Nonautonomous superposed Akhmediev breather in water waves

Chen, Wei-Lu; Dai, Chao-Qing; Zhao, Lan

doi:10.1016/j.compfluid.2013.12.017

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Cited by 6 publications

(2 citation statements)

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“…Exact rogue wave solutions found for many integrable models vary in shapes [5,6,7,8,9,10,11]. Unusual double-peak profiles are found for the Sasa-Satsuma equation (SSE) [12].…”

Section: Introductionmentioning

confidence: 99%

Rogue wave spectra of the Sasa–Satsuma equation

Akhmediev

Soto-Crespo

Devine

et al. 2015

Physica D: Nonlinear Phenomena

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“…Exact rogue wave solutions found for many integrable models vary in shapes [5,6,7,8,9,10,11]. Unusual double-peak profiles are found for the Sasa-Satsuma equation (SSE) [12].…”

Section: Introductionmentioning

confidence: 99%

Rogue wave spectra of the Sasa–Satsuma equation

Akhmediev

Soto-Crespo

Devine

et al. 2015

Physica D: Nonlinear Phenomena

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“…As one of research focus, dynamical behaviors of rogue waves (RWs) [8] were intensively studied in different domains of physics, especially in fluid dynamics [9], nonlinear optical systems [10] and plasmas [11].…”

mentioning

confidence: 99%

Controllable behaviors of Peregrine soliton with two peaks in a birefringent fiber with higher-order effects

Han

et al. 2015

Nonlinear Dyn

Self Cite

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A coupled variable-coefficient higher-order nonlinear Schrödinger equation in birefringent fiber is discussed, and an analytical Peregrine soliton solution with two peaks is derived by means of the Darboux transformation method. The controllable behaviors of this Peregrine soliton with two peaks are investigated in a periodic dispersion system and a dispersion decreasing fiber with exponential profile. In these systems, the effective propagation distance Z appears a maximum Z m . Comparing this maximum with values of peak location Z p , the initial excitation, peak excitation, rear excitation and periodic excitation are constructed.

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