High-order rogue waves for the Hirota equation
Linjing Li, Zhiwei Wu, Lihong Wang, Jingsong He
TL;DR
This paper constructs high-order rational solutions for the Hirota equation using Darboux transformation, classifying various solution structures, which enhances understanding of deep ocean wave modeling.
Contribution
It introduces a method to generate and classify high-order rational solutions for the Hirota equation, advancing analytical wave solution techniques.
Findings
Multiple types of high-order solutions classified by structure
Enhanced modeling of deep ocean waves
Methodology applicable to other integrable systems
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.
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