paper

High-order rogue waves for the Hirota equation

arXiv:1304.7164 · doi:10.1016/j.aop.2013.04.004

Abstract

The Hirota equation is better than the nonlinear Schrödinger 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.

14 pages, 5 figures