Construction of Nth-order rogue wave solutions for Hirota equation by means of bilinear method

2014/09/23 by Gui Mu, Mu, Gui, Zhenyun Qin +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS) #nlin.PS #nlin.SI

paper · pdf · doi:10.48550/arxiv.1409.6403

10 pages, 2 figures

arxiv created 2014/09/23 · openalex publication_date 2014/09/23 · arxiv updated 2014/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we focus on the construction of Nth-rouge wave solutions for the Hirota equation by utilizing the bilinear method. The formula can be represented in terms of determinants. In addition, some interesting dynamic patterns of rogue waves are exhibited.

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