Bright soliton solution of a Gross–Pitaevskii equation

Toshio Tsuzuki

Hao Rui-ye

In this paper,we analyze Gross-Pitaevskii equation which describes the dynamics of a bright soliton in trapped atomic Bose-Einstein condensates,and obtain the exact bright soliton solution of Gross-Pitaevskii equation in spherically-symmetric non-harmonic trap.

Usama Al Khawaja

We derive classes of exact solitonic solutions of the time-dependent Gross-Pitaevskii equation with repulsive and attractive interatomic interactions. The solutions correspond to a string of bright solitons with phase difference between adjacent solitons equal to $π$. While the relative phase, width, and distance between adjacent solitons turn out to be a constant of the motion, the center of mass of the string moves with a constant acceleration arising from the inhomogeneity of the background.

Hidetsugu Sakaguchi

Usama Al Khawaja

We derive classes of exact solitonic solutions of the time-dependent Gross-Pitaevskii equation with repulsive and attractive interatomic interactions. The solutions correspond to a string of bright solitons with phase difference between adjacent solitons equal to pi. While the relative phase, width, and distance between adjacent solitons turn out to be a constant of the motion, the center of mass of the string moves with a constant acceleration arising from the inhomogeneity of the background.

Z. Oztas, E. Kaplan