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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

118 Scopus citations

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.

Original language	English
Pages (from-to)	434-442
Number of pages	9
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	20
Issue number	2
DOIs	https://doi.org/10.1016/j.cnsns.2014.06.012
State	Published - Feb 2015

Keywords

AB system
Generalized Darboux transformation
Rogue wave

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10.1016/j.cnsns.2014.06.012

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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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author = "Xin Wang and Yuqi Li and Fei Huang and Yong Chen",

year = "2015",

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T1 - Rogue wave solutions of AB system

AU - Wang, Xin

AU - Li, Yuqi

AU - Huang, Fei

AU - Chen, Yong

PY - 2015/2

Y1 - 2015/2

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

SN - 1007-5704

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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Keywords

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