English

High-order rogue waves for the Hirota equation

Exactly Solvable and Integrable Systems 2015-06-15 v1 Mathematical Physics math.MP

Abstract

The Hirota equation is better than the nonlinear Schr\"{o}dinger equation when approximating deep ocean waves. In this paper, high-order rational solutions for the Hirota equation are constructed based on the parameterized Darboux transformation. Several types of this kind of solutions are classified by their structures.

Keywords

Cite

@article{arxiv.1304.7164,
  title  = {High-order rogue waves for the Hirota equation},
  author = {Linjing Li and Zhiwei Wu and Lihong Wang and Jingsong He},
  journal= {arXiv preprint arXiv:1304.7164},
  year   = {2015}
}

Comments

14 pages, 5 figures

R2 v1 2026-06-22T00:06:56.352Z