TY - JOUR

T1 - Controllable mechanism of breathers in the (2 + 1) -dimensional nonlinear Schrödinger equation with different forms of distributed transverse diffraction

AU - Dai, Chao Qing

AU - Huang, Wen Hua

PY - 2014/3/14

Y1 - 2014/3/14

N2 - We study the (2+1)-dimensional nonlinear Schrödinger equation with different forms of distributed transverse diffraction in anisotropic graded-index grating waveguides, and obtain an exact two-breather solution for certain functional relations. From this solution, both Akhmediev breathers and Kuznetsov-Ma solitons can be constructed. A mechanism for controlling these localized solutions is presented. Two different transverse forms of diffraction and chirp factors play important roles in the evolutional characteristics such as phase, center and widths, while the gain/loss parameter only affects the evolution of their peaks. The propagation type of Akhmediev breathers and Kuznetsov-Ma solitons is determined by the relation between the maximum effective propagation distance, Zm, and the effective propagation distance, Z0, based on the center of the breathers. By adjusting this relation, partial excitation, maintenance and limitation of superposed Akhmediev breathers and Kuznetsov-Ma solitons are investigated for a waveguide with decreasing exponential diffraction.

AB - We study the (2+1)-dimensional nonlinear Schrödinger equation with different forms of distributed transverse diffraction in anisotropic graded-index grating waveguides, and obtain an exact two-breather solution for certain functional relations. From this solution, both Akhmediev breathers and Kuznetsov-Ma solitons can be constructed. A mechanism for controlling these localized solutions is presented. Two different transverse forms of diffraction and chirp factors play important roles in the evolutional characteristics such as phase, center and widths, while the gain/loss parameter only affects the evolution of their peaks. The propagation type of Akhmediev breathers and Kuznetsov-Ma solitons is determined by the relation between the maximum effective propagation distance, Zm, and the effective propagation distance, Z0, based on the center of the breathers. By adjusting this relation, partial excitation, maintenance and limitation of superposed Akhmediev breathers and Kuznetsov-Ma solitons are investigated for a waveguide with decreasing exponential diffraction.

KW - Akhmediev breather

KW - Controllable mechanism

KW - Kuznetsov-Ma soliton

KW - Nonlinear Schrödinger equation

UR - http://www.scopus.com/inward/record.url?scp=84897022979&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2014.02.025

DO - 10.1016/j.physleta.2014.02.025

M3 - Article

SN - 0375-9601

VL - 378

SP - 1113

EP - 1118

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 16-17

ER -