Abstract
In this paper, we investigate bright solitons and their interactions in trapless Bose-Einstein condensate described by a one-dimensional Gross-Pitaevskii equation in the presence of higher-order nonlinearity. By constructing appropriate Hirota bilinear form of the problem, we derive the one- and two-bright soliton solutions where the effects of the higher-order interaction term are discussed in details. The profile of different solutions obtained clearly presents the phenomenon of soliton interaction that embodies the properties of soliton. It also highlights the impact of higher-order interactions that plays the role of wave amplification/compression resulting from the condensate. The theoretical results confirm that Hirota bilinear method is an efficient and interesting tool for the analysis of nonlinearity in physical science. In addition, the higher-order interactions have significant effects on the stabilization process of Bose-Einstein condensates.
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