Open AccessControllable Akhmediev breather and Kuznetsov-Ma soliton trains in đť’«đť’Ż -symmetric coupled waveguides
Author(s) -
Chao-Qing Dai,
Yueyue Wang,
Xiaofei Zhang
Publication year - 2014
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.22.029862
Subject(s) - breather , soliton , antisymmetric relation , physics , diffraction , train , nonlinear schrödinger equation , nonlinear system , transformation (genetics) , optics , quantum mechanics , mathematical physics , chemistry , biochemistry , cartography , gene , geography
The PT-symmetric and PT-antisymmetric Akhmediev breather (AB) and Kuznetsov-Ma (KM) soliton train solutions of a (2+1)-dimensional variable-coefficient coupled nonlinear Schrödinger equation in PT-symmetric coupled waveguides with gain and loss are derived via the Darboux transformation method. From these analytical solutions, we investigate the controllable behaviors of AB and KM soliton trains in a diffraction decreasing system with exponential profile. By adjusting the relation between the maximum Zm of effective propagation distance and the peak locations Zi of AB and KM soliton trains, we can control the restraint, maintenance and postpone excitations of AB and KM soliton trains.