Existence of solitary waves in dipolar quantum gases
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We study a nonlinear Schrodinger equation arising in the mean eld description of dipolar quantum gases. Under the assumption of su- ciently strong dipolar interactions, the existence of standing waves, and hence solitons, is proved together with some of their properties. This gives a rigorous argument for the possible existence of solitary waves in Bose-Einstein condensates, which originate solely due to the dipolar interaction between the particles.