Hirota method for the nonlinear Schr\H{o}dinger equation with an arbitrary linear time-dependent potential
Other Condensed Matter
2010-12-30 v1
Abstract
In this paper, a Hirota method is developed for applying to the nonlinear Schr\"odinger equation with arbitrary time-dependent linear potential which denotes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein condensation. The nonlinear Schr\"odinger 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
Cite
@article{arxiv.1012.5470,
title = {Hirota method for the nonlinear Schr\H{o}dinger equation with an arbitrary linear time-dependent potential},
author = {Zai-Dong Li and Qiu-Yan Li and Xing-Hua Hu and Zhong-Xi Zheng and Yu-Bao Sun},
journal= {arXiv preprint arXiv:1012.5470},
year = {2010}
}
Comments
11 pages