Rogue wave solutions of AB system

Xin Wang; Yuqi Li; Fei Huang; Yong Chen

doi:10.1016/j.cnsns.2014.06.012

Rogue wave solutions of AB system

Xin Wang
, Yuqi Li
, Fei Huang
, Yong Chen^*

^*此作品的通讯作者

数学科学学院

East China Normal University
Ocean University of China

科研成果: 期刊稿件 › 文章 › 同行评审

119 引用（Scopus）

摘要

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. A unified formula of Nth-order rogue wave solution for the AB system is found by the direct iterative rule. In particular, rogue wave solutions possessing several free parameters from first to second order are calculated. The dynamic properties of rogue waves in the AB system are shown through some figures.

源语言	英语
页（从-至）	434-442
页数	9
期刊	Communications in Nonlinear Science and Numerical Simulation
卷	20
期	2
DOI	https://doi.org/10.1016/j.cnsns.2014.06.012
出版状态	已出版 - 2月 2015

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title = "Rogue wave solutions of AB system",

abstract = "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. A unified formula of Nth-order rogue wave solution for the AB system is found by the direct iterative rule. In particular, rogue wave solutions possessing several free parameters from first to second order are calculated. The dynamic properties of rogue waves in the AB system are shown through some figures.",

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AU - Wang, Xin

AU - Li, Yuqi

AU - Huang, Fei

AU - Chen, Yong

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N2 - 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. A unified formula of Nth-order rogue wave solution for the AB system is found by the direct iterative rule. In particular, rogue wave solutions possessing several free parameters from first to second order are calculated. The dynamic properties of rogue waves in the AB system are shown through some figures.

AB - 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. A unified formula of Nth-order rogue wave solution for the AB system is found by the direct iterative rule. In particular, rogue wave solutions possessing several free parameters from first to second order are calculated. The dynamic properties of rogue waves in the AB system are shown through some figures.

KW - AB system

KW - Generalized Darboux transformation

KW - Rogue wave

UR - https://www.scopus.com/pages/publications/84906785879

U2 - 10.1016/j.cnsns.2014.06.012

DO - 10.1016/j.cnsns.2014.06.012

M3 - 文章

AN - SCOPUS:84906785879

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VL - 20

SP - 434

EP - 442

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 2

ER -

Rogue wave solutions of AB system

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