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Hirota method for the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential |
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| Authors: | Zai-Dong Li Xing-Hua Hu Yubao Sun |
| Institution: | a Department of Applied Physics, Hebei University of Technology, Tianjin 300130, China b Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China c Department of Physics, North University of China, Taiyuan 030051, China |
| Abstract: | In this paper, a Hirota method is developed for applying to the nonlinear Schrödinger equation with an arbitrary time-dependent linear potential which denotes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein condensation. The nonlinear Schrödinger equation is decoupled to two equations carefully. With a reasonable assumption the one- and two-soliton solutions are constructed analytically in the presence of an arbitrary time-dependent linear potential. |
| Keywords: | 03 75 Lm 05 30 Jp 67 40 Fd |
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