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Direct perturbation method applied to three-dimensional nonlinear Schr?dinger equation

Cheng Xue-Ping Han Ping Lin Ji

Direct perturbation method applied to three-dimensional nonlinear Schr?dinger equation

Cheng Xue-Ping, Han Ping, Lin Ji
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  • Received Date:  09 August 2009
  • Accepted Date:  17 December 2009
  • Published Online:  15 October 2010

Direct perturbation method applied to three-dimensional nonlinear Schr?dinger equation

  • 1. (1)Physics, Mathematics and Information College of Zhejiang Ocean University, Zhoushan 316004, China; (2)Physics, Mathematics and Information Engineering College of Zhejiang Normal University,Jinhua 321004, China

Abstract: By applying the direct perturbation method to the 3-dimensional nonlinear Schrö,dinger equation with perturbation, we obtain its asymptotical solutions, which contain not only the zero-order solutions, but also the first-order corrections. Through these solutions, the effect of perturbation on the soliton is analyzed as well.

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