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Paper detail

Hirota method for the nonlinear Schrődinger equation with an arbitrary linear time-dependent potential

In this paper, a Hirota method is developed for applying to the nonlinear Schrödinger equation with 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.

preprint2010arXivOpen access
Zai-Dong LiQiu-Yan LiXing-Hua HuZhong-Xi ZhengYu-Bao Sun
cond-mat.other
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Zai-Dong LiQiu-Yan LiXing-Hua HuZhong-Xi ZhengYu-Bao Sun

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