Superposed Akhmediev breather of the (3+1)-dimensional generalized nonlinear Schrodinger equation with external potentials

作者：Dai Chao Qing^*; Zhu Hai Ping

来源：Annals of Physics, 2014, 341: 142-152.

DOI：10.1016/j.aop.2013.11.015

• Nonlinear Schrodinger equation
• Superposed Akhmediev breather
• Controllable dynamical behaviors

The one-to-one correspondence between a (3 + 1)-dimensional variable-coefficient nonlinear Schrodinger equation with linear and parabolic potentials and a standard nonlinear Schrodinger equation is given, and an exact superposed Akhmediev breather solution in certain parameter conditions is obtained. These precise expressions for the peak, width, center and phase indicate that diffraction and chirp factors influence the evolutional characteristics such as phase, center and width, while the gain/loss parameter only affects the evolution of the peak. Moreover, by modulating the relation between the terminal accumulated time T-e or the maximum accumulated time T-m and the accumulated time T-0 based on the maximum amplitude of Akhmediev breather, the controllability for the type of excitation such as postpone, maintenance and restraint of the superposed Akhmediev breather is discussed.

• 出版日期2014-2
• 单位浙江农林大学; 丽水学院