Hirota method for the nonlinear Schrődinger equation with an arbitrary linear time-dependent potential
arXiv:1012.5470 · doi:10.1016/j.aop.2006.11.012
Abstract
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.
11 pages
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Cited by in corpus (4)
- Nonautonomous solitons of Bose-Einstein condensation in a linear potential with an arbitrary time-dependence
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- Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses