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Dynamic properties and drifting of the solution pattern of cubic nonlinear Schr?dinger equation with varying nonlinear parameters

Luo Xiang-Yi Liu Xue-Shen Ding Pei-Zhu

Dynamic properties and drifting of the solution pattern of cubic nonlinear Schr?dinger equation with varying nonlinear parameters

Luo Xiang-Yi, Liu Xue-Shen, Ding Pei-Zhu
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  • Abstract views:  3597
  • PDF Downloads:  1304
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  • Received Date:  26 April 2006
  • Accepted Date:  07 June 2006
  • Published Online:  26 January 2007

Dynamic properties and drifting of the solution pattern of cubic nonlinear Schr?dinger equation with varying nonlinear parameters

  • 1. 吉林大学原子与分子物理研究所,长春 130012

Abstract: The dynamic properties of one-dimensional cubic nonlinear Schr?dinger equation and drifting of the solution pattern are investigated numerically by using the symplectic method with different nonlinear parameters in the perturbation initial condition. The numerical simulation illustrates that the system shows different dynamic behaviors with varying nonlinear parameters, but the motion in the phase space is regularly recurrent. The results show that the drifting velocity for the small nonlinear parameter is small. With the nonlinear parameter increasing, drifting velocity of the solution pattern becomes faster at the same time of evolution.

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