2013/12/23 by Xin Wang, Yuqi Li, Wang, Xin +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1312.6479
9 pages, 8 figures
arxiv created 2013/12/23 · openalex publication_date 2013/12/23 · arxiv updated 2013/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, the generalized Darboux transformation is established to the AB system, which mainly describes marginally unstable baroclinic wave packets in geophysical fluids and ultra-short pulses in nonlinear optics. We find a unified formula of Nth-order rogue wave solution for the AB system by the direct iterative rule. In particular, rogue waves possessing several free parameters from first to second order are calculated. The dynamics and some interesting structures of the rogue waves are illustrated through some figures.