems 2015-11-17 v1

Abstract

We derive a five-dimensional nonlinear first order matrix PDE which is a generalization of the completely integrable (2+1)-dimensional NN-wave equation. Similar to the ˉ\bar\partial-problem, our algorithm is based on the linear integral equation of special form.

Keywords

Cite

@article{arxiv.1511.04554,
  title  = {A five-dimensional solitary-wave first order nonlinear PDE integrable by dressing method},
  author = {A. I. Zenchuk},
  journal= {arXiv preprint arXiv:1511.04554},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T11:45:13.112Z