Zai-Dong Li

TL;DR: In this paper, the authors investigate the formation of a matter rogue wave in Bose-Einstein condensates with attractive interatomic interaction analytically and numerically and show that the formation is mainly due to the accumulation of energy and atoms toward its central part; and the decay rate of atoms in unstable matter rogue waves can be effectively controlled by modulating the trapping frequency of external potential.

TL;DR: In this article, the authors investigate the formation of the matter rogue wave in Bose-Einstein condensates with attractive interatomic interaction analytically and numerically and show that the formation is mainly due to the accumulation of energy and atoms toward to its central part; the decay rate of the atomic number can be effectively controlled by modulating the trapping frequency of external potential.

TL;DR: In this article, the Hirota method was developed carefully for applying into the effective mean-field model of quasi-one-dimensional Bose-Einstein condensation with repulsive interaction.

TL;DR: In this article, a Hirota method is developed for applying to the nonlinear Schrodinger equation with an arbitrary time-dependent linear potential which denotes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein condensation.

TL;DR: In this paper, a family of nonautonomous bright and dark soliton solutions of Bose-Einstein condensates with the time-dependent scattering length in an expulsive parabolic potential were presented.