We study the existence of localized matter waves in Bose Einstein condensate (BEC) loaded
into variable shape optical lattice (OL) potential. Similarity transformation is used to solve …

In this paper, we study the spin polarization of stationary and moving bright solitons in spin
orbit coupled Bose Einstein condensate trapped by a variable shape optical lattice. We …

We demonstrate the existence of modulational instability (MI) in both trapped miscible and
immiscible two component Bose–Einstein condensates. The study is addressed theoretically …

Modulation instabilities of matter waves described by a system of four coupled Gross–
Pitaevskii equations with two-and three-body interactions are analytically and numerically …

Recent research works on ultra cold quantum gases demonstrated that dipolar Bose–
Einstein condensates (BECs) exhibit rich spatiotemporal dynamic where both local and …