Open AccessRogue solution of Hirota equation and its transmision
Author(s) -
Shuqing Liu,
Yang Guang-Ye,
Lü Li
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.104215
Subject(s) - rogue wave , breather , integrable system , physics , perturbation (astronomy) , frequency shift , gaussian , soliton , fourier transform , quantum mechanics , quantum electrodynamics , mathematical analysis , mathematical physics , optics , mathematics , nonlinear system
A breather soliton solution of the higher-order Hirota equation is given under the integrable condition, and the rogue solution of Hirota equation is obtained on the basis of the breather soliton solutions, which is helpful to understand the characteristics and the physical reason of rogue wave. The excitation of rogue wave is studied by a cw and periodic perturbation or a Gaussian type perturbation. As an example, by distribution Fourier method, the transmission characteristics of rogue wave is studied with considering the frequency shift and the Raman gain, and the effects of the frequency shift and Raman gain on the interaction between rogue waves are also analyzed.